Math Chapter Wise

EnglishTGT 2001

Q101.The value of sin 120 cos 780 + cos 120 sin 780 is:

A0 B1 C–1 D2

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EnglishTGT 1999

Q102.Given, A =sin2 θ+cos4 θ, then for real value θ is:

A2 A 1 ≤ B1 A 4 / 3 ≤ C13 A 1 16 ≤ D3 13 A 4 16 ≤

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EnglishTGT 1999

Q103.The equation 2 2 2 2 x 2cos sin x x x,0 x 2 2 − − π = + < ≤ = + < ≤ = + < ≤ = + < ≤ in what will be:

AThere is no real solution BHas only one real solution CHas more than one real solution Dnone of these

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EnglishTGT 1999

Q104.If A B 4 π + = + = then value of (1 + tan A) (1+tan B)

A1 B0 C1/2 D2

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EnglishTGT 1999

Q105.The value of cot–1 1 sinx 1 sinx 1 sinx 1 sinx − + + − + + − + + − + + − − + − − + − − + − − + is:

Ax − π Bx 2 − π C2 / π Dx 2 1 − π

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EnglishTGT 1999

Q106.(2cosx-1) (3+2cosx) = 0 of solution interval will it be in 0 x 2 ≤ π ≤ π ≤ π ≤ π?

A{ } 3 / π B{ } 3 / 5, 3 / π C{ }) 2 / 3 (cos, 3 / 5, 3 / 1 − π − DNone of these

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EnglishPGT 2011

Q107.The sides of a triangle are 13, 14, 15 then the radius of its incircle is:

A67/8 B65/4 C4 D24

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EnglishPGT 2011

Q108.In a right angled ∆ ∆ ∆ABC, sin2 A+sin2 B+sin2 C=

A0 B1 C–1 DNone of these

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EnglishPGT 2011

Q109.The general value of θ satisfying the equation 2sin2 θ–3sinθ–2=0

A()n n 1 6 π + − B()n n 1 2 π + − C()n 5 n 1 6 π + − DNone of these

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EnglishPGT 2011

Q110.If tanθ.tan2θ=1 then θ=

An 6 π + Bn 6 π ± C2n 6 π ± DNone of these

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EnglishPGT 2011

Q111.In ∆ ∆ ∆ABC, A=300, B=600, then a:b:c is

A1: 3: 2 B1: 2: 3 C1:2:3 D1: 2:3

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EnglishPGT 2013

Q112.The side of a triangle are 12 cm, 5 cm and 13 cm, then the radius of the circum circle of the triangle is.

A5 cm B6.5 cm C13 cm Dnone of these

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EnglishPGT 2013

Q113.In a triangle ABC ((()) 1 2absin 2 + − A B C is equation.

Aa2 –b2 –c2 Bb2 –a2 –c2 Ca2 +b2 –c2 Da2 +b2 +c2

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EnglishPGT 2010

Q114.The number of values of x in the interval [0, 3π] satisfying the equation 2sin2 x+ 5 sin x–3 = 0 is

A6 B4 C2 D1

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EnglishPGT 2010

Q115.In a triangle ABC, 1 2acsin 2 (A–B+C) is equal to

Aa2 +b2 –c2 Bc2 +a2 –b2 Cb2 –c2 –a2 Dc2 –a2 –b2

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EnglishPGT 2010

Q116.The sides of a triangle are 15 cm, 20cm and 25 cm. Then radius of circum circle of the triangle is

A5cm. B10cm. C12.5cm. DNone of these

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EnglishPGT 2010

Q117.0 0 sin50 cos80 cos30 sin20 − is equal to

A2 B–2 C1 D–1

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EnglishPGT 2010

Q118.If sinθ+sin5θ=sin3θ then θ will be equal to

A750 B450 C300 D900

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EnglishPGT 2010

Q119.2 4 6 cos cos cos 7 7 7 π + + + + is equal to

A−1/4 B1/8 C1/2 D−1/2

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EnglishPGT 2009

Q120.If 4 4 2 2 cos x sin x 1 cos y sin y + = + =, then the value of 4 4 2 2 cos y sin x cos x sin y + + is

A1 B–1 C2 D–2

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