neither divisible by y but not χ

α/β is one of the cube roots of unity

α is one of the cube roots of unity

β is one of the cube roots of unity

JEE Questions for Maths Matrices And Determinants Quiz 4

Maths-Matrices and Determinants-38502.png

0%
- 2
0%
- 1
0%
1
0%
2

Maths-Matrices and Determinants-38504.png

0%
0%
2)
0%
0%
None of these

Maths-Matrices and Determinants-38509.png

0%
49χ
0%
- 49χ
0%
0
0%
1

Maths-Matrices and Determinants-38511.png

0%
2(χ + y + z)2
0%
2(χ + y + z)3
0%
(χ + y + z)3
0%
0

Maths-Matrices and Determinants-38513.png

0%
1
0%
- 2
0%
- 1
0%
0

Maths-Matrices and Determinants-38515.png

0%
1 , 3 , 6
0%
1 , 2 , 4
0%
4 , 5 , 6
0%
2 , 4 , 6

If A is a square matrix of order 4 and I is a unit matrix, then it is true that

0%
det (2A) = 2 det (A)
0%
det (2A) = 16 det (A)
0%
det (-A) = - det (A)
0%
det (A+ I) = det (A) + I

Maths-Matrices and Determinants-38518.png

0%
χ
0%
0
0%
2χ
0%
3χ

Maths-Matrices and Determinants-38520.png

0%
neither divisible by χ and y
0%
divisible by both χ and y
0%
divisible by χ but not y
0%
neither divisible by y but not χ

Maths-Matrices and Determinants-38522.png

0%
sin 4θ/ sin θ
0%
2sin2 2θ/sin θ
0%
4 cos2θ(2cos θ - 1)
0%
None of these

Maths-Matrices and Determinants-38524.png

0%
2
0%
3
0%
0
0%
1

Maths-Matrices and Determinants-38525.png

0%
χ(χ - p)(χ - q)
0%
(χ - p) (χ - q) (χ + p + q)
0%
(p - q) (χ - q) (χ - p)
0%
pq(χ - p) (χ - q)

Maths-Matrices and Determinants-38527.png

0%
α/β is one of the cube roots of unity
0%
α is one of the cube roots of unity
0%
β is one of the cube roots of unity
0%
None of the above

Maths-Matrices and Determinants-38529.png

0%
9
0%
- 9
0%
0
0%
- 1
0%
1

Maths-Matrices and Determinants-38531.png

0%
6ab
0%
ab
0%
12ab
0%
2ab

Maths-Matrices and Determinants-38533.png

0%
- 8
0%
8
0%
10
0%
None of these

Maths-Matrices and Determinants-38535.png

0%
0
0%
1
0%
0%
None of these

Maths-Matrices and Determinants-38538.png

0%
positive
0%
negative
0%
zero
0%
None of these

Maths-Matrices and Determinants-38540.png

0%
0%
2)
0%
0%

Maths-Matrices and Determinants-38546.png

0%
1
0%
2
0%
3
0%
4

Maths-Matrices and Determinants-38548.png

0%
3 , - 1
0%
- 3 , 1
0%
3 , 1
0%
- 3 , - 1

Maths-Matrices and Determinants-38550.png

0%
6
0%
5
0%
4
0%
1
0%
2

Maths-Matrices and Determinants-38552.png

0%
5(√6 - 5)
0%
√3(√6 - 5)
0%
√5(√6 - √3)
0%
√2(√7 - √5)
0%
3(√5 - √2)

Maths-Matrices and Determinants-38554.png

0%
1
0%
sin a cos a
0%
0
0%
sinχ cosχ
0%
cosec 2χ

Maths-Matrices and Determinants-38556.png

0%
441 × 446 × 451023
0%
0
0%
- 1
0%
1

Maths-Matrices and Determinants-38558.png

0%
χ = 3, y = 1
0%
χ = 1, y = 3
0%
χ = 0, y = 3
0%
χ = 0, y = 0

Maths-Matrices and Determinants-38560.png

0%
3
0%
2
0%
1
0%
0

Maths-Matrices and Determinants-38562.png

0%
- 1
0%
1
0%
0
0%
ω

Maths-Matrices and Determinants-38564.png

0%
1! 2! 3!`
0%
1! 3! 5!
0%
6!
0%
9!

If a square matrix A such that AA^T = I = A^T A, then |A| is equal to

0%
0
0%
± 1
0%
± 2
0%
None of these

Maths-Matrices and Determinants-38567.png

0%
2
0%
- 2
0%
- 1
0%
1

Maths-Matrices and Determinants-38569.png

0%
2
0%
4
0%
0
0%
1

Maths-Matrices and Determinants-38571.png

0%
(30)n
0%
(10)n
0%
0
0%
2n + 3n + 5n

Maths-Matrices and Determinants-38573.png

0%
80
0%
100
0%
- 110
0%
92

Maths-Matrices and Determinants-38575.png

0%
0%
2)
0%
0%
0%

Maths-Matrices and Determinants-38582.png

0%
0%
2)
0%
0%
0%

If the determinant of a 3 × 3 matrix A be 6, then B is a matrix defined by B = 5A². The determinant of B is

0%
180
0%
100
0%
80
0%
None of these

Maths-Matrices and Determinants-38590.png

0%
0
0%
1
0%
i
0%
ω

Maths-Matrices and Determinants-38592.png

0%
4/9
0%
9/4
0%
3√3
0%
1

Maths-Matrices and Determinants-38594.png

0%
χ
0%
χ3
0%
14 + χ2
0%
χ5

Maths-Matrices and Determinants-38596.png

0%
0%
2)
0%
0%
None of these

For 3 × 3 matrices M and N, which of the following statement (s) is (are) not correct ?

0%
NT MN is symmetric or skew - symmetric, according as M is symmetric or skew-symmetric
0%
MN - NM is symmetric for all symmetric matrices M and N
0%
MN is symmetric for all symmetric matrices M and N
0%
(adj M) (adj N) = adj (MN) for all invertible matrices M and N

Maths-Matrices and Determinants-38602.png

0%
4
0%
11
0%
5
0%
0

Maths-Matrices and Determinants-38604.png

0%
- 2
0%
- 1
0%
1
0%
3

Maths-Matrices and Determinants-38606.png

0%
0%
2)
0%
0%
does not exist

If A is 2 × 2 matrix. Then,
Statement I adj(adj A) = A
Statement II |adj A| = A

0%
Statement I is correct, Statement II is correct; Statement II is correct explanation for statement I.
0%
Statement I is correct, Statement II is correct; Statement II is not a correct explanation for Statement I
0%
Statement I is correct, Statement II is incorrect
0%
Statement I is incorrect, Statement II is correct

Maths-Matrices and Determinants-38612.png

0%
λ ≠ -17
0%
λ ≠ -18
0%
λ ≠ -19
0%
λ ≠ -20

If A and B are square matrices of the same order such that (A + B) (A - B) = A² - B², then (ABA^-1)² is equal to

0%
B2
0%
I
0%
A2 B2
0%
A2

Maths-Matrices and Determinants-38615.png

0%
0
0%
9
0%
1/9
0%
81

If B is a non-singular matrix and A is a square matrix such that B^-1 AB exists, then |B^-1 AB| is equal to

0%
|A-1 |
0%
|B-1 |
0%
|B|
0%
|A|
0%
|AB-1 |

JEE Questions for Maths Matrices And Determinants Quiz 4 - MCQExams.com

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Practice Maths Quiz Questions and Answers

JEE Questions for Maths Matrices And Determinants Quiz 4 - MCQExams.com

0:0:1

Practice Maths Quiz Questions and Answers

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