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If k sin^(2)x+(1)/(k) cosec^(2) x=2, x i...

If k `sin^(2)x+(1)/(k) cosec^(2) x=2, x in (0,(pi)/(2)),`
then `cos^(2)x+5sinxcosx+6sin^(2)x` is equal to

A

`(k^(2)+5k+6)/(k^(2))`

B

`(k^(2)-5k+6)/(k^(2))`

C

6

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
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FIITJEE-FUNCTION-ASSIGNMENT PROBLEMS (OBJECTIVE) Level-I
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  2. If f(x) = x^3 + 3x^2 + 12x - 2 sin x, where f: R rarr R, then (A) f(x)...

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  3. If k sin^(2)x+(1)/(k) cosec^(2) x=2, x in (0,(pi)/(2)), then cos^(2...

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  6. If fog = abs(sin x) and gof = sin^(2)x then f(x) and g(x) are:

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  7. Let S={(x,y):abs(abs(absx-2)-1)+abs(abs(absy-2)-1)=1). If S is made ou...

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  11. The range of f(x) =sin(sin^(-1){x}). where { ·} denotes the fractional...

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  13. If f(x)=sin(sqrt([a])x) (where [.] denotes the greatest integer functi...

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  14. If f(x)={x, when x is rational, 1-x, when x is irrational , then

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  15. If f:Rto(1,10), where f(x)=(x^(2)+1-alpha)/(x^(2)+2) is an onto functi...

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  16. If f(x)=cos |x| + [|(sinx)/2|], (where [.] denotes the greatest intege...

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  17. The range of function f(x) = sqrt(.^(x^2+4x)C(2x^2+3)) is

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  18. The curve y = f(x) is symmetric about the lines (10^(4)- 1)x + 2(10^(4...

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  19. If the equation |x^2-5x + 6|-lambda x+7 lambda=0 has exactly 3 distin...

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  20. lf domain of f(x) is [-1, 2] then domain of f([x]-x^2+4) where [.] den...

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