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underset(x to (pi)/(2))(lim)(a^(cot x) -...

`underset(x to (pi)/(2))(lim)(a^(cot x) -a^(cosx))/(cot x- cot x )` is equalt o

A

log a

B

log 2

C

a

D

log x

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IPUCET PREVIOUS YEAR PAPERS-GGSIPU MATHMATICS 2012-MCQs
  1. If sec((x+y)/(x-y))=a , prove that (dy)/(dx)=y/x .

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  2. If x^(y)=e^(x-y), then (dy)/(dx) is equal to

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  3. For y= cos(m sin^(-1)x), which of the following is true?

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  4. If f (x) = {{:(x + 1 , x le 1), (3 - ax^(2) ,x gt 1):} is continuous ...

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  5. underset(x to (pi)/(2))(lim)(a^(cot x) -a^(cosx))/(cot x- cot x ) is ...

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  6. If f''(0)=k,kne0, then the value of lim(xto0)(2f(x)-3f(2x)+f(4x))/(x^...

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  7. If g is the inversefunction of f and f’ (x ) = (1)/( 1 + x^(n)) then ...

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  8. The curves 4x^2+9y^2=72 and x^2-y^2=5a t(3,2) touch each other (b)...

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  9. The velocity in m/s of a particle is proportional to the cube of the t...

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  10. The minimum value of x\ (log)e x is equal to e (b) 1//e (c) -1//e (d) ...

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  11. A particle moves along the x-axis so that its position is given x = 2t...

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  12. A stone thrown vertically upwards satisfies the equations s = 80t –16t...

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  13. If f (x+ y) = f(x) , f(y) , f(3) = 3 , f'(0) = 11 . Then f'(3) is equa...

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  14. If y = x tan y , then (dy)/(dx) is equal to

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  15. The product of the lengths ofsubtangent and subnormal at any point x,y...

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  16. The equation to the tangent to (x/a)^n + (y/b)^n = 2 at (a,b)

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  17. The value of int(0)^(oo) (dx)/((x^(2)+4)(x^(2)+9) ) is

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  18. int e^(a log x) + e^( x log a) dx is equal to

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  19. int0^a(dx)/(x+sqrt(a^2-x^2))

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  20. If int(-1) ^(4) f(x) dx=4and int(2)^(4) (3-f(x))dx=7, then int(-1) ^...

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