KCET Mathematics Answer Key 2024 (Unofficial): The Karnataka Examinations Authority (KEA) has conducted KCET 2024 Mathematics examination today, April 18, 2024, from 2:30 PM to 3:50 PM. Candidates who appeared for the paper can check KCET Mathematics's unofficial answer key 2024 here. Students can refer to the answer key to determine their expected score in the exam. Also, candidates can scroll to the bottom to check detailed KCET 2024 marks vs rank analysis for different makers ranges. Candidate must note that KCET Maths Answer Key 2024 added below is the unofficial key prepared with the help of subject matter experts. The official answer key will be released likely by the last week of April.
Also Read | Provisional KCET Answer Key 2024 Released: Download PDF
IMPORTANT NOTE: |
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In all KCET paper sets, all questions are the same, only their order is shuffled . Hence, direct questions and their answers are provided here instead of the question number and answer number for each separate set. Students of all question paper sets can go through the following answer key to crosscheck their answers. |
KCET Mathematics Answer Key 2024 Unofficial (All Sets)
Below candidates can check KCET 2024 Mathematics answer key unofficial prepared with the help of subject matter experts. The answer key will be added after the completion of the exam. A comprehensive analysis of the paper is also provided here: KCET Mathematics Question Paper Analysis 2024 .
Sr. No. | Question | KCET 2024 Maths Answer Key | ||||||||
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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 segment joining the points (0, 2) and (3, 0) | ||||||||
2 | A the 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:
| 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/√29 | ||||||||
8 | The sine of the angle between the straight line (x - 2)/3 = (y - 3)/4 = (4 - z)/-5 and the plane 2x - 2y + z = 5 is | 1/5√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 [ x ] ^{ 2 } - 5 [ x ] + 6 = 0, where [ x ] denotes the greatest integer function, then | x ∈ [2, 3] | ||||||||
13 | 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 | ||||||||
14 | If Δ ABC is right-angled at C, then the value of tan A + tan B is | c ^{ 2 } /ab | ||||||||
15 | The real value of 'α' for which [ (1 - i sinα) / (1 + 2i sinα) ] is purely real is | nπ, n ∈ N | ||||||||
16 | The length of a rectangle is five times the breadth. If the minimum perimeter of the rectangle is 180 cm, then | Breadth ≥ 15 cm | ||||||||
17 | The value of ^{ 49 } C _{ 3 } + ^{ 48 } C _{ 3 } + ^{ 47 } C _{ 3 } + ^{ 45 } C _{ 3 } + ^{ 45 } C _{ 4 } is | ^{ 50 } C _{ 4 } | ||||||||
18 |
In the expansion (1 + x)
^{
n
} C _{ 1 } /C _{ 0 } + 2C _{ 2 } /C _{ 1 } + 3C _{ 3 } /C _{ 2 } + ... + nC _{ n } /C _{ n-1 } is equal to | n(n + 1)/2 | ||||||||
19 | If S _{ n } stands for sum to n-terms of a G.P. with 4 'a' as the first term and 'r' as the common ratio then S _{ n } / S _{ 2n } is | 1/(r ^{ n } + 1) | ||||||||
20 | If A.M. and G.M. of roots of a quadratic equation are 5 and 4 respectively, then the quadratic equation is | x ^{ 2 } - 10x + 16 = 0 | ||||||||
21 | The angle between the line x + y = 3 and the line joining the points (1, 1) and (-3, 4) is | tan ^{ -1 } (1/7) | ||||||||
22 | The equation of parabola whose focus is (6,0) and directrix is x = - 6 is | y ^{ 2 } = 24x | ||||||||
23 | lim (x → π/4) [ (√2 cosx - 1) / (cotx - 1) ] is equal to | 1/2 | ||||||||
24 |
The negation of the statement
"For every real number x; x ^{ 2 } + 5 is positive" is | There exists at least one real number x such that x ^{ 2 } + 5 is not positive. | ||||||||
25 | Let a, b, c, d and e be the observations with mean m and standard deviation S. The standard deviation of the observations a + k b - k r + k d + k and e + k is | S | ||||||||
26 | Let f : R → R be given by f(x) = tan x. Then f ^{ -1 } (1) is | {nπ + π/4; n ∈ Z} | ||||||||
27 | Let f : R → R be defined by f(x) = x ^{ 2 } + 1 Then the pre-images of 17 and -3 respectively are | {4, -4}, Φ | ||||||||
28 | Let (gof) (x) = sin x and (fog) (x) = (sin√x) ^{ 2 } . Then | f(x) = sin ^{ 2 } x, g(x) = √x | ||||||||
29 | 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 | ||||||||
30 | If cos ^{ -1 } x + cos ^{ -1 } y + cos ^{ -1 } z = 3, then x (y + z) + y (z + x) + z (x + y) equals to | 6 | ||||||||
31 | If 2sin ^{ -1 } x - 3cos ^{ -1 } x = 4, x ∈ [-1,1] then 2sin ^{ -1 } x + 3cos ^{ -1 } x is equal to | (6π - 4)/5 | ||||||||
32 | If A is a square matrix such that A ^{ 2 } = A, then (I + A) ^{ 3 } is equal to | 7A + I | ||||||||
33 | If A = ( ( 1 1 ), ( 1 1 ) ), then A ^{ 10 } is equal to | 2 ^{ 9 } A | ||||||||
34 | If f(x) = | ( x - 3 2x ^{ 2 } - 18 2x ^{ 3 } - 81), (x - 5 2x ^{ 2 } - 50 4x ^{ 3 } - 500), (1 2 3) |, then f(1) ^{ . } f(3) + f(3) ^{ . } f(5) + f(5) ^{ . } f(1) is | 0 | ||||||||
35 | If P = [ ( 1 α 3 ), ( 1 3 3 ), ( 2 4 4 ) ] is the adjoint of a 3 x 3 matrix A and | A | = 4, then α is equal to | 11 | ||||||||
36 | If A = | ( x 1 ), ( 1 x ) | and B = | ( x 1 1 ), ( 1 x 1 ), ( 1 1 x ) |, then dB/dx is | 3A | ||||||||
37 | Let f(x) = | ( cosx x 1 ), ( 2sinx x 2x ), ( sinx x x ) |. Then lim (x → 0) f(x)/x ^{ 2 } = | -1 | ||||||||
38 | Which one of the following observations is correct for the features of the logarithm function to any base b > 1 ? | The point (1, 0) is always on the graph of the logarithm function. | ||||||||
39 | The function f(x) = |cos x| is | everywhere continuous but not differentiable at odd multiples of π/2 | ||||||||
40 | If y = 2x ^{ 3x } , then dy/dx at x = 1 is | 6 | ||||||||
41 | Let the function satisfy the equation f(x + y) = f(x) f(y) for all x, y ∈ R where f(0) ≠ 0. If f(5) = 3 and f'(0) = 2 then f'(5) is | 6 | ||||||||
42 | The value of C in (0; 2) satisfying the mean value theorem for the function f(x) = x (x - 1) ^{ 2 } , x ∈ [0, 2] is equal to | 4/3 | ||||||||
43 | d/dx [ cos ^{ 2 } (cot ^{ -1 } ((2 + x)/(2 - x)) ^{ 1/2 } ) ] is | 1/2 | ||||||||
44 | For the function f(x) = x ^{ 3 } - 6x ^{ 2 } + 12x - 3; x = 2 is | not a critical point | ||||||||
45 | The function x ^{ x } ; x > 0 is strictly increasing at | x > 1/e | ||||||||
46 | The maximum volume of the right circular cone with slant height 6 units is | 16√3 | ||||||||
47 | If f(x) = x e ^{ x(1 - x) } then f(x) is | increasing on [-1/2, 1] | ||||||||
48 | ∫ [ sinx / (3 + 4cos ^{ 2 } x ] dx = ? | -1/2√3 [ tan ^{ -1 } (2cosx/√3) + C | ||||||||
49 | _{ -π } ∫ ^{ π } ( 1 - x ^{ 2 } ) sinx cos ^{ 2 } x dx = ? | 0 | ||||||||
50 | ∫ { 1 / (x [6 (log x) ^{ 2 } + 7 log x + 2 ] } dx = ? | log | (2 log x + 1) / (3 log x + 2 ) | + C | ||||||||
51 | ∫ [ sin(5x/2) / sin(x/2) ] dx = ? | x + 2 sin x + sin 2x + C | ||||||||
52 | _{ 1 } ∫ ^{ 5 } ( | x - 3 | + | 1 - x | ) dx = ? | 12 | ||||||||
53 | lim (x → ∞) [ ( n ^{ 2 } / (n ^{ 2 } + 1 ^{ 2 } )) + ( n ^{ 2 } / (n ^{ 2 } + 2 ^{ 2 } )) + ( n ^{ 2 } / (n ^{ 2 } + 3 ^{ 2 } )) + ... + ( 1 / 5n) ] = | tan ^{ -1 } 2 | ||||||||
54 | The area of the region bounded by the line y = 3x and the curve y = x ^{ 2 } in sq. units is | 9/2 | ||||||||
55 | The area of the region bounded by the line y = x and the curve v = x ^{ 3 } is | 0.5 sq. units. | ||||||||
56 | The solution of e ^{ dy/dx } = x + 1, y(0) = 3 is | y + x - 3 = (x +1) log (x + 1) | ||||||||
57 | The family of curves whose x and y intercepts of a tangent at any point are respectively double the x and y coordinates of that point is | xy = C | ||||||||
58 | The vectors AB = 3 i + 4 k and AC = 5 i - 2 j + 4 k are the sides of a triangle ABC. The length of the median through A is | √18 | ||||||||
59 | The volume of the parallelopiped whose co-terminous edges are j + k, i + k, and i + j is | 2 cu.units | ||||||||
60 | Let a and b be two unit vectors and θ is the angle between them. Then a + b is a unit vector if | 2π/3 |
PDF -
KCET Mathematics Answer Key 2024 by DR Academy
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