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If agtbgt0andf(theta)=((a^(2)-b^(2))cos...

If `agtbgt0andf(theta)=((a^(2)-b^(2))costheta)/(a-bsintheta),` then the maximum value of `f(theta),` is

A

`2sqrt(a^(2)+b^(2))`

B

`sqrt(a^(2)+b^(2))`

C

`sqrt(a^(2)-b^(2))`

D

`sqrt(b^(2)-a^(2))`

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ARIHANT MATHS ENGLISH-MONOTONICITY MAXIMA AND MINIMA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If agtbgt0andf(theta)=((a^(2)-b^(2))costheta)/(a-bsintheta), then the...

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  2. The least value of alpha in R for which 4ax^2+(1)/(x)ge1, for all xgt ...

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  3. The number of points in (-oo,oo), for which x^2-xsinx-cosx=0, is

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  4. Let f : R ->(0,oo) and g : R -> R be twice differentiable functions...

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  8. A vertical line passing through the point (h, 0) intersects the ellips...

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  11. If the function g:(-oo,oo)->(-pi/2,pi/2) is given by g(u)=2tan^-1(e^u)...

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  12. The second degree polynomial f(x), satisfying f(0)=o, f(1)=1,f'(x)gt...

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  13. If f(x)=x^3+bx^2+cx+d and 0<b^2<c, then

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  14. If f(x)=x^2+2b x+2c^2 and g(x)= -x^2-2c x+b^2 are such that min f(x...

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  15. The length of the longest interval in which the function 3sinx-4sin^3x...

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  17. The maximum value of (cosalpha(1))(cos alpha(2))...(cosalpha(n)), un...

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  18. If f(x) = {{:(e ^(x),,"," 0 le x lt 1 ,, ""), (2- e^(x - 1),,"," 1 lt ...

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  19. If f(x) is a cubic polynomil which as local maximum at x=-1 . If f(2)=...

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  20. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

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