Math Chapter Wise

EnglishDSSSB PGT 2021

Q61.For what value of λ, the system of equation 3x + 2y + z = 10, x + 2y + λz = 10, 2x+3y+2z = 10 is inconsistent?

A1.3 B1.5 C1.4 D1.6

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EnglishDSSSB PGT 2021

Q62.The skew symmetric determinant of odd order is

A–1 B0 C1 DSquare of a polynomial function of its elements

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EnglishDSSSB PGT 2021

Q63.Rank of singular matrix of order 5 can be at most

A5 B2 C3 D4

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EnglishDSSSB PGT 2021

Q64.If A and B are orthogonal matrices then A O O B is:

Asymmetric BSingular CSkew-symmetric DOrthogonal

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EnglishDSE TGT 2019

Q65.The diagonal elements of a Skew-Hermitian matrix are

Areal numbers or zero Bimaginary numbers or zero Creal numbers Dzero only

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EnglishOAVS TGT 2021

Q66.If 2a 7 X a 6 and 1 0.6 0.7 X, 0.2 0.4 then a is:

A0 B3 C–1 D2

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EnglishOAVS TGT 2021

Q67.Match the columns. 1. x + 2y = 4 2x + 4y = 12 a. Unique solution 2. x – 2y = 0 3x + 4y = 20 b. Infinitely many solutions 3. 5x + 2y = 10 10x + 4y = 20 c. No solution

A1 - a, 2 - b, 3 - c B1 - c, 2 - a, 3 - b C1 - a, 2 - c, 3 - b D1 - c, 2 - b, 3 - a

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EnglishOAVS TGT 2021

Q68.11 12 13 11 12 13 21 22 23 21 22 23 31 32 33 b b b a a a A b b b, a a a b b b then order of matrix A is

A3 × 3 B2 × 2 C3 × 2 D2 × 3

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EnglishOAVS TGT 2021

Q69.The value of n n n n;n 2 0 1 n 1 n is

A2n + 2 B2n – 2 C2n + 1 D2n

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EnglishOAVS TGT 2021

Q70.For which value of p, the system of equations x + py – 4 = 0 and 2x + 4y – 12 = 0 has no solution?

A1 B2 C3 D0

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EnglishOAVS TGT 2021

Q71.Let A be 3 × 3 matrix satisfying 0 2 1 2 A 1 3,A 1 1 and 0 7 0 2 1 5 A 1 9, 1 2 then the sum of the diagonal entries of A is:

A12 B6 C15 D9

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EnglishOAVS TGT 2019

Q72.If 3x + 2y + z = 0, x + 4y + z = 0, 2x + y + 4z = 0, be a system of equations then:

ASystem is inconsistent BDeterminant of the coefficient matrix is zero CIt can be reduced to a single equation then solution does not exist DIt has only trivial solution

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EnglishOAVS TGT 2019

Q73.The square matrix A is called orthogonal if:

AA' = A–1 BA = A2 CAA–1 = I DA = A–1

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EnglishOAVS TGT 2019

Q74.The product of the eigen values of the matrix is: 1 0 0 A = 0 3 –1 0 –1 3

A3 B1 C–1 D8

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EnglishOAVS TGT 2019

Q75.If λ is an eigen value of a non-singular matrix A then the eigen value of A–1 is:

Aλ B–1/ λ C– λ D1/ λ

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EnglishUP PGT 2021

Q76.If A is a singular matrix, then A. adj(A) is–

Aan identity matrix Ba null matrix Ca scalar matrix Dnone of the above

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EnglishUP PGT 2021, 2010

Q77.If a, b, c are in arithmetic progression then the value of x 1 x 2 x a x 2 x 3 x b x 3 x 4 x c + + + + + + + + + is –

A0 B1 C2 Da b c

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EnglishUP PGT 2021

Q78.If () cos x sin x 0 A f x sin x cos x 0 0 0 1 = − then A–1 is–

Af (x) B–f (x) Cf (–x) D–f (–x)

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EnglishUP PGT 2021

Q79.If each element of a 3×3 matrix A is multiplied by 3 then the determinant of the newly formed matrix is –

A3 A B9 A C() 3 A D27 A

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EnglishUP PGT 2021

Q80.If B is a matrix such that B2 = B and A = I – B, then which of the following is not correct?

AA2 = A BA2 = I CAB = 0 DBA = 0

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