12 38 PM IST - 04 Mar'26

Students from Mangalagiri share reviews

Karthik, Manmitha and Lahari from Mangalagiri shared their review on the 2A Maths question paper. All three students rated the papers slightly tough and time-consuming. The long answer questions took time to solve and 2 mark questions were tricky to. 

12 08 PM IST - 04 Mar'26

CollegeDekho Team Receives Question Paper: Paper Moderate to Tough

CollegeDekho team has received the question paper and initial reviews suggest that the paper was 'Moderate to Tough' with respect to difficulty level. 

12 04 PM IST - 04 Mar'26

Student reviews shortly

Students will be coming out of the exam centres shortly, and the reviews shall be collected. CollegeDekho team is waiting at an exam centre located in Mangalagiri to collect student reviews and question paper. 

12 00 PM IST - 04 Mar'26

AP Inter Maths 2A Exam 2026 Concludes Successfully

The Mathematics 2A examination has concluded across Andhra Pradesh. Authorities confirmed smooth conduct of the exam, while students are now leaving centres. Live student reactions, expert analysis, and expected marks evaluation will be updated shortly.

11 30 AM IST - 04 Mar'26

Maths 2A Exam to Conclude Shortly

The AP Inter 2nd Year Mathematics 2A examination will conclude shortly. Students are expected to begin exiting examination centres after 12:00 Noon. Initial reactions and difficulty level analysis will be updated soon in this LIVE blog.

10 30 AM IST - 04 Mar'26

Examination Progresses Without Disruptions

Officials report that the Maths 2A exam is progressing peacefully with no major issues reported from centres. Basic facilities including drinking water, ventilation, and seating arrangements have been adequately maintained to ensure a comfortable exam environment for students.

09 30 AM IST - 04 Mar'26

Maths 2A Exam Underway Smoothly Across Centres

The AP Inter 2nd Year Mathematics 2A examination is being conducted smoothly across examination centres in the state. Students began writing the paper under strict invigilation, and authorities ensured timely distribution of question papers and proper seating arrangements.

09 00 AM IST - 04 Mar'26

Maths 2A Exam Begins

The AP Inter 2nd Year Mathematics 2A Examination 2026 has officially commenced across examination centres. Students have begun writing the paper under supervision. Stay tuned for section-wise analysis and important questions asked in the exam.

08 00 AM IST - 04 Mar'26

Reach Exam Centre Early

Students are advised to reach the examination centre at least 30 minutes before reporting time. Carry required materials and maintain calmness.

07 00 AM IST - 04 Mar'26

Exam Attempt Order Strategy

Exam strategy reminder:

1. Attempt 2-mark questions first

2. Move to known 4-mark questions

3. Attempt the strongest long answer first

06 00 AM IST - 04 Mar'26

Final Revision Capsule

Students should now focus on confidence-building rather than new learning. Mathematics 2A is a step-based paper and rewards clarity.

05 00 AM IST - 04 Mar'26

Morning Confidence Booster

Wake-up revision capsule:
• Demoivre’s Theorem statement
• Independent term problems
• Reciprocal roots problems
• Mean and variance steps

04 00 AM IST - 04 Mar'26

Early Morning Mental Revision

Early morning revision tip: Go through important long-answer headings mentally rather than re-solving entire questions.

03 00 AM IST - 04 Mar'26

Late Night Revision Advice

If students are awake, revising, and focus only on short notes and previously solved examples. Avoid lengthy problem-solving at this hour.

02 00 AM IST - 04 Mar'26

Presentation Matters in Maths

Experts emphasize that neat presentation plays a key role in Mathematics exams. Write steps clearly and box final answers in the exam.

01 00 AM IST - 04 Mar'26

Quick Binomial Theorem Reminder

Quick formula checklist before sleep:
• nPr and nCr formulas
• Independent term condition
• Conditional probability formula
• Variance and standard deviation formula

12 00 AM IST - 04 Mar'26

Midnight Checklist for Exam Day

Midnight reminder: Keep hall ticket, stationery, and necessary documents ready. Avoid last-minute stress in the morning.

Small revision builds confidence.

11 00 PM IST - 03 Mar'26

Sleep Strategy for Better Performance

Students are encouraged to get adequate sleep. Proper rest improves concentration and reduces calculation errors during the exam.

10 00 PM IST - 03 Mar'26

Stop Learning New Topics Now

Final night preparation should now focus only on formula revision and reviewing solved examples. Avoid solving completely new model papers at this hour to prevent confusion.Shift to revision mode only.

Note: Avoid heavy problem solving late night.

09 40 PM IST - 03 Mar'26

Final Formula Check Before Night Break

Students must revise key formulas now.

Practice Question:
Find mean of 2, 4, 6.

Solution:
Mean = 4.

Note:  Statistics formulas should be memorised.

09 20 PM IST - 03 Mar'26

Important Long Answer Strategy for Tonight

Experts suggest solving at least two long-answer questions before ending preparation.

Practice Question:
Find independent term in (x + 2/x) power 10.

Solution:
General term power of x becomes zero when r = 5.
Independent term = 10C5 × 2 power 5 = 8064.

09 00 PM IST - 03 Mar'26

Start Final Revision with High-Weightage Chapters

With the Mathematics 2A exam approaching, students should begin final preparation by focusing on Binomial Theorem and Probability, which traditionally carry higher marks.

Quick Practice Problem:
Find coefficient of x2 in (1 + x) power 4.

Solution:
Coefficient = 4C2 = 6.

08 40 PM IST - 03 Mar'26

ONE-PAGE QUICK REVISION SHEET (All Important Formulas)

1. Complex Numbers

Modulus = √(a² + b²)
Polar form = r (cos θ + i sin θ)

2. Demoivre’s Theorem

(cos θ + i sin θ)^n = cos nθ + i sin nθ

3. Quadratic Equation

Discriminant D = b² − 4ac

Sum of roots = −b/a
Product of roots = c/a

4. Permutations & Combinations

nPr = n! / (n − r)!
nCr = n! / [r!(n − r)!]

nCr = nC(n − r)

5. Binomial Theorem

(a + b)^n = Σ nCr a^(n − r) b^r

General term T(r+1) = nCr a^(n − r) b^r

Number of terms = n + 1

6. Partial Fractions

Proper fraction: degree numerator < degree denominator

7. Measures of Dispersion

Mean = Σfx / N

Variance = Σ(x − x̄)² / N

Standard Deviation = √Variance

Step deviation:
SD = h √[ (Σfu² / N) − (Σfu / N)² ]

8. Probability

P(A') = 1 − P(A)

Addition theorem:
P(A ∪ B) = P(A) + P(B) − P(A ∩ B)

Conditional probability:
P(A|B) = P(A ∩ B) / P(B)

9. Random Variables

E(X) = Σ x p(x)

Variance = E(X²) − [E(X)]²

08 20 PM IST - 03 Mar'26

Top 20 Very Short Real Model Questions

1. Find modulus of 3 + 4i.

2. Find argument of 1 + i.

3. Convert 1 + i into polar form.

4. Find square roots of -4.

5. Find discriminant of 2x2 - 4x + 5 = 0.

6. Find nature of roots of x2 - 4x + 4 = 0.

7. Evaluate 5P2.

8. Evaluate 6C3.

9. Find general term in expansion of (x + 1) power 5.

10. Find coefficient of x2 in (1 + x) power 4.

11. Resolve (2x + 3) divided by (x - 1) into partial fractions.

12. Find mean of data 2, 4, 6, 8.

13. Find variance of numbers 1, 2, 3.

14. Find probability of getting head when a coin is tossed once.

15. If P(A) = 1/3, find P(A complement).

16. If P(A) = 1/2 and P(B) = 1/3, find P(A union B) when A and B are mutually exclusive.

17. Verify whether 1/4, 1/4, 1/2 form a probability distribution.

18. Find expected value if X takes values 0, 1 with probabilities 1/2, 1/2.

19. Find value of 4 factorial.

20. Find number of terms in expansion of (a + b) power 7.

08 00 PM IST - 03 Mar'26

Section-wise Attempt Order Strategy

Step 1: Attempt Very Short Answers First

        Quick scoring (confidence boost)

Step 2: Attempt Known 4-Mark Questions

        Choose direct formula-based problems

Step 3: Attempt Strongest Long Answer First

        Prefer Binomial Theorem or Probability

Step 4: Leave Toughest Question for Last

        Do not waste early time on one problem

07 40 PM IST - 03 Mar'26

Probability: Short Answer problems (4M)

1. Find probability of head in coin toss.

2. Find probability of drawing red card.

3. Compute P(A ∪ B).

4. Find complementary probability.

5. Check independence of events.

07 20 PM IST - 03 Mar'26

Partial Fractions: Short Answer problems (4M)

1. Resolve simple rational fraction.

2. Find constants A and B.

3. Decompose (x + 3)/(x − 2).

4. Write partial fraction form.

5. Simplify rational expression.

07 00 PM IST - 03 Mar'26

Combinations: Short Answer problems (4M)

1. Evaluate 6C2.

2. Evaluate 8C3.

3. Write relation between permutation and combination.

4. Show nC1 = n.

5. Compute 5C0.

06 40 PM IST - 03 Mar'26

Last 12 Hours Strategy Before Maths 2A Exam

• Revise Binomial Theorem formulas (general term, middle term, independent term)
• Solve 2–3 problems from Probability (conditional & addition theorem)
• Practise 1 long answer from Theory of Equations
• Revise Permutations & Combinations formulas

06 20 PM IST - 03 Mar'26

Permutations: Short Answer problems (4M)

1. Evaluate 6P3.

2. Evaluate 5P2.

3. Arrange 4 persons in a row.

4. Number of permutations of 5 objects.

5. Write permutation formula.

06 00 PM IST - 03 Mar'26

Quadratic Expression & Quadratic Equation: Short Answer problems (4M)

1. Find discriminant of x² − 6x + 9 = 0.

2. Find sum and product of roots of x² − 8x + 12 = 0.

3. Determine nature of roots of x² + 4x + 5 = 0.

4. Find quadratic equation with roots 3 and 4.

5. Write relation between roots and coefficients.

05 40 PM IST - 03 Mar'26

Complex Numbers: Short Answer problems (4M)

1. Find modulus and argument of 3 + 4i.

2. Express (1 + i) / (1 − i) in a + ib form.

3. Find multiplicative inverse of 7 + 24i.

4. Find conjugate of (5 − 3i) and verify z × conjugate(z).

5. Find real and imaginary parts of (a + ib) / (a − ib).

05 20 PM IST - 03 Mar'26

CollegeDekho Expert Strategy to Maximise Marks

• Strong focus on Binomial + Probability
• Practice 2 long answers daily
• Do not lose 2-mark questions
• Show steps clearly
• Revise formulas last 30 minutes

05 00 PM IST - 03 Mar'26

Exam Tips for chapters 10,11

Probability + Random Variables & Probability Distribution

Write probability formulas before solving
Addition theorem and conditional probability are must.

Use complement rule for “at least” questions
It saves time and reduces mistakes.

Check total probability equals 1
Especially in distribution questions.

Find E(X²) before variance
Students often forget this step.

Be careful with fraction calculations
Avoid small arithmetic errors.

Practice one binomial distribution application problem
It is frequently repeated.

04 40 PM IST - 03 Mar'26

Random Variables & Probability Distribution: Long Answer problems (7M)

1. Verify probability distribution.

2. Find mean and variance of distribution.

3. Binomial distribution application problem.

4. AP condition in binomial probabilities.

5. Expected value problem.

04 20 PM IST - 03 Mar'26

Probability: Long Answer problems (7M)

1. Prove Addition Theorem of Probability.

2. Solve conditional probability problem.

3. Independent events problem.

4. Probability using complement rule.

5. Application problem using probability laws.

04 00 PM IST - 03 Mar'26

Exam Tips for chapters 7,8,9

Binomial Theorem + Partial Fractions + Measures of Dispersion

Memorise general term formula T(r+1)
This alone can secure 7–8 marks.

In independent term problems, equate power to zero correctly
Most students make mistake here.

In Partial Fractions, write assumed form clearly first
Then compare coefficients step-by-step.

For Measures of Dispersion, follow fixed order:
Mean → Variance → Standard Deviation.

Draw proper tables in statistics questions
Neat tables fetch full marks.

Practice at least one full long answer from each chapter
These chapters are high scoring.

03 40 PM IST - 03 Mar'26

Measures of Dispersion: Long Answer problems (7M)

1. Find variance and standard deviation for grouped data.

2. Find mean deviation about mean.

3. Solve using step deviation method.

4. Find coefficient of variation.

5. Compare two distributions using CV.

03 20 PM IST - 03 Mar'26

Partial Fractions: Long Answer problems (7M)

1. Resolve (3x + 5)/((x − 1)(x + 2)).

2. Resolve (2x + 1)/(x² − 1).

3. Decompose rational function into partial fractions.

4. Resolve with repeated linear factors.

5. Solve algebraic fraction decomposition.

03 00 PM IST - 03 Mar'26

Binomial Theorem: Long Answer problems (7M)

1. Expand (x + 2)^10 using binomial theorem.

2. Find general term of (1 + x)^n.

3. Find independent term in (x + 2/x)^10.

4. Find middle term of (x + 1)^8.

5. Find coefficient of x³ in (1 + 3x)^8.

02 40 PM IST - 03 Mar'26

Exam Tips for chapters 4,5,6

Theory of Equations + Permutations + Combinations

Memorise root–coefficient relations and nPr / nCr formulas
These are direct scoring areas.

Identify whether it is selection or arrangement
Students lose marks by confusing permutation and combination.

For transformation problems, proceed slowly and clearly
Write each substitution properly.

Factorial calculation must be accurate
Remember 0! = 1 and simplify carefully.

Practice identity-based problems
They are easy marks if formulas are remembered.

Avoid skipping algebra steps in cubic equations
Step marks matter in long answers.

02 20 PM IST - 03 Mar'26

Combinations: Long Answer problems (7M)

1. In how many ways can a committee of 3 be formed from 7 persons?

2. Prove nCr = nC(n − r).

3. Select 4 students from 10 students.

4. Number of selections of 5 books from 12.

5. Committee formation including particular member.

02 00 PM IST - 03 Mar'26

Permutations: Long Answer problems (7M)

1. Find number of arrangements of word BANANA.

2. In how many ways can 6 persons sit around a circular table?

3. Find number of arrangements of MATHS.

4. Find number of permutations of 7 objects taken 3 at a time.

5. Find arrangements when vowels come together.

01 40 PM IST - 03 Mar'26

Theory of Equations: Long Answer problems (7M)

1. If α and β are roots of x² − 5x + 6 = 0, find equation whose roots are 1/α and 1/β.

2. Solve x³ − 6x² + 11x − 6 = 0.

3. Find equation whose roots are squares of roots of x² − 4x + 3 = 0.

4. If α, β, γ are roots of cubic equation, prove relation between roots and coefficients.

5. Find equation whose roots are increased by 2.

01 20 PM IST - 03 Mar'26

Exam Tips for chapters 1,2,3

Complex Numbers + Demoivre’s Theorem + Quadratic Expression & Quadratic Equation

Master the core formulas first

• Modulus and argument formula

• Demoivre’s Theorem formula

• Discriminant and root-coefficient relations

Always write formula before substitution
This gives step marks even if calculation mistake happens.

Practice one full long answer from each chapter

• Square root of complex number

• Demoivre’s proof

• Formation of quadratic equation

Be careful with signs and angles
Most mistakes happen in angle calculation and discriminant sign.

Show step-by-step simplification
Do not skip intermediate steps, especially in transformation problems.

Revise common repeated models

• Roots of unity

• Reciprocal roots

• Nature of roots questions

01 00 PM IST - 03 Mar'26

Theory of Equations: Long Answer problems (7M)

1. Form quadratic equation whose roots are 2 + √3 and 2 − √3.

2. Find quadratic equation whose roots are reciprocals of roots of x² − 5x + 6 = 0.

3. Find nature of roots of 2x² − 4x + 5 = 0 using discriminant.

4. If α and β are roots of x² − 7x + 10 = 0, find equation whose roots are α² and β².

5. Find equation whose roots are increased by 3 from roots of x² − 3x + 2 = 0.

12 40 PM IST - 03 Mar'26

Demoivre’s Theorem: Long Answer problems (7M)

1. State and prove Demoivre’s Theorem.

2. Find the 4th roots of unity.

3. Show that (1 + i)^n + (1 − i)^n = 2^((n + 2)/2) cos(nπ/4).

4. If alpha and beta are roots of x^2 − 2x + 4 = 0, prove that α^n + β^n = 2^(n+1) cos(nπ/3).

5. Find cube roots of unity using Demoivre’s Theorem.

12 20 PM IST - 03 Mar'26

Complex Numbers: Long Answer problems (7M)

1. Find the square roots of −5 + 12i.

2. Express −√7 + i√21 in polar form and find its argument.

3. Show that the points represented by 2+2i, −2−2i, 2√3+2√3i form an equilateral triangle.

4. If z1 and z2 are complex numbers such that z1z2 + z2z1 = 0, prove that angle between them is 90 degrees.

5. Find the locus of z satisfying |z − 2| = |z + 2|.

12 00 PM IST - 03 Mar'26

Random Variables & Probability Distribution – Important Question 2

Q 2.  In the experiment of tossing a coin nnn times,

If X denotes the number of heads and

are in arithmetic progression,

Find n.

11 40 AM IST - 03 Mar'26

Random Variables & Probability istribution – Important Question 1

11 20 AM IST - 03 Mar'26

How to score 90+ in Maths 2A? Expert strategy

1. Revise high-weightage chapters first

• Binomial Theorem

• Probability

• Theory of Equations

• Measures of Dispersion

• Random Variables

2. Prepare important long answers (7/8 marks)

• Practice step-wise solutions

• Remember key proofs & formulas

3. Score full in 4-mark questions

• Permutations & Combinations

• Partial Fractions

• Binomial problems

• Probability models

4. Don’t lose 2-mark questions

• Revise formulas daily

• Definitions & identities

• Relations between roots

5. Follow exam attempt order

• First → 2-mark questions

• Next → 4-mark questions

• Last → Long answers

6. Maintain neat presentation

• Write formula first

• Show steps clearly

• Box final answers

11 00 AM IST - 03 Mar'26

Most Repeated Theory Questions in Public Exam

1.  State and prove Demoivre’s Theorem
2.  State Binomial Theorem
3.  Prove Addition Theorem of Probability
4.  Write relation between roots and coefficients
5.  Write formula for variance

10 40 AM IST - 03 Mar'26

Presentation Tips for Full Marks

1.  Draw proper table columns
2.  Write headings clearly: x,f,d,fd,fd²
3.  Show formula before substitution
4.  Box the final answers
5.  Write units if given

• Even if calculation has a small mistake, correct steps fetch most marks.
• Clear step-wise presentation = Full Marks Guaranteed.

10 20 AM IST - 03 Mar'26

Exam Tip (Very Important) — Measures of Dispersion

In Maths 2A Public Exam, the long answer question from Measures of Dispersion almost always follows a fixed solving pattern.

Always use the Step Deviation Method

Follow this exact order while writing:

1. Find Mean (xˉ)
2. Calculate Deviations d=x−A or u=(x−A)/h
3. Find Variance σ²=∑fd²/N​

(or Step Deviation formula)

4. Find Standard Deviation

10 00 AM IST - 03 Mar'26

Mean Deviation: Important Question no: 3

Calculate variance and standard deviation for discrete frequency distribution

Solution

Total frequency: N=30

Mean: xˉ=13

Variance:  σ²=36

Standard deviation: σ=6

Variance = 36
Standard Deviation = 6

09 40 AM IST - 03 Mar'26

Mean Deviation: Important Question no: 2

Q. Calculate variance and standard deviation of continuous frequency distribution

Solution (Step Deviation Method):

Step 1: Find class mid values (x)

30–40 → 35
40–50 → 45
50–60 → 55
60–70 → 65
70–80 → 75
80–90 → 85
90–100 → 95

Assumed Mean A = 65
Class width h = 10

Step 2: Calculate u = (x − A) / h

x : 35, 45, 55, 65, 75, 85, 95
u : −3, −2, −1, 0, 1, 2, 3

Step 3: Prepare Table

f : 3, 7, 12, 15, 8, 3, 2

fu values:

3(−3) = −9
7(−2) = −14
12(−1) = −12
15(0) = 0
8(1) = 8
3(2) = 6
2(3) = 6

Sum of fu = −15

fu² values:

3×9 = 27
7×4 = 28
12×1 = 12
15×0 = 0
8×1 = 8
3×4 = 12
2×9 = 18

Sum of fu² = 105

Total frequency N = 50

Step 4: Mean

Mean = A + h (Sum fu / N)

Mean = 65 + 10(−15/50)
Mean = 65 − 3
Mean = 62

Step 5: Variance

Variance = h² [ (Sum fu² / N) − (Sum fu / N)² ]

Variance = 100 [ (105/50) − (−15/50)² ]

Variance = 100 [ 2.1 − 0.09 ]

Variance = 100 × 2.01

Variance = 201

Step 6: Standard Deviation

Standard Deviation = square root of 201

Standard Deviation ≈ 14.18

Final Answer:

Variance = 201
Standard Deviation ≈ 14.18

09 20 AM IST - 03 Mar'26

Mean Deviation: Important Question no:1

Q. Find the mean deviation about the mean for the following data

Solution:

Step 1: Find mid values (x)

0–10 → 5
10–20 → 15
20–30 → 25
30–40 → 35
40–50 → 45

Step 2: Calculate fx

x : 5, 15, 25, 35, 45
f : 5, 8, 15, 16, 6

fx values:

5 × 5 = 25
8 × 15 = 120
15 × 25 = 375
16 × 35 = 560
6 × 45 = 270

Sum of f = 50
Sum of fx = 1350

Mean = 1350 / 50
Mean = 27

Step 3: Calculate f |x − Mean|

|5 − 27| = 22 → 5 × 22 = 110
|15 − 27| = 12 → 8 × 12 = 96
|25 − 27| = 2 → 15 × 2 = 30
|35 − 27| = 8 → 16 × 8 = 128
|45 − 27| = 18 → 6 × 18 = 108

Sum of f |x − Mean| = 472

Mean Deviation = 472 / 50
Mean Deviation = 9.44

Final Answer:
Mean Deviation about Mean = 9.44

09 00 AM IST - 03 Mar'26

How many long answer questions expected from Probability & Binomial Theorem?

Based on previous exam patterns:

• Binomial Theorem → Usually 1 or 2 long answer questions (7 marks)

• Probability → Usually 1 long answer question (7 marks)

 So, students can expect at least 2 to 3 long answer questions combined from these two chapters.

08 40 AM IST - 03 Mar'26

Which chapters guarantee passing marks in Maths 2A?

If students prepare smartly, the following chapters can secure safe passing marks (35+):

Binomial Theorem – High weightage, predictable models
Probability – Regular long + short answer questions
Complex Numbers – Sure short answers + one descriptive
Permutations & Combinations – Direct formula-based problems
Partial Fractions – Easy 4-mark scoring area

08 20 AM IST - 03 Mar'26

TOP 25 very important questions

Students can click here to view the top 25 important questions for AP Inter 2nd Year Maths 2A Exam 

08 00 AM IST - 03 Mar'26

Polar Form: Important solved problem

Question:

Express 2 + 2i in polar form.

Solution:

Given z = 2 + 2i

Modulus

r = √ (4 + 4)
r = √ 8
r = 2√2

Argument

tan θ = 2 / 2 = 1

θ = 45°

Polar form

z = 2√2 (cos 45°+ i sin 45°)

    ​

07 40 AM IST - 03 Mar'26

Most Repeated Exam Areas (From Previous Papers)

According to AP Inter important questions collections, the most repeated areas are:

• Polar form
• Locus problems
• Argand geometry
• Square roots of complex numbers
• Real & imaginary parts
• Multiplicative inverse

07 20 AM IST - 03 Mar'26

Complex Numbers – Important Questions

1. Argand Diagram Problem

Question: Find the modulus of the complex number 3 + 4i and represent it on the Argand plane.

Solution:

Given complex number z = 3 + 4i

Modulus of z = square root of (3 squared + 4 squared)

= square root of (9 + 16)

= square root of 25

= 5

On the Argand plane, the point representing z is (3, 4).

Final Answer:
Modulus = 5
Point on Argand plane = (3, 4)

2. Real & Imaginary Parts

Question:
Find real and imaginary parts of

Answer:
Multiply by conjugate:

Real part:

Imaginary part:

2ab/a2+b2

07 00 AM IST - 03 Mar'26

Theory of Equations:Important Questions & Solutions

06 40 AM IST - 03 Mar'26

Demoivre’s Theorem – Important Problems

Question: If cosα+cosβ+cosγ=0=sinα+sinβ+sinγ, show that:i) ∑cos3α=3cos(α+β+γ)ii) ∑sin3α=3sin(α+β+γ)iii) ∑cos(α+β)=0

Solution Summary:
Let a=cisα, b=cisβ, c=cisγ.
Since ∑a=0, then a3+b3+c3=3abc.
Applying De Moivre's, cis3α+cis3β+cis3γ=3cis(α+β+γ).
Equating real and imaginary parts proves (i) and (ii). Part (iii) follows from the identity ∑a1​=0.

Question: Find all the roots of the equation x11−x7+x4−1=0

Solution Summary:
Factorize the equation as (x7+1)(x4−1)=0.
The roots are found by solving x7=−1 and x4=1.
Use the general formula x=[cis(π+2kπ)]1/7 for the first part and
x=[cis(2kπ)]1/4 for the second.

 

06 20 AM IST - 03 Mar'26

Demoivre’s Theorem – Important Problems

06 00 AM IST - 03 Mar'26

Standard Deviation: Important problem

Q: Find variance and standard deviation for:    2, 4, 6, 8, 10

Solution:

Mean: xˉ     =30/5 = 6

    ∑ (x−xˉ)2 = 40

Variance:  σ² =40/5 = 8

Standard Deviation:  σ=√8​=2√2​

Variance = 8
Standard Deviation = 2√2

05 40 AM IST - 03 Mar'26

Coefficient of Variation: Important problem

Question:
Mean = 40, Standard deviation = 5. Find Coefficient of Variation.

Solution:

Solution:

Formula: Coefficient of Variation (C.V.) = (Standard Deviation / Mean) × 100

Substitute the given values:

C.V. = (5 / 40) × 100

C.V. = 0.125 × 100

C.V. = 12.5 percent

Final Answer:
Coefficient of Variation = 12.5 percent

05 20 AM IST - 03 Mar'26

Most Repeated Problems from Random Variables & Probability Distribution

Students should revise questions related to discrete random variables, probability distribution tables, mean (E(X)), variance calculations, and expected value problems. Finding probabilities from given distributions and verifying whether a function represents a valid probability distribution are among the most repeated exam questions.

05 00 AM IST - 03 Mar'26

Expected Long Answers from Theory of Equations

Long-answer questions are commonly asked on relations between roots and coefficients, formation of equations when roots are modified, symmetric functions of roots, and solving higher-degree equations using transformations. Problems based on sum and product of roots remain highly predictable every year.

04 40 AM IST - 03 Mar'26

Last-Minute Formulas from Probability Chapter

During final revision, students must remember key probability formulas:

• P(A) = Number of favourable outcomes / Total outcomes

• P(A′) = 1 − P(A)

• P(A ∪ B) = P(A) + P(B) − P(A ∩ B)

• Conditional Probability: P(A|B) = P(A ∩ B) / P(B)

• Independent Events: P(A ∩ B) = P(A) × P(B)

04 20 AM IST - 03 Mar'26

Important 7-Mark Questions from Binomial Theorem

Students should focus on frequently asked long-answer models from the Binomial Theorem. Expected areas include general term (Tᵣ₊₁) problems, middle term identification, binomial expansion using powers, finding independent terms, and coefficient-based questions. Questions involving binomial expansion for fractional or negative indices are also repeatedly asked in public exams.

04 00 AM IST - 03 Mar'26

Which chapter carries highest weightage in Maths 2A 2026?

Based on previous examination patterns and weightage trends, the chapter that generally carries the highest weightage in Maths 2A is:

Binomial Theorem – Around 16 Marks

Over the years, Binomial Theorem has consistently featured:

• Long answer (7-mark) questions

• Applications-based problems

• Short answer components

It is considered one of the most scoring and high-priority chapters.

Close behind is:

Probability – Around 15 Marks

Probability usually includes:

• One major long-answer question

• Multiple 4-mark problems

• Concept-based applications

So, based on previous patterns, Binomial Theorem and Probability together form the most crucial and high-scoring portion of the Maths 2A question paper. Students should prioritise these chapters during last-minute revision.