# Matrices and Determinants

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Matrices and Determinants - Topic Wise Multiple Choice Questions (MCQ)

Topic Wise Matrices and Determinants MCQ for competitive exam Practice Multiple Choice Questions for Engg Bank JEE CET Entrance Online Test

1 )

If the system of equations x + ky + 3z = 0, 3x + ky – 2z = 0, 2x + 3y – 4z = 0 has non-trivial solution, then (xy / z2) = ….

– (5/6)
(6/5)
– (6/5)
(5/6)

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2 )

 n nPn nCn n + 1 n+1Pn+1 n+1Cn+1 = ….. n + 2 n+2Pn+2 n+2Cn+2

(n2 + n + 1)n!
n(n + 1)!
(n + 1)n!
(n + 2)n!

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3 )

Let a, b, c be such that b(a + c) ≠ 0. If

 a a + 1 a – 1 a + 1 b + 1 c – 1 – b b + 1 b – 1 + a – 1 b – 1 c + 1 = 0, c c – 1 c + 1 (– 1)n+2 a (– 1)n+1 b (– 1)nc

then n is

zero
any even integer
any odd integer
any integer

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4 )

 sin(x + p) sin(x + q) sin(x + r) sin(y + p) sin(y + q) sin(y + r) = … sin(z + p) sin(z + q) sin(z + r)

sin(x + y + z)
sin(p + q + r)
0
1

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5 )

 3x – 8 3 3 3 3x – 8 3 = 0, then x = ….. 3 3 3x – 8

(3/2), (3 / 11)
(3/2), (11 / 3)
(2/3), (11 / 3)
(2/3), (3 / 11)

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