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If f(x)=(sin^(2)x-1)^(n) (2+cos^(2)x), t...

If `f(x)=(sin^(2)x-1)^(n) (2+cos^(2)x)`, then `x = pi/2` is a point of

A

local maximum, if n is odd

B

local minimum, if n is odd

C

local maximum, if n is even

D

local minimum, if n is even

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The correct Answer is:
A, D
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FIITJEE-APPLICATION OF DERIVATIVE-SOLVED PROBLEMS (OBJECTIVE)
  1. f(x) is cubic polynomial which has local maximum at x = -1. If f(2) = ...

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  2. The inequality x^(2)-3x gt tan^(-1) x is ture in

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  3. If f(x)=(sin^(2)x-1)^(n) (2+cos^(2)x), then x = pi/2 is a point of

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  4. Let f(x)=int(0)^(x)e^(t)(t-1)(t-2)dt. Then, f decreases in the interva...

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  5. Range of the function f(x) = (x-1)^(5)/(x^(5)-1) is

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  6. Range of the function f(x)= x^(2)-6x+5/x^(2)-5x+6 is

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  7. Range of the function f(x)= x cos( 1/x), xgt1

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  8. If both the critical points of f(x) = ax^(3)+bx^(2) +cx +d are -ve the...

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  9. The least number of imaginary roots of f(x) = ax^(6)+bx^(4)+cx^(2)+dx ...

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  10. Statement -1: f(x) = x^(3)-3x+1 =0 has one root in the interval [-2,2]...

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  11. If the equation x^(2)-3x+|3x-a|le0 is to be satisfied by atleast one x...

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  12. If f(x) is differentiable and strictly increasing function, then the v...

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  13. The set of all values of a for which the function f(x)=(a^2-3a+2)(cos...

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  14. The set of all points where f(x) is increasing in (a,b)cup(c, infty) t...

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  15. If f(x) = x^(3) + ax^(2) + bx+c = 0 has three distinct integral roots ...

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  16. Let x and y be positive real numbers such that y^(3) + y le x -x^(3) ...

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  17. Match the following : {:("List - I " , " List - II") ,("(P) If " x^(...

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  18. Which of the following options is the only Correct combination ?

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  19. Which of the following options is the only Correct combination ?

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  20. Which of the following options is the only Correct combination ?

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