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If U=sqrt(a^(2)cos^(2) theta+ b^(2) sin^...

If `U=sqrt(a^(2)cos^(2) theta+ b^(2) sin^(2) theta)+ sqrt(b^(2)cos^(2) theta+ a^(2) sin^(2) theta)` then the difference between the maximum and minimum values of `U^(2)` is given by

A

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

B

`(a-b)^(2)`

C

`(a+b)^(2)`

D

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

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 G ( VARIATION IN TRIGONOMETRIC FUNCTIONS )
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  7. Minimum value of 4 tan x + 9 cot x is

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  8. Minimum value of 5sec x + 4 tan x is

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  9. Minimum value of sin^(2) theta + "cosec"^(2) theta is

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  10. Minimum value of 24 cos^(2) x+ 16 sec^(2) x is

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  11. The least value of 4 sec^(2) theta + 9 " cosec"^(2) theta is

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  12. The range of f(x)=-3 cos sqrt(3x+x+x^(2)) is

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  13. If 0 le theta le pi//2 then

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  14. Maximum value of sin x cos x is obtained at

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  15. Maximum value of cos x+ sqrt(3) sin x -2 is obtained at

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  16. Minimum value of cos x + sin x is obtained at

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  17. The graph of cot theta , pi//2 lt theta lt 3 pi//2 is discontinuous a...

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  18. The graph of tan theta , 0 lt theta lt pi is discontinuous at theta...

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