Math Chapter Wise

EnglishRajasthan TGT 2013

Q281.If 1 − θ 1 -tan 1 tan 2 2 tan 1 -tan 1 2 2 =, a -b b a then

Aa = 1, b = 1 Ba = 1, b = –1 Ca = cos θ, b = sin θ Da= sin θ, b = cos θ

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EnglishRajasthan TGT 2013

Q282.The pth, qth, rth terms of HP are a, b, c respectively then 2 2 2 2 2 2 2 2 2 b c + c a + a b pbc + qca + rab bc + ca + ab pbc + qca + rab p + q + r p + q + r bc + ca + ab p + q + r 3 equals to

A(abc)2 B(abc) C1 D0

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EnglishRajasthan TGT 2013

Q283.The set of matrices S = x -x, 0 x R -x x ≠ ∈ forms a group under multiplication operations with identity element-

A0 1/1 0 B1 1 C1 1 D1 1 2 2 1 1 2 2 −

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EnglishRajasthan TGT 2011

Q284.If a 0 A 1 1 = and 1 0 B 5 1 = are two matrices, then value of a for which A2 =B is

A1 B–1 C4 DDoes not exist

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EnglishRajasthan TGT 2011

Q285.The inverse of the matrix 4 7 1 2 is

A−2 7/1 4 B−2 1/7 4 C−2 7/1 4 D−4 7/1 2

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EnglishRajasthan TGT 2011

Q286.If a b c ≠ and determinant 3 3 a a 1 a b b 1 b 0 c c 1 c + + = + then

Aa b c 0 + + = Ba b c + = Ca b c + = Db c a + =

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EnglishRajasthan TGT 2011

Q287.The system of equations x y z 0, + + = + + = + + = + + = y 2z 0 + = + = and x z 0 α + = α + = α + = α + = has more than one solutions, then the value of α is

A1 B0 C-1 D1/2

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EnglishKVS TGT DEC 2017

Q288.If 5 15 25 7 21 30 8 24 42 then

A0 B1 C1 D5

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EnglishKVS TGT DEC 2017

Q289.The value of b c a a b c a b c c a b is–

Aabc B(a+b)(b+c)(c+a) C4 abc D(a+b+c)

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EnglishTGT 2011

Q290.The value of 11 12 13 12 13 14 13 14 15 will be–b

A1 B0 C–1 D67

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EnglishTGT 2011

Q291.From equation matrix AB = AC, we can conclude that B = C if

A|A| =0 B|A| ≠ 0 CA is symmetric DA is square matrix

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EnglishTGT 2011

Q292.If matrix 1 1 3 A = 5 2 6 -2 -1 -3 then A2 is

ANillpotant matrix BIndempotant matrix CScalar matrix DNone of these

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EnglishTGT 2011

Q293.If 1 sinθ 1 ∆ = -sinθ 1 sinθ -1 -sinθ 1 then, which interval ∆ ∆ will lie–

A[3, 4] B[2, 4] C[1, 4] DNone of these

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EnglishTGT 2011

Q294.If determinant xp + y x y yp + z y z = 0 0 xp + y yp + z then

Ax, y, z are in A.P Bx, y, z are in G.P Cx, y, z are in H.P Dxy, yz, zx are in A.P

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EnglishUP PCS (Pre) 1998

Q295.The rank of the matrix 1 2 3 4 2 1 4 3 3 1 1 7 4 3 2 11 − − − is:

A4 B3 C2 D1

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EnglishUP PCS (Pre) 1998

Q296.If w is a complex root of unity then the determinant 2 2 2 1 1 i w w 1 i 1 w 1 i i w 1 1 + + − − − − − − − − − − − − − − + − − − − + − − − − + − − − − + − − is equal to:

Aw Bi C–1 D0

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EnglishUP PCS (Pre) 1998

Q297.If 1 2 A 4 3 = −, then A2 + 4A – 5I equals

A8 4/8 0 B−0 4/8 8 C2 1/2 0 D1 1/1 0

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EnglishUP PCS (Pre) 1998

Q298.If –1, 0 and 1 are the elements of two matrices A and B of order 1×3 and of order 3×1 respectively, then AB equals:

A[ 0 ] B[ 1 ] C[ 2 ] D[ 3 ]

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EnglishUP PCS (Pre) 1998

Q299.For square matrices A and B of the same order the property which does not hold is:

A(A–1)–1 = A B(λA)–1 = λA–1, λ is a scalar CB–1 A–1 = AB–1 D() 1 1 det A det A − =

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EnglishUP PCS (Pre) 1998 & 2001

Q300.If 1 a A 0 1 =, then An equals:

A1 na/0 n Bn 1 a 0 1 C1 na/0 1 Dn 1 a 0 n

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