Math Chapter Wise

EnglishGIC Lecturer Exam-2015

Q81.The minimum value of (sec–1 x)2 +(cosec–1 x)2 is equal to

Aπ2//4 Bπ2//8 Cπ2//3 Dπ2//6

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EnglishGIC Lecturer Exam-2015

Q82.Let ABC be any triangle, then a2 (cos 2B – cos 2C) + b2 (cos 2C – cos 2A) + c2 (cos2A – cos 2B) is equal to–

A3abc B0 C3 Da2 + b2 + c2

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EnglishTGT 2013

Q83.If the point D in ∆ABC is the mid-point of side BC in the value of (AB)2 + (AC)2 is.

A() () 2 2 AB BD + BAD BD/+ C() () 2 2 2 AD 2 BD + DAD BD

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EnglishTGT 2013

Q84.If ∈ -1 2 3 1 1 f(x) = sin x - 1- x,x -,2 2 2 2 then f(x) will be.

A1 sin x 2 − π − B1 sin x 3 − π − C1 sin x 6 − π − D1 sin x 4 − π −

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EnglishTGT 2013

Q85.If in an equilateral ABC ∆ whose side length is 2a a perpendicular is inserted from one vertex. then top what will be the length of the long?

Aa 2 Ba 3 Ca 5 Da

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EnglishTGT 2013

Q86.The numerical value of 5 7 sin sin sin 18 18 18 π is.

A0 B1/8 C1/4 D1/2

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EnglishTGT 2013

Q87.The equation 1 cosx.cos x cos x,x 0,6 3 3 4 π + − = ∈ π + − = ∈ π + − = ∈ π + − = ∈ π sum of solution is.

A30π B24π C18π D12π

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EnglishTGT 2009

Q88.If -1 -1 x 5 π sin +cosec =, 5 4 2 then the value of x will be-

A1 B3 C4 D5

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EnglishTGT 2009

Q89.1 1 cos cos sin 7 7 − − − + − = + − = + − = + − =

A−1/3 B0 C1/3 D4/9

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EnglishTGT 2005

Q90.tan (cos–1 x) is equal to

A2 (1) x − B2 (1) x + C2 (1) x + D2 (1) x −

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EnglishTGT 2005

Q91.The perimeter of triangle ABC is 6 time the arithmetic mean of sin of the three angles of the triangle if on side then what is the value of angle A?

A6/π B3/π C2/π Dπ

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EnglishTGT 2005

Q92.If the radius of an in circle is 6 and the sides of the triangle are 5k, 6k, and 5k then the value of k will be:

A3 B4 C5 D6

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EnglishTGT 2005

Q93.If two angles of triangle are 30º and 45º and one side is 3 +1, then what will be the area of the triangle:

A() 1 3 1 2 + B3 1/+ C() 1 3 1 2 − DNone of these

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EnglishTGT 2005

Q94.a cot A+ b cot B+ c cot C will be equal to

Ar + R Br – R C2(r + R) D2(r – R)

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EnglishTGT 2005

Q95.If the perimeter of a circle is one if the (n) sides of consecutive polygons are equal to each other, then what will be the ratio of their Area:

Atan: n n π Bcos: n n π Csin: n n π Dcot: n n π

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EnglishTGT 2005 PGT 2010

Q96.Two sides of a triangle are 3 +1 and 3-1 respectively and one angle is 60º then what will be the remaining two angles.

A900,300 B1050,150 C750,450 DNone of these

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EnglishTGT 2005

Q97.If A + B +C =1800 then sin 2A + sin2B + sin2C what will be equal to -

A4 cos A cos B cos C B4 sin A sin B sin C C2 sin A sin B sin C D8 sin A sin B sin C

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EnglishTGT 2005

Q98.What is the general solution sinx – 3 sin2x + sin 3x = cosx –3 cos 2x+ cos3x is:

A/8 nπ + B2 8 nπ + C() 1 2 8 n nπ − + D1 3 2 n Cos π − +

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EnglishTGT 2005

Q99.The side of values tan3 tan 2 1 1 tan3 tan 2 x x − = + is-

Aφ B{ } / 4 π C: 1,2,3... 4 n n π + = D2: 1,2 4 n n π + =

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EnglishTGT 2005

Q100.The value of -1 -1 x x - y tan - tan y x + y is-

A2/π B3/π C4/π D3 4 4 or π −

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