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If the length of sub-normal is equal to ...

If the length of sub-normal is equal to the length of sub-tangent at any point (3,4) on the curve `y=f(x)` and the tangent at (3,4) to `y=f(x)` meets the coordinate axes at `Aa n dB` , then the maximum area of the triangle `O A B ,` where `O` is origin, is 45/2 (b) 49/2 (c) 25/2 (d) 81/2

A

`(45)/(2)`

B

`(49)/(2)`

C

`(25)/(2)`

D

`(81)/(2)`

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