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.
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, theKCET 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 about45 questions from the 2nd PUC syllabusand15 from the 1st PUC syllabus. Key areas of focus includedCalculus,Algebra, and3D 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 ofsin xwith respect tolog x | x cos x |
| What is the length of the latus rectum of the ellipse x2+ 3y2= 12? | |
| Describe the nature of the functionf(x)=tan x - x | Always increasing sincef'(x)= tan2x, 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 functionf(x)is given byf(x) = ex+ axforx < 0andf(x) = b(x-1)2forx ≥ 0. If the function is differentiable atx = 0, findaandb. | a = -3,b = 1 |
| A functionf(x)is defined as1/(ex- 1)forx ≠ 0and1/(ex+ 1)forx = 0. Is it continuous? | Not continuous atx = 0 |
| In Linear Programming Problem (LPP), the objective functionZ= ax + byhas the same maximum value at two corner points. The number of points at whichZoccurs 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 |
| Ifaandbare 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 functionZ = 3x + 9y, find the maximum value ofZgiven 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= d2y/dx2. | 2 (Squaring both sides removes the fractional power) |
| The number of terms in the expansion of (x + y + z)10is: | 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?
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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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