Failed to connect to MySQL: Access denied for user 'examnext_online'@'localhost' (using password: YES) If a, b and c are positive constants (a > b) , then the maximum value of `r^2`, given by `c^4/r^4=a^2/(sin^2 theta)+b^2/(cos^2 theta` must be - Sarthaks eConnect
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If a, b and c are positive constants (a > b) , then the maximum value of `r^2`, given by `c^4/r^4=a^2/(sin^2 theta)+b^2/(cos^2 theta` must be

A.

`c^2/(a-b)`

B.

`c^2/(a+b)`

C.

`c^2/sin^2 theta`

D.

`c^2/sqrt(ab)`

Solution

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Best answer

`c^4/r^4=a^2 cosec^2  theta+ b^2 sec^2 theta=>r^2=c^2/(sqrt((a cot theta-b tan theta)^2+(a+b)^2)`