TS Intermediate Math Important Questions 2026

TS Intermediate Math Important Questions 2026 are provided here after going through the recent model papers and previous year question papers. The important questions are from the maximum weightage-carrying chapters/topics like Algebra - Theory of Equations, Permutations and Combinations, Matrices, Functions, Complex Numbers, Calculus - Integration, Differential Equations, Applications of Derivatives, Vectors, Probability, and Coordinate Geometry - Straight Lines, 3D Geometry. Among these, algebraic manipulation, calculus problem-solving, and coordinate geometry formulas are very important to learn before attempting the questions provided here. You can check TS Intermediate Math Sample Papers 2026 to get an idea about the format of the questions.

Solving these TS Intermediate Math important questions will help you score better marks in the upcoming exam. Through these you will be able to evaluate your preparation level and identify your weak areas. The Telangana State Intermediate 2nd Year Mathematics exam is divided into Mathematics Paper-II A and Paper-II B, where you need to pass both papers to clear the subject. With II A focusing on topics like complex numbers, binomial theorem, and probability, while II B delves into conic sections, integration, and differential equations. Check out what are the TS Intermediate Math Important Questions 2026.

Also Check TS Intermediate Math Syllabus 2026

TS Intermediate Math Important Questions 2026 of 2 Marks

You will find 2 marks questions in Section A, where you need to answer 10 questions. Check out the probable TS Intermediate Math Important Questions 2026 of 2 Marks:

• Find the value of k if the points (4, 2) and (k, -3) are conjugate points with respect to the circle x² + y² - 5x + 8y + 6 = 0.
• Find the angle between the circles given by the equations x² + y² - 12x - 6y + 41 = 0 and x² + y² + 4x + 6y - 59 = 0.
• If 3x - 4y + k = 0 is a tangent to the hyperbola x² - 4y² = 5, find the value of k.
• Find the coordinates of the points on the parabola y² = 8x whose focal distance is 10.
• Obtain the parametric equation of the circle 4(x² + y²) = 9.
• Find the order of the differential equation of the family of all the circles with their centers at the origin.
• If (a+ib)² = x+iy, find 𝑥²+𝑦².
• For what values of the expression 𝑥²−5𝑥−14 is it positive?
• If 𝛼, 𝛽, and 𝛾 are the roots of 4𝑥³−6𝑥²+7𝑥+3=0, then find the value of 𝛼𝛽+𝛽𝛾+𝛾𝛼.
• Find the number of ways of arranging the letters of the word INTERMEDIATE.
• Find the set E of the values of 𝑥 (3−4𝑥) ^3/4 for which the binomial expansion is valid.
• Find the mean deviation from the median of the following discrete data: 6, 7, 10, 12, 13, 4, 12, 16
• The probability that a person chosen at random is left-handed (in handwriting) is 0.1. What is the probability that in a group of 10 people, there is one who is left-handed?

TS Intermediate Math Important Questions 2026 of 4 Marks

Section B of TS Intermediate Math contains 4 marks questions where you need to attend to any 5 questions. Check out TS Intermediate Math Important Questions 2026 of 4 Marks:

• If a point P is moving such that the lengths of tangents drawn from P to the circles x² + y² - 4x - 6y - 12 = 0 and x² + y² + 6x + 18y + 26 = 0 are in the ratio 2:3, then find the equation of the locus of P.
• Find the equation and the length the common chord of the following circles: x² + y² + 2x + 2y + 1 = 0; y² + 4x + 3y + 2 = 0.
• Find the equation of the ellipse in the standard form if it passes through the points 20 (-2, 2) and (3, -1).
• Find the equation of the tangents to the ellipse 2x² + y² = 8 which are (i) parallel to x - 2y - 4 = 0 and (ii) perpendicular to x+y+2 =0
• Find the area of the region bounded by the parabolas y²= 4x and x²= 4y. dy
• Solve the following differential equation: (x + y + 1) = 1.
• Show that the four points in the Argand plane represented by the complex numbers 2+𝑖, 4+3𝑖, 2+5𝑖, and 3𝑖 are the vertices of a square.
• If the letters of the word PRISON are permuted in all possible ways and the words thus formed are arranged in dictionary order, find the rank of the word PRISON.
• Find the number of ways of forming a committee of 5 members out of 6 Indians and 5 Americans so that the Indians will always be in the majority in the committee.
• A, B, and C are three horses in a race. The probability of A to win the race is twice that of B, and the probability of B is twice that of C. What are the probabilities of A, B and C to win the race?
• A speaks truth in 75% of the cases and B in 80% of the cases. What is the probability that their statements about an incident do not match?

Also Check TS Intermediate Math Previous Year Question Papers

TS Intermediate Math Important Questions 2026 of 7 Marks

Section C of TS Intermediate Math contains 7 marks questions where you need to attempt 5 questions. Check out TS Intermediate Math Important Questions 2026 of 7 Marks:

• If (2, 0), (0, 1), (4, 5) and (0, c) are concyclic, then find с.
• Find the transverse common tangents of the circles x² + y² - 4x - 10y + 28 = 0 and x² + y² + 4x - 6y + 4 = 0. 20. Derive the equation of a parabola in the standard form y² = 4ax with a diagram.
• Find the polynomial equation whose roots are the translates of those of the equation 𝑥⁵−4𝑥⁴+3𝑥²−4𝑥+6=0 by −3.
• If the coefficients of 4 consecutive terms in the expansion of (1+𝑥)𝑛 are 𝑎1, 𝑎2, 𝑎3, and 𝑎1, 𝑎2, 𝑎3, 𝑎4 respectively, then show that 𝑎1𝑎1+𝑎2+𝑎3𝑎3+𝑎4=2𝑎2𝑎2+𝑎3.

Which Chapters have more weightage in TS Intermediate Math Exam?

Some of the chapters that carry maximum weightage in the TS Intermediate Math Exam are from Algebra, Calculus, Coordinate Geometry, Trigonometry, and Vectors & 3D Geometry. Important topics in Algebra are Theory of Equations, Permutations & Combinations, Matrices, Functions, Complex Numbers. In Calculus, you can focus on Integration, Differential Equations, Applications of Derivatives, Maxima and Minima. in Coordinate Geometry, key topics are Straight Lines, pairs of Straight Lines, 3D Lines and Planes, Direction Cosines. You must focus more on Compound Angles, Trigonometric Ratios, Periodicity in Trigonometry. Other important areas are Mathematical Induction, Probability, Binomial Theorem.