For the exam conducted on April 18, KCET Mathematics Answer Key 2024 unofficial for all the questions sets can be checked below. The answer key is prepared by the subject experts.

KCET Maths Answer Key 2024 Unofficial

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.

IMPORTANT NOTE:
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
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:
X 0 1 2
P(X) 25/36 k 1/36
If the mean of thee random variable 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/√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 ( 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

KCET Marks vs Rank Analysis with 2nd PUC Weightage

Range Link to check expected rank
Overall KCET Expected Rank 2024 with 2nd PUC Marks Weightage
165 to 175 Expected Rank for 165 to 175 Marks in KCET 2024 with 2nd PUC Weightage
155 to 164 Expected Rank for 155 to 164 Marks in KCET 2024 with 2nd PUC Marks Weightage
145 to 154 Expected Rank for 145 to 154 Marks in KCET 2024 with 2nd PUC Marks Weightage
135 to 144 Expected Rank for 135 to 144 Marks in KCET 2024 with 2nd PUC Marks Weightage
125 to 134 Expected Rank for 125 to 134 Matks in KCET 2024 with 2nd PUC Marks Weightage
115 to 124 Expected Rank for 115 to 124 Marks in KCET 2024 with 2nd PUC Marks Weightage
105 to 114 Expected Rank for 105 to 114 Marks in KCET 2024 with 2nd PUC Marks Weightage
95 to 104 Expected Rank for 95 to 104 Marks in KCET 2024 with 2nd PUC Marks Weightage
85 to 94 Expected Rank for 85 to 94 Marks in KCET 2024 with 2nd PUC Marks Weightage
75 to 84 Expected Rank for 75 to 84 Marks in KCET 2024 with 2nd PUC Marks Weightage
65 to 74 Expected Rank for 65 to 74 Marks in KCET 2024 with 2nd PUC Marks Weightage
55 to 64 Expected Rank for 55 to 64 Marks in KCET 2024 with 2nd PUC Marks Weightage
45 to 54 Expected Rank for 45 to 54 Marks in KCET 2024 with 2nd PUC Marks Weightage
35 to 44 Expected Rank for 35 to 44 Marks in KCET 2024 with 2nd PUC Marks Weightage

KCET Course-Wise Expected Cutoff 2024

Name of the Course Cutoff Link
B.Sc Agriculture Expected KCET Agriculture Cutoff 2024
Pharmacy Previous Year's KCET Pharmacy Cutoff
B.Tech Expected KCET B.Tech Cutoff 2024

KCET Subject-Wise Answer Key and Analysis 2024

KCET Biology Answer Key 2024 KCET Biology Question Paper Analysis 2024
KCET Physics Answer Key 2024 KCET Physics Question Paper Analysis 2024
KCET Chemistry Answer Key 2024 KCET Chemistry Question Paper Analysis 2024
Upcoming Events of KCET 2024

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