KCET SERIES
Mathematics

Determinants

23 previous year questions.

Volume: 23 Ques
Yield: High

High-Yield Trend

2
2022
2
2021
1
2020
1
2019
1
2017
1
2016
3
2015
3
2014
1
2013
1
2012
1
2010
2
2009
2
2007
1
2006
1
2005

Chapter Questions
23 MCQs

01
PYQ 2005
medium
mathematics ID: kcet-200
If and = then is equal to
1
80
2
100
3
-110
4
92
02
PYQ 2006
medium
mathematics ID: kcet-200
The value of = is equal to :
1
2
3
4
03
PYQ 2007
medium
mathematics ID: kcet-200
If and is the inverse of , then the value of is
1
0
2
2
3
4
4
5
04
PYQ 2007
medium
mathematics ID: kcet-200
If ,then is equal to
1
2
3
4
05
PYQ 2009
medium
mathematics ID: kcet-200
If | adj A|\) =
1
81
2
0
3
9
4
44570
06
PYQ 2009
medium
mathematics ID: kcet-200
If $\begin{vmatrix} {1+\sin^2}&{\cos^2 \theta } &{4\sin 2\theta}\\ {\sin^2}&{1+\cos^2}& {4\sin2\theta} \\ {\sin^2\theta}&{\cos^2\theta}&{4\sin2\theta-1}\\ \end{vmatrix} =0 0< \theta
1
2
3
4
07
PYQ 2010
medium
mathematics ID: kcet-201
If is a nonsingular matrix and if , then = _______
1
2
3
4
08
PYQ 2012
medium
mathematics ID: kcet-201
The characteristic equation of a matrix is then is equal to
1
2
3
4
09
PYQ 2013
easy
mathematics ID: kcet-201
If the determinant of the adjoint of a (real) matrix of order is , then the determinant of the inverse of the matrix is
1
2
5
3
4
10
PYQ 2014
easy
mathematics ID: kcet-201
If is a matrix of order , such that , then =
1
2
3
4
11
PYQ 2014
easy
mathematics ID: kcet-201
The inverse of the matrix is
1
2
3
4
12
PYQ 2014
medium
mathematics ID: kcet-201
If and are in A.P., then the value of is
1
2
3
4
13
PYQ 2015
easy
mathematics ID: kcet-201
Evaluate
1
1
2
0
3
2
4
3
14
PYQ 2015
medium
mathematics ID: kcet-201

If then is equal to

1
2
3
4
15
PYQ 2015
medium
mathematics ID: kcet-201
If , then the area of the triangle whose vertices are is
1
2
3
4
16
PYQ 2016
medium
mathematics ID: kcet-201
If are not equal and 0, 1 the value of is equal to
1
2
3
4
17
PYQ 2017
medium
mathematics ID: kcet-201
If is a square matrix of order , then is equal to
1
2
3
4
18
PYQ 2019
medium
mathematics ID: kcet-201
If the value of a third order determinant is , then the value of the determinant formed by replacing each of its elements by its cofactor is
1
256
2
96
3
16
4
48
19
PYQ 2020
medium
mathematics ID: kcet-202
If A is a square matrix of order 3 and |A| = 5, then |A adj.A| is
1
5
2
125
3
25
4
625
20
PYQ 2021
medium
mathematics ID: kcet-202
If x3 - 2x2 - 9x + 18 = 0 and A = then the maximum value of A is
1
96
2
36
3
24
4
120
21
PYQ 2021
medium
mathematics ID: kcet-202
If A and B are matrices of order 3 and |A| = 5, |B| = 3 then |3AB| is
1
425
2
405
3
565
4
585
22
PYQ 2022
medium
mathematics ID: kcet-202
If there are two values of ‘a’ which makes determinant

Then the sum of these numbers
1
-4
2
4
3
9
4
5
23
PYQ 2022
hard
mathematics ID: kcet-202
If An = then | A1 | + | A2 | + ….. + | A2021 | =
1
-2021
2
(2021)2
3
-(2021)2
4
4042