Math Chapter Wise

EnglishHaryana PGT 2020

Q101.The area bounded by the curve y2 = x3 and the line y = 2x is:

A6 3 1 B6 5 1 C8/3 D8/5

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EnglishHaryana PGT 2020

Q102.() ∫ 1 m-1 n-1 m+n 0 x + x dx,m > 0,n > 0 = 1+ x

A() () () m n Γ Γ Γ + B() () () 2 m n m n Γ Γ Γ + C() () () m n 2 m n Γ Γ Γ + D() () () () m n Γ Γ

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EnglishHaryana PGT 2020

Q103.If () ∫ 2 -1 2 x -1 dx = tan x + g x + c, x +1 then g(x) =

A2 1 x 1 + B1 x tan 2 − C() 2 1 2 x 1 + D() 1 2 x 1 +

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EnglishHaryana PGT 2018

Q104.If () () () () ≤ ∫ b a d f x = g x,for a x b,then f x g x dx = dx a

Ag(b) – g(a) Bf(b) – f(a) C() () 2 2 {g b } {g a } 2 − D() () 2 2 {f b } {f a } 2 −

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EnglishHaryana PGT 2018

Q105.Let An = ∫ π 4 n 0 tan x dx, then A10 + A8 =

A1/8 B1/9 C1/11 D1/13

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EnglishUKPSC GIC 2018

Q106.The value of [ ] ∫ 4 0 x dx, where[x] is greatest integer less than x, is

A6 B5 C8 D10

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EnglishUKPSC GIC 2018

Q107.Area bounded by the curve y = x and axis of x between x = –4 and x = 2 is

A16 sq. unit B12 sq. unit C8 sq. unit D10 sq. unit

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EnglishUKPSC GIC 2018

Q108.The value of ∫ b a f(x)dx f(x) + f(a +b - x) is

Aa b 2 + Bb – a C−b a/2 Da+b

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EnglishUKPSC GIC 2018

Q109.The area of the region bounded between the line x = 4 and the parabola y2 = 16x is

A112 sq.unit 3 B128 sq.unit 3 C138 sq.unit 3 D98 sq.unit 3

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EnglishUKPSC GIC 2018

Q110.If f'(x) = 1 x + x and f(1)= 5 2, then f(x) is

Ax2/+ 2 Blog 2 x x 2 2 + + C2 x x 1 2 + + DNone of these

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EnglishRajasthan TGT 2015

Q111.2 6 sin x dx, cos x ∫ ∫ is-

Aa polynomial of degree 5 in sin x Ba polynomial of degree 4 in ex Ca polynomial of degree 5 in cos x Da polynomial of degree 5 in tan x

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EnglishRajasthan TGT 2013

Q112.() = ∫ 2 7 9 7 1-cosx dx 1+cosx

A3 7 4 x tan c 7 2 − + B11 7 7 x tan c 11 2 + C11 7 7 x cos c 11 2 + D3 7 4 x sin c 7 2 − +

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EnglishRajasthan TGT 2013

Q113.() = ∫ n secx dx secx + tanx

A() n 1 secx tan x c n − + B– () n 1 secx tan x c n + + C– () n 1 secx tan x c n − + D() n 1 secx tan x c n − − +

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EnglishRajasthan TGT 2013

Q114.If 2x > 3, then = ∫ 2 dx 9-4x

Ae 1 3 2x log c 12 3 2x − + Be 1 3 2x log c 12 3 2x + − Ce 1 2x 3 log c 12 2x 3 + − De 1 2x 3 log c 12 2x 3 − +

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EnglishRajasthan TGT 2013

Q115.If [x] denotes the greatest integer function of x then [ ] [ ] ∫ ∫ b b a a x dx + -x dx=

A2(a – b) Ba – b C2(b – a) D0

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EnglishRajasthan TGT 2013

Q116.If I1 = () ∫ x 2 e dx, 1+x () ∫ x 2 2 2 xe I = dx, 1+ x () ∫ 2 x 3 2 2 x e I = dx, 1+ x then I1 –2I2 + I3 =

A() x 2 e c 1 x + B() x 2 e c 1 x + C() x 2 xe c 1 x + D() x 2 2e c 1 x +

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EnglishRajasthan TGT 2011

Q117.x e 1 dx e 1 − + ∫ ∫ is equal to

Ax e log (e 1) C + + Bx e log (e 1) C − + Cx x 2 2 e 2log (e e) C Dx x 2 2 e 1 log (e e) C 2 − − +

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EnglishRajasthan TGT 2011

Q118.4 dx x(x 1) − ∫ ∫ is equal to

A() 4 4 e 1 log (x /(x 1) C 4 − + B() 4 4 e 1 log (x 1)/ x C 4 − + C() 4 4 e log (x 1)/ x C − + D() 4 4 e log x /(x 1) C − +

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q119.Where A and B are real constant then sina dx Ax Blog sec(x a) c, cos(x a) = + − + − ∫

AA cosa,B sina,c = ∈ ℝ BA,B cosa,C sina ∈ = ℝ CA sina,B,C cosa = ∈ = ℝ DA sina,B cosa,c = ∈ ℝ

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q120.The anti-derivative F(x) of the function (()))2 1 f(x) log(logx) logx = + = + such that F(e)=e, will be.

Alog(logx) xlog x e/− − B1 xlog(log x) x 2e logx − + Cxlog(log x) xlogx 2e/− − Dlog(logx) xlogx e/+ +

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