Math Chapter Wise

EnglishKVS PGT 2023

Q21.The value of 1 x x 1 Lt x tan x 2 4 − →∞ + π − + is:

A1/2 B−1/2 C1 D-1

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EnglishKVS PGT 2023

Q22.If y = sec(tan-1 x), then dy dx at x = 1 is equal to:

A1/2 B1 C2 D1/2

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EnglishNVS PGT 2022

Q23.The value of → x x 0 e -sinx -1 lim x is:

A1 B∞ C0 D–1

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EnglishKVS PGT 2022

Q24.The set of points where the function f(x)=|2x−1|. sinx, is differentiable is:

A1 R 2 − BR C(0, ∞) D1/2

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EnglishKVS PGT 2022

Q25.If y = log 2 1 x, 1 x + − then value of dy dx is:

A4 1 4 x − B4 4x 1 x − C3 4 4x 1 x − D4 4x 1 x −

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EnglishKVS PGT 2022

Q26.2 x 4 sec x 2 lim tan x 1 π → − is:

A0 B1 C2 D3

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EnglishOAVS TGT 2022

Q27.If 9 9 x a lim 9 x a →− + = + then the value of ‘a’ is:

A±2 B±1 C±3 D0

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EnglishOAVS TGT 2022

Q28.If y (((()))) 1 2 dy tan 1 x x, then? dx − = + − = + − = + − = + − =

A2 1 1 x − + B2 1 1 x + C() 2 1 2 1 x + D() 2 1 2 1 x − +

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EnglishOAVS TGT 2022

Q29.A function f(x) is defined as f(x) = 1 x: When x 2 5 x: When x 2 + < − ≥

AContinuous at x = 2 BDiscontinuous at x = 2 CContinuous at x = 0 DLimit does not exist

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EnglishOAVS TGT 2022

Q30.2 x 0 tan 3x 2x lim 3x sin x → − is equal to:

A1 B0 C1/3 D1/2

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EnglishOAVS TGT 2022

Q31.If x logx 2, then dy dx at x = e is:

Ae Blog 2 C0 D2e/log2

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EnglishOAVS TGT 2022

Q32.If ((()) 1 xsin: x 0 f x x 0: x 0 ≠ = then it is:

ALimit exists BLimit does not exist CDiscontinuous at x = 0 DContinuous at x = 0

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EnglishOAVS TGT 2022

Q33.x 6 3 sinx cosx lim x 6 π → − π − is equal to:

A2 B0 C1/6 D1

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EnglishOAVS TGT 2022

Q34.Let u (x) and v(x) be differential functions such that u(x) 7. v(x) = If () u' x v'(x) =p and ' u(x) q v(x) =, then p q + − =_______.

A0 B7 C–7 D1

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EnglishRPSC PGT 2022

Q35.x 0 1 lim x → { } (1 x) (1 x) + − −

A1 B0 C∞ D1/2

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EnglishDSE TGT 2022

Q36.2 x 2 2x 3x 1 lim x 2 → + + +

A13/4 B15/4 C17/4 D19/4

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EnglishDSE TGT 2022

Q37.If f(x) = (x-4)/2√x, then f' (x) at x=1 is

A5/4 B4/5 C0 D1

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EnglishDSE TGT 2022

Q38.The derivative of cos (sinx2) at x=√(π/2)

A0 B1 C–1 D2

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EnglishDSE TGT 2022

Q39.If f(x) = ax3, then the value of x f '(x) -3f(x) is

A0 B1 C–1 D2

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EnglishDSE TGT 2022

Q40.If f(x) = x100 + x99 + x98 + ……..+ x+1, then the value of f '(1) is

A5070 B5050 C5060 D5150

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