In `DeltaABC`, C is right angle and a perpendicular 'p' is drawn on side AB. If a, b, c are length of sides BC, CA, AB respectively then which of the following is correct?

Options

A. `(1)/(p^(2))=(1)/(b^(2))-(1)/(a^(2))`
B. `(1)/(p^(2))=(1)/(a^(2))-(1)/(b^(2))`
C. `(1)/(p^(2))+(1)/(a^(2))=(1)/(b^(2))`
D. `(1)/(p^(2))=(1)/(a^(2))-(1)/(b^(2))`