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

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-

A

`(a+ b)^(2)`

B

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

C

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

D

`(a- b)^(2)`

Text Solution

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The correct Answer is:
D
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Knowledge Check

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