Math Chapter Wise

EnglishRajasthan TGT 2016

Q141.Difference between the roots of the equation (()) 8 cosx cosecx, 0 x 2 = ≤ π = ≤ π = ≤ π = ≤ π is

A6/π B4/π C3/π D2/π

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EnglishRajasthan TGT 2013

Q142.If a ≤ 3 cos x + 4 sin () π x - 6 ≤ b always true for all x, then 'a' and 'b' are respectively-

A–5, 5 B5 5, 2 2 − C13, 13 D2 7,2 7

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EnglishJharkhand TGT 2017

Q143.A ray makes angle, 3 3 π with OX and OY respectively. The angle made by it with OZ is

A4/π B2 5 π C2/π D3/π

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EnglishKVS TGT DEC 2017

Q144.If 3 sin 2θ = 2 sin 3θ and 0 < θ < π then value of sin 2θ is–

A2/3 B3/5 C15/8 D2/5

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EnglishKVS TGT DEC 2017

Q145.Let B = 2 sin2 x–cos2x, then–

A1 B 3 B0 B 2 C1 B 1 D2 B 2

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EnglishKVS TGT DEC 2017

Q146.If 1 sin x, 5 − − π = then 1 cos x − equals–

A10 B3/10 C5/10 D7/4

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EnglishKVS TGT DEC 2017

Q147.A solution of the equation 1 1 tan (1 x) tan (1 x) 2 is–

Ax = 1 Bx = –1 Cx = 0 Dx = π

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EnglishKVS TGT DEC 2017

Q148.1 1 3 sin cot 2 4 is equal to–

A1/5 B2/5 C2/5 D1/5

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EnglishTGT 2013

Q149.If sin cosec 2 θ + θ = θ + θ = θ + θ = θ + θ = then the value of 8 8 sin cosec θ + θ + θ + θ + θ

A1 B2 C24 D28

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EnglishTGT 2013

Q150.2 2 x x f(x) 3cos x 4sin x cos sin 2 2 = + + + = + + + = + + + = + + + maximum value is:

A4 B3 2/+ C4 2/+ D5 2/+

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EnglishTGT 2013

Q151.If sin sin a α + β = α + β = α + β = α + β = and cos cos b α − β = α − β = α − β = α − β = then the value of tan 2 α −β will be:

Aa+ b Ba – b C−a/b D−b/a

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EnglishTGT 2013

Q152.What is the total number of solution of the equation cos7 x + sin4 x – 1 = 0 which lie in the interval [ ], −π?

A1 B3 C4 D7

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EnglishTGT 2011

Q153.If 2π 4π xsinθ = ysin θ + = zsin θ + 3 3 then the value is:

A1 B1/2 C0 DNone of these

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EnglishTGT 2011

Q154.Class Interval [ ] -π,π in equation the number of real solutions of 2 x 1+sinx.sin = 0 2

A0 B1 C2 D3

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EnglishTGT 2011

Q155.The value of -1 -1 5π 5π cos cos +sin sin 3 3 is-

A2/π B5 3 π C10 3 π D0

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EnglishTGT 2011

Q156.If in triangle ABC 2cosA cosB 2cosC a b + + = + a b c bc ca then the value of Angle A will be:

A3/π B4/π C2/π D6/π

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EnglishTGT 2011

Q157.In triangle ADC, the value of (b+c)cosA+(c+a) cosB+ (a+b) cosC

A0 BRr CRr2 Da+b+c

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EnglishGIC Lecturer Exam-2015

Q158.If cos–1 p+cos–1 q+cos–1 r = π, then the value of p2 +q2 +r2 +2pqr is

A0 B1 C2 DNone of the above

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EnglishGIC Lecturer Exam-2015

Q159.The value of -1 1 5 tan cos 2 3 is

A3 5 B() 1 3 5 2 − C3 5/+ D() 1 3 5 2 +

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EnglishGIC Lecturer Exam- 2015

Q160.If x f(x) = sin +cos 2x, 2 then period of f(x) is equal to

Aπ B2π C3π D4π

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