, By O.P. GUPTA
TEST - 02
Topics : Determinants Max. Marks : 50
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Select the correct option in the followings. Each question carries 1 mark.
0 2023 2022
Q01.
For the matrix A 2023 0 2024 , the value of Det.(A) is given by
2022 2024 0
(a) 0 (b) 2023 (c) 1 (d) 1
Q02. Let A be a square matrix of order 3 such that its det. value is ‘–2’. Then 3A
(a) 54 (b) 54 (c) 6 (d) 6
Q03. Let A a ij such that A.(adj.A) 5 I . Then adj.(2A)
33
(a) 16 (b) 25 (c) 1600 (d) 50
1 3
Q04. The cofactor of element 3 in is
6 0
(a) 6 (b) 1 (c) 1 (d) 6
x sin cos
Q05. Let sin x 1 k x m . Then m k equals
cos 1 x
(a) 1 (b) 3 (c) 2 (d) 4
1 3 1
Q06. If 1 9 3 0 gives an equation of line x y , then
1 x y
(a) 0 (b) –3 (c) 1 (d) 3
Q07. If A and B are matrices of order 3 3 such that A 5, B 2, then the value of 2AB is
(a) 10 (b) 80 (c) 20 (d) 40
4 3
Q08. Let A . Then inverse of matrix A is
1 0
1 0 3 1 4 1 0 3 4 1
(a) (b) (c) (d)
3 1 4 3 3 0 1 4
3 0
MATHEMATICIA By O.P. GUPTA : A New Approach in Mathematics 1
TEST - 02
Topics : Determinants Max. Marks : 50
----------------------------------------------------------------------------------------------------------------------------
Select the correct option in the followings. Each question carries 1 mark.
0 2023 2022
Q01.
For the matrix A 2023 0 2024 , the value of Det.(A) is given by
2022 2024 0
(a) 0 (b) 2023 (c) 1 (d) 1
Q02. Let A be a square matrix of order 3 such that its det. value is ‘–2’. Then 3A
(a) 54 (b) 54 (c) 6 (d) 6
Q03. Let A a ij such that A.(adj.A) 5 I . Then adj.(2A)
33
(a) 16 (b) 25 (c) 1600 (d) 50
1 3
Q04. The cofactor of element 3 in is
6 0
(a) 6 (b) 1 (c) 1 (d) 6
x sin cos
Q05. Let sin x 1 k x m . Then m k equals
cos 1 x
(a) 1 (b) 3 (c) 2 (d) 4
1 3 1
Q06. If 1 9 3 0 gives an equation of line x y , then
1 x y
(a) 0 (b) –3 (c) 1 (d) 3
Q07. If A and B are matrices of order 3 3 such that A 5, B 2, then the value of 2AB is
(a) 10 (b) 80 (c) 20 (d) 40
4 3
Q08. Let A . Then inverse of matrix A is
1 0
1 0 3 1 4 1 0 3 4 1
(a) (b) (c) (d)
3 1 4 3 3 0 1 4
3 0
MATHEMATICIA By O.P. GUPTA : A New Approach in Mathematics 1
