Math Chapter Wise

EnglishGIC Lecturer Exam- 2015

Q161.In a triangle ABC, a = 30, b = 11 and c = 25. The radius of the inscribed circle ∆ ∆ ∆ABC is

A2 B3 C4 D5

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EnglishGIC Lecturer Exam- 2015

Q162.The solution of tan–1 2x+tan–1 3x = π 4 is

A1 B1/3 C1/6 D–1

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EnglishGIC Lecturer Exam- 2015

Q163.The value of is 1 6 cos cos 5 equal to–

A5 B2/5 C4/5 D6/5

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EnglishGIC Lecturer Exam-2015

Q164.If 1 1 2 sin x sin y 3 and 1 1 cos x cos y 3 then the value of (x,y) is–

A(1, 1) B1 1, 2 2 C1,1 2 D1 1, 2

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EnglishTGT 2010

Q165.In a triangle ABC, a = 4, b = 3, ∠ ∠ ∠A = 60°. Then c is root of the equation

Ac2 – 3c–7 = 0 Bc2 + 3c+7 = 0 Cc2 – 3c+7 = 0 Dc2 + 3c–7 = 0

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EnglishTGT 2010

Q166.In a triangle ABC, a 2 2 C A 3b cos ccos 2 2 2 + = + =, then the sides, a,b,c are in -

AA.P. BG.P. CH.P. Da + b = c

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EnglishTGT 2010

Q167.If a = 14 metre, c = 7 2 metre and ∠ ∠ ∠B = 45°, then area of the triangle ABC is

A40sq.m B42sq.m C45sq.m D49sq.m

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EnglishTGT 2010

Q168.The θ eliminates of the following equations are tan θ +sin θ = m and tan θ – sin θ = n then

A2 2 4 m n mn − = B2 2 2 2 m n m n − = + C2 2 4 m n mn − = D2 2 4 m n mn + =

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EnglishTGT 2010

Q169.If m tan, m 1 α = + 1 tan 2m 1 β = + then α+β =

A6/π Bπ C4/π D3 2 π

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EnglishTGT 2010

Q170.If cos 20° = k and cos x = 2k2 –1, then in the interval (0,2π) the value of x is

A–140° B40° and 140° C140° D40° and 320°

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EnglishTGT 2009

Q171.If ∆ ∆ ∆ is the area of triangle ABC then the value of a2 sin2B+b2 sin2A will be equal to:

A3 ∆ B2 ∆ C4 ∆ D–4 ∆

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EnglishTGT 2009

Q172.If tan 2sec 3 θ − θ= θ − θ= θ − θ= θ − θ= then the General value of θ will be:

A() n n 1. 4 3 π+ − − B() n n 1. 3 4 π+ − − C() n n 1. 3 4 π+ − + D() n n 1. 4 3 π+ − +

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EnglishTGT 2009

Q173.If f(θ) = logesinθ, g(θ) = logecosθ, then the value of e2g(θ) – e2f(θ)

Asin 2θ Bcos 2θ Ctan 2θ DNone of these

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EnglishTGT 2009

Q174.If 2cos2 θ – sin2 θ = 3 (1+ cos2θ), then θ is:

A1 1 cos 3 − B1 1 cos 2 − C1 1 cos 2 − DNone of these

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EnglishTGT 2009

Q175.If 1 1 cot cos tan cos x − − α − α = α − α = α − α = α − α = then sin x is:

A2 tan 2 α B2 cot 2 α Ctanα Dcot 2 α

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EnglishTGT 2009

Q176.The value of 2 0 1 tan 15 1 tan 15 − + is:

A1 B3 C3/2 D2

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EnglishTGT 2009

Q177.If sin(x y) a b sin(x y) a b + + = − −, then the value of tanx tany will be:

Ab/a Ba/b Cab DNone of these

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EnglishTGT 2009

Q178.If tan tan2 tan tan2 1, θ+ θ+ θ= θ+ θ+ θ= θ+ θ+ θ= θ+ θ+ θ= then θ is–

An 4 π+ Bn 2 π+ C1 n 4 3 π + DNone of these

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EnglishTGT 2009

Q179.If a = 14, b = 22 and ∠ ∠ ∠B = 300, then in ∆ ∆ ∆ABC, the value of ∠ ∠ ∠A will be–

A1 22 sin 7 − B1 7 sin 22 − C1 22 cos 7 − D1 7 cos 22 −

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EnglishTGT 2009

Q180.If tan sin cot cos, 2 2 π θ = θ = θ = θ = θ then sin cos θ+ θ= θ+ θ= θ+ θ= θ+ θ=

A2n + 2 B2n – 1 C2n D2n + 1

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