Math Chapter Wise

EnglishPGT 2009

Q61.If R and r are radii of circumcircle and incircle of a ∆ ∆ ∆ABC. Then r is equal to

Asin sin sin 2 2 2 A B C R B4 sin sin sin 2 2 2 A B C R Ccos cos cos 2 2 2 A B C R D4 cos cos cos 2 2 2 A B C R

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EnglishPGT 2009

Q62.In ∆ ∆ ∆ABC, the value of (a – b)2 2 2 2 C C cos (a b) sin 2 2 + + + + is

Aa2 Bb2 Cc2 D–c2

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EnglishPGT 2009

Q63.In ∆ ∆ ∆ABC, if 3a = b + c, then the value of cot cot 2 2 B C is

A1 B2 C3 D2

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EnglishPGT 2005

Q64.If sin–1 (3/5) +sin–1 (4/5)=2tan–1 x, then x is equal to:

A1/5 B1 C7/5 D3/4

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EnglishPGT 2005

Q65.An isosceles triangle ABC with vertex at A(a,0) is inscribed in the circle x2 +y2 =a2. If the base angle B and C be each 750, then the co- ordinates of B and C are:

A3 3,,, 2 3 2 3 − − − a a a a B3 3,,, 2 2 2 2 − − − a a a a C3 3,,, 2 2 2 2 − a a a a D3 3,,, 2 2 2 2 − − − a a a a

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EnglishPGT 2005

Q66.Let 1 1 x 1 x 1 y sin sec, x 1 x 1 − − + − = + − + then dy dx is

A1 B0 C1 + − x D1 − + x

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EnglishPGT 2004

Q67.If sin–1 x + sin–1 2x = π/3 the value of x will be?

A3 / 2 7/± B3 / 7/± C0 D1

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EnglishPGT 2004

Q68.If cos-1 1 1 3 cos 1 cos. 1 4 p p q π − − + − + − = + − + − = + − + − = + − + − =, then the value of q is

A1 B1/2 C1/3 D1/2

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EnglishPGT 2003

Q69.If 1 1 1 cos cos cos x y z − − − − − − − − − − − − + + = + + = + + = + + = π then 2 2 2 2 x y z xyz + + + + + + + + + + + + equal to

A0 B1 C2 D3

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EnglishPGT 2003

Q70.Solve tan–1 2x + tan–1 3x = 4 π

A1, 1 6 = − x B1,1 6 x = C1,2 6 = x D6, 1

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EnglishPGT 2003

Q71.The value of cos tan–1 cot sin–1 x

A0 B/ 2/π C/ 2/x DNone of these

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EnglishPGT 2002

Q72.1 1 sin cot costan x − − is equal to:

A2 x 1 x 2 − + B2 x 2 x 1 − + C2 x 1 x 2 + DNone of these

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EnglishPGT 2000

Q73.If 1 1 1 sin sin cos x 1 5 − − + = Then x is equal to:

A1 B1/5 C4/5 D0 (zero)

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EnglishRajasthan TGT 2016

Q74.If 1 x 2, x + = + = then principal value of sin–1 x + cos–1 x is

A0 Bπ C2/π D4/π

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EnglishKVS TGT DEC 2017

Q75.For a cyclic quadrilateral ABCD, cosB+cosD is equal to–

A1 B–1 C2 D0

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EnglishTGT 2013

Q76.In triangle ABC, 0 A 120 ∠ = ∠ = and AB = AC, then value of the ∠B and C ∠ ∠ Will be respectively.

A300, 300 B150,750 C300,600 D300,1200

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EnglishTGT 2013

Q77.If tan 2 α and tan 2 β are the root s of the equation 8x2 – 26x + 15 = 0, then find the value of cos(α + β).

A0 B1 C–1 D−627/725

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EnglishTGT 2013

Q78.If the polar coordinate of the vertex of triangle are (0, 0) 3, 2 π and 3, 6 π respectively then how it that triangle will be.

ARight angle triangle BEquilateral triangle CIsosceles triangle DNone of these

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EnglishTGT 2013

Q79.What is the radius of circle which subtend an arc of 132 cm and whose central angle 45o?

A132 cm B148 cm C164 cm D168 cm

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EnglishTGT 2013

Q80.If in a triangle PQR its sides p,q, r are in arithmetic series then what is the value of R P cot cot 2 2 will be.

A0 B1 C2 D3

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