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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)` |
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C. |
`c^2/sin^2 theta` |
D. |
`c^2/sqrt(ab)` |
`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)`