Math Chapter Wise

EnglishDSSSB TGT 04-09-2021 Shift-I (Male)

Q101.What is the area inside function (2x3 +5x2 –4) ÷ ÷x2 from x = 1 to a.

A– 11÷2 Ba2/+5a+4÷a–10 Ca2/÷2+4ln Da2/÷2 + 5a – 11 ÷2

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EnglishDSSSB TGT 04-09-2021 Shift-I (Male)

Q102.A function g: [0, π÷ ÷ ÷2]→ → →R by g(x)=(cos2 x, if x∈Q Q Q 0, otherwise.) Find the upper Riemann integrals of gover [0, π÷ ÷ ÷2]

Aπ Bπ÷3 Cπ÷4 Dπ÷2

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EnglishDSSSB TGT 04-09-2021 Shift-I (Male)

Q103.A function on [ ] 0,1 by f (x) (1, if x= 1 ÷ ÷ ÷ n for some n ∈ N, 0, otherwise) Find ∫ ∫ ∫f with limits 0 to 1.

A–1 Bn C0 D1

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EnglishUK SSSC LT 2020

Q104.The value of 2 2 sin x cos x dx sin x.cos x − ∫ ∫ is:

Atan x + cot x + c Btan x + cosec x + c C–tan x + cot x + c Dtan x + sec x + c

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EnglishHaryana PGT 2020

Q105.If y = () ∫ 2 e log x dx satisfies the point (1, 2), then:

A() e e y 2 log x log x 2 x − = + B() e e y 2 log x log x 2 x + = + C() e e y 2 log x log x 2 x − = − D() e e y 2 log x log x 2 x + = −

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EnglishHaryana PGT 2020

Q106.The area bounded by the parabola (y – 2)2 = x – 1, the tangent to the parabola at (2, 3), x = 0 and y = 0 is:

A4 sq. unit B5 sq. unit C3 sq. unit D2 sq. unit

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EnglishHaryana PGT 2020

Q107.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

Q108.() ∫ 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

Q109.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

Q110.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

Q111.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

Q112.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

Q113.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

Q114.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

Q115.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

Q116.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

Q117.2 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

Q118.() = ∫ 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

Q119.() = ∫ 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

Q120.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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