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

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

A

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

B

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

C

`(a+b)^(2)`

D

`(a-b)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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