question_answer

In a right angled \[\Delta ABC,\] \[\angle c=90{}^\circ \] and \[CD\] is the perpendicular on the hypotenuse AB = c, BC = a, AC = b and CD = p, then:

A)  \[\frac{p}{a}=\frac{p}{b}\]                  

B)  \[\frac{1}{{{p}^{2}}}+\frac{1}{{{b}^{2}}}=\frac{1}{{{a}^{2}}}\]

C)  \[{{p}^{2}}={{b}^{2}}+{{c}^{2}}\]                     

D)  \[\frac{1}{{{p}^{2}}}=\frac{1}{{{a}^{2}}}+\frac{1}{{{b}^{2}}}\]

E)  None of these