KCET Mathematics Answer Key 2026 (Available): Download Solutions & Check Your Score

Review KCET 2026 Mathematics answer key immediately after the exam. Students can use it to calculate their estimated scores. The paper featured 60 total questions to be solved in 80 minutes. Questions were asked from heavy weightage topics, like Calculus and Algebra.

Table of Contents

KCET 2026 Mathematics Questions and Answer Key
How to Calculate Your Score Using the KCET 2026 Answer …
What to Expect in KCET 2026 Mathematics Post-exam?

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Day 2 of KCET 2026 exam has been concluded on April 24, 2026. If you have appreared for the Mathematics paper in the morning shift (10:30-11:50 AM), you will surely want to check your answers as soon as you walk out of that exam hall. To make it easier for you, KCET Mathematics answer key 2026 along with memory-based questions have been updated here. KCET 2026 is your ticket to the best engineering and science colleges in Karnataka and each mark in the Mathematics section does count. CollegeDekho team provides you with the best and the most accurate answer key. Check below!

As per the initial reaction and feedback shared by the students, the KCET 2026 Mathematics paper was moderately difficult with some lengthy calculations . The questions were majorly doable and not as tricky as fond in the Physics paper on Day 1. However, for the majority of the test-takers, effective time management stood as the main challenge due to heavy calculations. The paper followed the usual pattern, featuring about 45 questions from the 2nd PUC syllabus and 15 from the 1st PUC syllabus . Key areas of focus included Calculus , Algebra , and 3D Geometry , requiring students to maintain high speed and accuracy to complete 60 questions in 80 minutes.

Also Read: KCET Predicted Marks vs Rank 2026 Analysis with 2nd PUC Weightage

KCET 2026 Mathematics Questions and Answer Key

The details of the questions and their answer key will be provided to you on the table below after the exam:

Questions	Correct Answer

Find the derivative of sin x with respect to log x	x cos x
What is the length of the latus rectum of the ellipse x ² + 3y ² = 12?
Describe the nature of the function f(x) = tan x - x	Always increasing since f'(x) = tan ² x, which is ≥ 0
Let R be the relation in the set N (natural numbers) given by R = {(a, b): a = b - 2, b > 6}. Which of the following is correct? (1) (2, 4) ∈ R (2) (3, 8) ∈ R (3) (6, 8) ∈ R (4) (8, 7) ∈ R	(6,8) ∈ R
The mean and standard deviation of 100 items are 50 and 4, respectively. Then the sum of the squares of the items is: (A) 251600 (B) 250000 (C) 261600 (D) 256000	251600
The corner points of the feasible region are (0, 10), (5, 5), (15, 15), (0, 20). Let z = px + qy where p, q > 0. The condition on p and q so that the maximum z occurs at both points (15, 15) and (0, 20) is: (1) p = q (2) p = 2q (3) q = 2p (4) q = 3p	q = 3p
If a line makes angles 90°, 60°, and θ with the x, y, and z axes respectively, where θ is acute, what is the value of θ?	π/6 or 30°
A function f(x) is given by f(x) = e ^x + ax for x < 0 and f(x) = b(x-1) ² for x ≥ 0 . If the function is differentiable at x = 0 , find a and b .	a = -3 , b = 1
A function f(x) is defined as 1/(e ^x - 1) for x ≠ 0 and 1/(e ^x + 1) for x = 0 . Is it continuous?	Not continuous at x = 0
In Linear Programming Problem (LPP), the objective function Z= ax + by has the same maximum value at two corner points. The number of points at which Z occurs is	Infinity
Probability of obtaining an even prime number on each die when a pair of dice is rolled is	1/36
The probability that a man and his wife live after 20 years is 1/4 and 1/3, respectively. The probability that neither the mat nor his wife lives for 20 years is	1/2
If a and b are two unit vectors and θ is the angle between them, then \|a + b\| = 1 if θ is:	2π/3 or 120°
The feasible region for an LPP is shown in a graph (bounded). If the objective function Z = 3x + 9y , find the maximum value of Z given vertices (0, 10), (5, 5), (15, 15).	180 (at point 15, 15)
	π/4
If A is a square matrix of order 3 and \|A\| = 5, then find the value of \|adj(A)\|.	25 (Using the formula \|adj(A)\| = \|A\| ^n-1 )
Find the principal value of cos ^-1 (cos(13π/6))	π/6
Two dice are thrown. What is the probability that the sum of the numbers appearing on the dice is 7, given that the two numbers are different?	1/5 (Total outcomes where numbers are different = 30; favorable sums of 7 = 6)
In a group of 65 people, 40 like cricket, 10 like both cricket and tennis. How many like tennis only and not cricket?	25
Find the degree of the differential equation: [1 + (dy/dx) ² ] ^3/2 = d ² y/dx ² .	2 (Squaring both sides removes the fractional power)
The number of terms in the expansion of (x + y + z) ¹⁰ is:	66 (Using formula (n+1)(n+2)/2)
	1/log 3
The solution of 3(x-1) < 2 (x-3) is	x < -3
10 distinct points are taken on a circle. Then using these points Statement 1: The number of triangles that can be formed is 100 Statement II: The number of chords that can be formed is 45 Which of the following is correct? (1) Both Statement I and Statement II are true (2) Both Statement 1 and Statement II are false (3) Statement I is true and Statement It is false (4) Statement I is false and Statement II is true	Statement I is false and Statement II is true
How many ways can you arrange all the letters and numbers in "KCET 2025" which start with K and end with 5?	720
A row matrix has only (1) One element (2) One row with one or more columns (3) One column with one or more rows (4) One row and one column	One row with one or more columns
The angle between the lines whose direction ratios are a, b, c and b-c, c-a, a-b is	90°
	15°, 75°
Which of the following is correct? (1) Determinant is a square matrix (2) Determinant is a number associated to a matrix (3) Determinant is a unique number associated to a square matrix (4) Determinant is not defined for a square matrix	Determinant is a unique number associated to a square matrix
Let X be a matrix of order 2 x n and 2 be a matrix of order 2 x p. If np, then the order of the matrix 8X-9Z is	2 x n

If A and B are invertible square matrices of order n, then which of the following is not correct? (1) det (AB)= det (A). det (B) (2) det (kA) = k det (A) (3) det (A + B) det (A) + det (B) (4) det (A-1) = 1/det (A-1)	det (A + B) det (A) + det (B)

Also Read: What to Expect for 80 Marks in KCET 2026?

How to Calculate Your Score Using the KCET 2026 Answer Key

Here's a quick and simple breakdown to help you estimate your Mathematics score the moment the answer key is out.

What to Expect in KCET 2026 Mathematics Post-exam?

Now that the exam is over, here's a quick overview of what you should expect from the Mathematics paper and its impact on your overall scores and ranks. While the average good attempt may be 42-48 questions, students who have managed to attempt 54 questions or more with high accuracy, are likely to secure a position among the top 1,000 rankholders.

Performance Level	Attempted (with Accuracy)	Expected Score	Impact on Rank
Top Tier	52 – 56 Questions	50+ Marks	Highly likely to secure a Rank < 1,000 (if combined with strong scores in 12th boards).
Competitive	42 – 48 Questions	40 – 45 Marks	Very strong attempt; remains highly competitive for top engineering branches.
Average	30 – 38 Questions	28 – 35 Marks	The "sweet spot" for many today. Expect this score to hold steady value due to the length of the paper.

Also Read: What to Expect for 100 Marks in KCET 2026?

KCET Physics Answer Key 2026	KCET Chemistry Answer Key 2026	KCET Biology Answer Key 2026

In case you do disagree with any answer in the official key, you can also make objections through KEA where you can provide objections along with supporting evidence as well. Monitor official announcements on the specific dates to stay updated on the release of final answer key and the KCET 2026 result. All the Best!

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I have scored 45% in my 12th grade. Am I eligible for B.Tech admission at LPU?

-AmritaUpdated on June 06, 2026 11:49 AM

53 Answers

Nikhil, Student / Alumni

If you have scored 45% in Class 12, your eligibility for B.Tech at Lovely Professional University depends on the specific eligibility criteria applicable to the program and admission year. In general, B.Tech programs require students to meet the minimum eligibility conditions in subjects like Physics, Mathematics, and English. So, it's important to check the latest criteria for your chosen B.Tech specialization. The best thing to do is check the current eligibility requirements for the B.Tech program you're interested in. If you meet the criteria, you can apply and also consider appearing for LPUNEST, which may help with admission opportunities and …