Math Chapter Wise

EnglishHaryana PGT 2019

Q61.If y = cos2 x – 6sinxcosx + 3sin2 x + 2, then for real x:

A4 10 y 4 10/− ≤ + B2 10 y 2 10/− ≤ + C3 5 y 4 5/− ≤ + DNone of these

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EnglishHaryana PGT 2019

Q62.If 0 ≤ x ≤ 3π, then the number of distinct values of x, which satisfy the equation sec x + tan x = 3 is:

A1 B2 C3 D4

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EnglishHaryana PGT 2019

Q63.If cos(θ + φ) = mcos (θ – φ), then φ 1 – m cot 1+ m is equal to:

Atan θ B–tan θ C2 tan θ DNone of these

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EnglishHaryana TGT 2020

Q64.If A = cos2 θ + sin4 θ, then for all values of θ is:

A3 A 1 4 ≤ B3 13 A 4 16 ≤ C1 A 2/≤ D13 A 1 16 ≤

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EnglishHaryana TGT 2020

Q65.If ∆ ∆ ∆ABC is a right angled at A, then value of tanB×tan C is:

A–1 B0 C1 D∞

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EnglishHaryana TGT 2019

Q66.If acos bsin c, θ− θ= θ− θ= θ− θ= θ− θ= then asin bcos θ+ θ= θ+ θ= θ+ θ= θ+ θ=

A2 2 2 a b c ± + + B2 2 2 a b c ± + − C2 2 2 c a b ± − − D2 2 2 b a c ± − −

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EnglishHaryana TGT 2019

Q67.If tanA = n tan B and sin A = m sin B, then cos2 A is equal to:

A2 m 1 n 1 + − B2 m 1 n 1 − + C2 m 1 n 1 − D2 n 1 m 1 −

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EnglishUK SSSC LT 2020

Q68.Value of 2 2 sinx sin3x sin x cos x − is:

Asin x Bcos x C–2 sin x D2 sin x

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EnglishHaryana PGT 2020

Q69.The value of tan 20º + 4 sin 20º is:

A3 B1/3 C2 D1/2

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EnglishHaryana PGT 2018 GIC 2015

Q70.Number of solution of the equation tan x + sec x = 2 cos x, lying in the interval [0, 2π] is:

AOne BTwo CThree DFour

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EnglishHaryana PGT 2018

Q71.In a ∆ ∆ ∆ ABC, a, c, A are given and b1, b2 are two values of the third side b such that b2 = 2b1 then sin A =

A2 2 2 9a c 8a + B2 2 2 9a c 8c + C2 2 2 9a c 8a − D2 2 2 9a c 8c −

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EnglishUP TGT-2016 (08-03-2019)

Q72.The value of o o sin75 sin15 cos75 cos15 − + is

A3 B3/2 C1/3 D1/2

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EnglishUP TGT-2016 (08-03-2019)

Q73.If 3 cos(A B) 5 + = + = and 5 sin(A B) 13 − = − =, where 0 ≤ A, B ≥, 4 π then tan 2B is equal to

A11/34 B21/56 C33/56 D1

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EnglishUP TGT-2016 (08-03-2019)

Q74.The value of sin 180 is/sin 180 keâe ceeve nw

A−5 1/4 B5 1 4 + C−5 1/2 D5 1 2 +

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EnglishUP TGT-2016 (08-03-2019)

Q75.The general solution of sinx + cosx = 1 is given by /

Ax = 2nπ Bx 2n 2 π = π + C()n x n 1 4 4 π = π + − − DNone of these

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EnglishUP TGT-2016 (08-03-2019)

Q76.If 1 sin cos, 2 θ = θ = θ = θ = then value of 6 6 sin cos θ + θ + θ + θ + θ is

A1/2 B3/2 C1 D1/4

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EnglishNVS PGT 10-06-2019

Q77.If ((()) 1 tan A B 3 − = − = and ((()) tan A B 3, + = then the value of A and B are respectively:

A300, 300 B300, 600 C450, 150 D400, 200

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EnglishUP TGT-2016 (08-03-2019)

Q78.The value of 9 2 r 1 r sin 18 = π ∑ ∑ is

A1 B0 C5 Dπ

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EnglishGIC Lecturer Exam- 2015

Q79.The minimum value of 27cos2x. 81sin2x is

A1/3 B1/9 C1/27 D1/243

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EnglishNVS PGT 10-06-2019

Q80.If sinα + sinβ + sinγ = 0 and cosα + cosβ + cosγ = 0, then the value of cos(α–β) + cos(β–γ) + cos(γ–α) is:

A0 B–1/2 C–1 D–3/2

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