The candidates who appeared for the KCET 2024 Mathematics exam on the 18th of April 2024, can check the examination key below table in a PDF format. This is an expected Answer Key given by the subject experts.
So it is important to note that candidates should consider this key for reference purposes, the official answer key is yet to be published by the KEA.
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KCET 2024 Mathematics Answers with Questions (Unofficial)
| Q. No | Question | Answer |
| 1. | Corner points of the feasible region for an LPP are (0, 2), (3, 0), (6, 0), (6, 8) and (0.5). Let x = 4x + 6y be the objective function. The minimum value of z occurs at | Any point on the line segmentjoining the points (0, 2) and (3,0) |
| 2. | A is thrown 10 times. The probability that an odd number will come up at least once is | 1023/1024 |
| 3. | A random variable X has the following probability distribution: X012P(X)25/36k1/36If the mean of three random variables X is 1/3 then the variance is | 5/18 |
| 4. | If a random variable X follows the binomial distribution with parameters n = 5, p and P(X = 2) = 9P(X = 3) then p is equal to | 1/10 |
| 5. | If a, b, c are three non-coplanar vectors and p, q, r are vectors defined by p = ( b × c ) / [ a b c ], q = ( c × a ) / [ a b c ], r = ( a × b ) / [ a b c ], then, ( a + b ) . p + ( b + c ) . q + ( c + a ) . r is | 3 |
| 6. | If lines (x – 1)/-3 = (y – 2)/2k = (z – 3)/2 and (x – 1)/3k = (y – 5)/1 = (z – 6)/-5 are mutually perpendicular, then k is equal to | -10/7 |
| 7. | The distance between the two planes 2x + 3y + 4z = 4 and 4x + 6y + z = 12 is | 2/ |
| 9. | The equation xy = 0 in three-dimensional space represents | a pair of planes at right angles |
| 10. | The plane containing the point (3, 2, 0) and the line (x – 3)/1 = (y – 6)/5 = (z – 4)/4 is | x-y+z=1 |
| 11. | Two finite sets have m and n elements respectively. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. The values of m and n respectively are | 6, 3 |
| 12. | If in two circles, arcs of the same length subtend angles 30° and 78° at the centre, then the ratio of their radii is | 13/5 |
| 13. | If Δ ABC is right-angled at C, then the value of tan A + tan B is | C2 /ab |
| 14. | The length of a rectangle is five times the breadth. If the minimum perimeter of the rectangle is 180 cm, then | x-y+z=1 |
| 15. | The value of 49C3 + 48C3 + 47C3 + 45C3 + 45C4 is | 50c4 |
| 16. | In the expansion (1 + x)n C1 /C0 + 2C2/C1 + 3C3 /C2 + … + nCn /Cn-1 is equal to | n(n+1)/2 |
| 17. | If Sn stands for the sum to n-terms of a G.P. with 4 ‘a’ as the first term and ‘r’ as the common ratio then Sn / S2n is | 1/(rn+1) |
| 18. | If A.M. and G.M. of roots of a quadratic equation are 5 and 4 respectively, then the quadratic equation is | x2-10x+16 |
| 19. | The angle between the line x + y = 3 and the line joining the points (1, 1) and (-3, 4) is | Tan-1(1/7) |
| 20. | The equation of parabola whose focus is (6,0) and directrix is x = – 6 is | y2=24x |
| 21. | lim (x → Ï€/4) [ (√2 cosx – 1) / (cotx – 1) ] is equal to | 1/2 |
| 22. | The negation of the statement “For every real number x; x2 + 5 is positive” is | ‘There exists at least one realnumber x such that x2 + 5 isnot positive. |
| 23. | Let (gof) (x) = sin x and (fog) (x) = (sin√x)2 . Then | f{x}=sin2x, g{x}= square root x |
| 24. | Let A= {2, 3, 4, 5 ,………….16, 17, 18}. Let R be the relation on the set A of ordered pairs of positive integers defined by (a, b) R (c, d) if and only if ad = bc for all (a, b) (c, d) in A × A. Then the number of ordered pairs of the equivalence class of (3, 2) is | 6 |
| 25. | If cos-1 x + cos-1 y + cos-1 z = 3, then x (y + z) + y (z + x) + z (x + y) equals to | 6 |
| 26. | If A is a square matrix such that A2 = A, then (I + A)3 is equal to | 7A + I |
| 27. | If A = ( (1 1), (1 1) ), then A10 is equal to | 29A |
| 28. | If f(x) = | ( x – 3 2x2 – 18 2x3 – 81), (x – 5 2x2 – 50 4x3 – 500), (1 2 3) |, then f(1) . f(3) + f(3) . f(5) + f(5) . f(1) is | 0 |
| 29. | The volume of the parallelopiped whose co-terminous edges are j + k.i + k and i + jis | 2 cubic units |
| 30. | ‘There exists at least one realnumber x such that x + 5 isnot positive. | Xy = C |
| 31. | The area of the region bounded by the line y = x and the curve v = x3 is | 0.5 square units |
| 32. | The solution of edy/dx = x +1, y(0) = 3 is | y+x-3=(x+1)log (x + 1) |
| 33. | The area of the region bounded by the line y = 3x and the curve y = x2 in sq. units is | 9/2 |
| 34. | The function xx; x > 0 is strictly increasing at | x>1/e |
| 35. | For the function f(x) = x3 – 6x2 + 12x – 3: x = 2s | Not a critical point |
| 36. | d/dx [ cos2 (cot-1((2 + X)/(2 – x))½)] is. | 1/2 |
| 37. | Which one of the following observations is correct for the features of the logarithm function toAny base b > 1? | The point (1, 0) is always onthe graph of the logarithmfunction. |
Candidates can also download the complete answer key PDF using the links below:
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Frequently Asked Questions
1. When is the KCET 2024 Answer Key Release Date?
The expected date for the release of the KCET 2024 answer key would be the last week of May or the first week of June 2024.
2. What is the last date for raising objections to the KCET 2024 Answer Key?
The dates regarding the objections for the KCET 2023 Answer Key will be released by the KCET examination authorities through the official website.
