Math Chapter Wise

EnglishHaryana PGT 2019

Q21.If cos–1 x + cos–1 y + cos–1 z = π, then:

Ax2 + y2 + z2 + 2xyz = 1 B(sin–1 x + sin–1 y+ sin–1 z) = cos–1 x + cos–1 y+ cos–1 z Cxy + yz + zx = x + y + z – 1 D1 1 1 x y z 6 x y z + + + + + ≥

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EnglishHaryana PGT 2019

Q22.Value of tan -1 2 π cos – – 7 2 is:

A2/3 5 B2/3 C1/5 D4/5

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EnglishUK SSSC LT 2020

Q23.Value of sin–1 1 3 cos sin 2 − is

A–π/3 Bπ/3 Cπ/6 D–π/6

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EnglishHaryana PGT 2018

Q24.If sin–1 π x =, 5 for some x ∈ (–1, 1), then the value of cos–1 x is:

A9 10 π B7 10 π C3 10 π D10/π

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EnglishHaryana PGT 2018

Q25.The number of real solutions of the following equation is: () () = -1 -1 2 π tan x x +1 + sin x + x +1 2

AZero BOne CTwo DInfinite

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EnglishUP TGT-2016 (08-03-2019)

Q26.The value of sin (cot–1 (tan (cos–1 x)))

A0 B−2/1 x Cπ Dx

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EnglishUP TGT-2016 (08-03-2019)

Q27.The value of 1 1 5 2 cot cosec tan 3 3 − − + is

A5/17 B3/17 C4/17 D6/17

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EnglishNVS PGT 10-06-2019

Q28.The value of x for (())) ((()) 1 1 sin cot x 1 cos tan x − − + = is:

A1 B0 C1/2 D–1/2

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EnglishNVS PGT 10-06-2019

Q29.The principal value of 1 1 3 7 sin cos cos 2 6 − − π − + is:

A3 2 π B3/π C5 6 π D2/π

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EnglishKVS PGT 23-12-2018

Q30.The number of real solutions of the equation 1 1 cos2x 2cos (cosx) − + = + = in, 2 π is:

A1 B2 C0 Dinfinitely many

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EnglishUP PGT-2016 (02-02-2019)

Q31.Maclaurin's expansion of tan–1 x is

A3 5 x x x..... 3 5 + + + B3 5 x x x..... 3 5 − + − C3 5 x x x..... 3 5 + + + D3 5 x x x..... 3 5 − + −

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EnglishUP PGT-2016 (02-02-2019)

Q32.Value of 1 1 1 1 1 1 tan tan tan 2 5 8 − − − − − − − − − − − − + + + + is

A4/π B2/π Cπ Dtan–1/2

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM) PGT 2000

Q33.If 2 1 1 1 2 2 2 2a 1 b 2x sin cos tan 1 a 1 b 1 x − − − − − − − − − − − − − − = + + − + + − + + − + + −,Then the value of x is

A1 ab a b + Ba b 1 ab − + C−1 ab/a b Da b 1 ab + −

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EnglishSECTION B PGT TIER-I 31.11.2014

Q34.The value of 1 3 cos cos 2 is equal to–

A2 B3/2 C5/2 D7/2

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EnglishSECTION B PGT TIER-I 31.11.2014

Q35.The value of cot (sin–1 x) is–

A2 1 x x B2 x 1 x C1/x D2 1 x x

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q36.If 1 1 1 3 sin x sin y sin z, 2 − − − − − − − − − − − − π + + = + + = + + = + + = then 1000 1000 1000 x y z + + + + is equal to–

A0 B1 C3 DCannot be determined

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q37.The value of 1 1 tan x cot x is–

A3/π B6/π C4/π D2/π

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q38.1 1 cos 2sin 3 − is equal to–

A7/9 B1/3 C2/3 Dnone of these

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EnglishTGT 2003

Q39.The straight roads intersect at an angle of 60° ° °. A bus on one road is 2km away from the intersection and a car on the other road is 3 km away from the intersection. Then the direct distance between the two vehicles is:

A1 km B2 km C4km D7 km

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EnglishTGT 2003

Q40.In a triangle ABC, B, C 3 4 π ∠ = ∠ = ∠ = ∠ = ∠ = ∠ = ∠ = ∠ =, Let D divides BC internally in the ratio 1:3 then sin BAD sin CAD ∠ =

A1/6 B1/3 C1/3 D2/3

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