Math Chapter Wise

EnglishTGT 2003

Q161.If 1 1 cosx y tan 1 cosx − − − − = +, the dy dx is

A1/4 B1/2 C1 D2

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EnglishTGT 2003

Q162.If sin (x + y) = log (x + y) then dy dx equal to

A2 B-2 C1 D–1

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EnglishTGT 2001

Q163.x 0 sin 2x lim x → is equal to

A0 B1 C1/2 D2

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EnglishTGT 2001

Q164.If 1 1 x t, y t t t = + = − = + = − = + = − = + = − then 2 d y dx is equal to

A– 4t(t2/-1)–2 B– 4t3 (t2 -1)–3 C(t2 +1)(t2 –1) –1 D– 4t2 (t2 –1)–2

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EnglishTGT 2001

Q165.If 2 y P(x), = there are three power of polynomial then 2 3 2 d d y 2 y dx dx =

A''' ' P (x) P (x) + B''' ''' P (x) P (x) + C'''/P(x)P (x) Dcontant

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EnglishTGT 2001

Q166.Differential equation 3/ 2 2 2 2 dy d y 1 dx dx + = degree of

A1 B2 C3 D6

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EnglishTGT 2001

Q167.n 1 1 1 1 lim..... n n 1 n 2 3n →∞ + + + + + + + + + + + + + + + + + + value of

Alog2 Blog3 C–log3 DNone of these

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EnglishTGT 1999

Q168.The value of 3 x 0 x sinx lim x → −

A1/2 B1/6 C1/8 D1/4

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EnglishTGT 1999

Q169.If f(x)=log(x2 +1) then, lim x 2 f(x) f(2) x 2 → − is equal to

A0 B4/5 C1/2 D5/4

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EnglishTGT 1999

Q170.Solve: y 2 dy 1 e dx x x + =

A) 1 cx 2 (e x 2 y − = B2x =ey (cx2 –1) C2x =ey (2cx2 –1) DNone of these

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EnglishTGT 1999

Q171.If y = sin-1 2 2x 1 x + where 0 < x < 1 and 0 < y < 2 π then dy dx is equal to:

A2 x 1 2 + B2 x 1 x 2 + C2 x 1 + D2 x 1 x + −

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EnglishPGT 2011

Q172.The value of () → − x 2 x 0 e 1+ x lim x:

A0 B1/2 C2 De

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EnglishPGT 2011

Q173.The value of x x x 0 a b lim x → − is:

Aa log b Bb log a Clog (ab) DNone of these

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EnglishPGT 2011

Q174.The value of x x b lim a sin a →∞ is (a > 1):

Ab log a Ba log b Cb DNone of these

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EnglishPGT 2011

Q175.The value of 0 x | x | lim x → is:

A1 B–1 C0 DNone of these

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EnglishPGT 2011

Q176.If () 1 sin, x 0 f x = x k, x = 0 ≠ is continuous at x = 0 then the value of k is:

A∞ B1 C–1 DNone of these

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EnglishPGT 2011

Q177.If () 9 2 f x = x + then () () 4 f 4 4 x f x lim x → − have the value:

A5/4 B−4/5 C4/5 DNone of these

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EnglishPGT 2011

Q178.If y = sinn x cos nx then = dy dx is equal to:

An sinn –1/x cos (n + 1) x Bn sinn –1/x sin (n + 1) x Cn sinn –1/x cos (n – 1) x Dn sinn –1/x cos nx

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EnglishPGT 2011

Q179.The differential coefficient of log tan x is:

A2 sec 2x B2 cosec 2x C2 sec3/x D2 cosec3/x

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EnglishPGT 2011

Q180.If y = log x then n d y dx = is equal to:

A() () n 1 n 1! x − − B() () n 1 n 1 n 1! x − − − C() n 1 n 1 n! x − D() () n 1 1 n 1! x − + − −

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