Math Chapter Wise

EnglishUP PCS (Pre) 1998

Q301.If (())) ((())) ((()) (())) ((()) (())) ((())) ((()) (()))((()))((())) ((()) 2 2 2 2 2 2 2 2 2 a x b x c x a y (b y) c y a z b z c z 2 b c c a a b x,y,z − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − = − − − λ = − − − λ = − − − λ = − − − λ then λ (x, y, z) equals

A2 (y – z) (z – x) (x – y) B(y – z) (z – x) (x – y) C(x + y + z) (yz + zx + xy) Dnone of these

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EnglishUP PCS (Pre) 1998 & 2000

Q302.The value of the determinant of the matrix cos 0 sin 0 1 0 sin 0 cos θ − θ − θ − θ − θ is

Acos2 θ – sin2 θ Bsin 2θ C1 Dcos 2θ + sin 2θ

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EnglishUP PGT -2016 (02.02.2019) UP PCS (Pre) 1994

Q303.If 1 1 A 1 1 then A3 is:

AA B2A C3A D4A

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EnglishUP PCS (Pre) 1994

Q304.Let the matrices be 1 1 A 3 3 and 1 1 B 1 1 which one of the following is true?

AA–1/exists BB–1/exists CAB = BA Dnone of these

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EnglishUP PCS (Pre) 1994

Q305.The equations x y z 3, x 2y 3z 4 2x 3y 4z 7 have the solution–

Ax = 2, y = 1, z = 1 Bx = 1, y = 2, z = 1 Cx = 3, y = –1, z = 1 Dx = 1, y = 0, z = 3

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EnglishUP PCS (Pre) 1994

Q306.If A and B are square matrics of same order, then which one of the following is true–

A(AB) A B B1 1 1/(AB) A B C1 1/(A ) (A ) DB AB BA B

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EnglishUP PCS (Pre) 1994

Q307.If 2 3 1 A 0 1 5,and 1 2 1 B 0 1 3 − = − then 2A–3B-

A1 1 0/0 2 3 B1 1 2/0 0 2 C0 5 1/1 1 0 D1 0 5/0 1 1

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EnglishUP PCS (Pre) 1994

Q308.The matrix 0 0 0 1 0 0 2 0 0 is -

ALower triangular matrix BUpper triangular matrix CDiagonal matrix DColumn matrix

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EnglishUP PCS (Pre) 1994

Q309.The system of equations 4x 6y 5, 6x 9y 7 has–

Aa unique solution Bno solution Cinfinitely many solutions Dnone of these

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EnglishUP PCS (Pre) 1995

Q310.If A and B are two non-singular matrices of the same order then–

AAB is singular BAB is non-singular CAB = BA D(AB)–1 =A–1 B–1

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EnglishUP PCS (Pre) 1995

Q311.The value of the determinant 2 2 2 1 1 1 a b c a b c is

Aabc B(a – b)(b – c)(c – a) Ca2 b2 c2 D(a – b)(b – c)(a – c)

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EnglishUP PCS (Pre) 1995, 2006 Rajsthan TGT 2015

Q312.If A cos sin

AA() BA() CA(2) DA(2)

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EnglishUP PCS (Pre) 1995

Q313.The inverse of matrix i 0 0 i –

Ai 0/0 i Bi i/0 i Ci 0/0 i Di i

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EnglishUP PCS (Pre) 1995

Q314.If 1 2 3 A 3 2 6 4 4 9 then 1 A 2 is–

A1 3 1 2 2 3 1 3 2 9 2 2 2 B1 3 1 2 2 3 2 6 4 4 9 C1 1 3 3 1 6 4 2 9 D1 2 3 3 2 6 9 2 2 2

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EnglishUP PCS (Pre) 1995

Q315.If 0 1 A 0 0 and 1 0 B 0 0 then AB is–

AUnit matrix B1 1/0 0 C0 0/1 1 DNull matrix

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EnglishUP PCS (Pre) 1995

Q316.The value of the determinants is: 1 2 3 4 1 3 6 10 1 4 10 20 1 5 15 35 1 2 3 4 1 3 6 10 1 4 10 20 1 5 15 35

A0 B1 C24 DNone of these

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EnglishUP PCS (Pre) 1995

Q317.If matrix 1 1 1 1 1 1 1 1 A 1 1 1 1 1 1 1 1 then A2 is equal to:

AA B2A C3A D4A

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EnglishUP PCS (Pre) 1996

Q318.The Matrix 8 0 0 0 -5 0 0 0 17 is a

Atriangular matrix Bdiagonal matrix Cunit matrix Dscalar matrix

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EnglishUP PCS (Pre) 1996

Q319.The determinant rank of the matrix 1 4 2 5 3 6 is:

A1 B2 C3 DNone of these

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EnglishUP PCS (Pre) 1996

Q320.If A = 2 1 3 4 and I = 1 0 0 1 then matrices sataisfies.

AA2 – 5A + 6I = 0 BA2 – 6A – 5I = 0 CA2 – 6A + 5I = 0 DNone of the these

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