Math Chapter Wise

EnglishUKPSC GIC 2018

Q121.() a d log x dx is

A1/x Be 1 log a x Ca 1 log e x Da/x

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EnglishUKPSC GIC 2018

Q122.If the function f:R→ → →R where R is the set of real numbers, is defined as f(x)= x-1 + x -5 Then the value of f' (3) is

A0 B2 C–2 D4

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EnglishUKPSC GIC 2018

Q123.The function f is defined as () ≠ kcosx π,whenx π - 2x 2 f x = π 3, when x = 2 If f(x) is continuous at x =, 2 π then the value of k is

A3 B–3 C6 D–6

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EnglishPGT 2010

Q124.If f(x) = loge (loge x), then f'

A1/e Be C1 D0 Eis

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EnglishUP PGT-2016 (02-02-2019)

Q125.If x 1 f(x) x 2 − = + and ((()) 1 y f x − =, then dy dx is equal to

A−2/1 x B3 1 x + C()2 3 1 x − D()2 3 1 x +

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EnglishUP TGT-2016 (08-03-2019)

Q126.If f'(x)=g(x) and g'(x)=f(x2), then f"(x2) is equal to

Ag(x2/) Bf(x4/) Cf(x3/) Dg(x4/)

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

Q127.If x y 3, = then 2 d y dx is–

A−x 2/x(x 1)3 − B1 Clog 3 Dy (log3)2

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EnglishGIC Lecturer Exam- 2015

Q128.If x sec cos and n n y sec cos, then the value of 2 2 dy (x 4) dx is–

A2 2/n (y 4) B2 2/x (y 4) C2/y 4 DNone of the above

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q129.If ax bx f(x) be ae, then f (0) is equal to–

A0 B2ab Cab (a + b) Dab

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EnglishPGT 2011

Q130.If x y x y 2 2 2 + + + = + = then dy dx is equal to:

Ax y 2 2 + − Bx y 2 2 1 2 + + Cy x y x 1 2 1 2 − − − Dx y x y 2 2 2 + −

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EnglishPGT 2011

Q131.If y x y x e − − = then dy dx is equal to:

A() 1 1 logx − + B() 2 1 logx − + C()2 log x 1 log x + DNone of these

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EnglishPGT 2011

Q132.The derivative of 1 2 1 sec 2x 1 − with respect to 2 1 x − − at 1 x 2 = is:

A2 B4 C3 D–2

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q133.If 2 x x 5 lim ax b, 2x 3 →∞ + − − = ∞ − − = ∞ − − = ∞ − − = ∞ + find the value of a and b

A1 a,b |R 2 ≠ ∉ B1 a,b |R 2 = ∉ C1 a,b |R 2 = ∈ D1 a,b |R 2 ≠ ∈

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q134.Function at ((())) 2 x, x 0 f x x 0 3x 5x 0, x 0 ≠ = − = is not continuous because of?

A() () x 0 limf x f 0 → ≠ B() x 0 lim f x + → C() x 0 lim f x − → D() x 0 limf x →

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EnglishLT 2018

Q135.n a lim 1 sin n →∞ + is equal to/ n a lim 1 sin n →∞ + yejeyej nw

Ae Bea Ce2a D0

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EnglishLT 2018

Q136.Let f: R→ → →R be a differentiable function such that f'(x2)=4x2 –1 for x > 0 and f(1)=1. Then f(4) is

A64 B30 C42 D28

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EnglishLT 2018

Q137.1 x 1 x 0 x e 1 lim e 1 + → − + is equal to

A–1 B1 C0 D2

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EnglishLT 2018

Q138.If x 0 1 limxsin A x → = and x 1 limxsin B x →∞ =, then which of the following is true?

AA=B=0 BA=0 and B=∞ CA = 1 and B = ∞ DA=0 and B=1

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EnglishLT 2018

Q139.If ((()) x a cost tsint = + = + ((()) y a sint tcost = − = − then the value of 2 d y dx is

A3 t sec t a B3/atsec t C3 sec t 1 a t D3 asec t t

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q140.Which of the following limit does not exist?

Ax 0 x lim x Bx 0 sin x lim x Cx 0 x lim cos x DNone these

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