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If a^(2)sec^(2)x+b^(2)tan^(2)x=c^(2) the...

If `a^(2)sec^(2)x+b^(2)tan^(2)x=c^(2)` then the value of `sec^(2)x+tan^(2)x` is equal to (assume `b^(2)!=a^(2)`)

A

`(b^(2)-a^(2)+2c^(2))/(b^(2)+a^(2))`

B

`(b^(2)+a^(2)-2c^(2))/(b^(2)-a^(2))`

C

`(b^(2)-a^(2)-2c^(2))/(b^(2)+a^(2))`

D

`(b^(2)-a^(2))/(b^(2)+a^(2)+2c^(2))`

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