If ‘p’ is the length of the perpendicular drawn from the origin upon a straight line then the locus of mid point of the portion of the line intercepted between the coordinate axes is

• A

  $\frac{1}{x^2}+\frac{1}{y^2}=\frac{1}{p^2}$

• B

  $\frac{1}{x^2}+\frac{1}{y^2}=\frac{2}{p^2}$

• C

  $\frac{1}{x^2}+\frac{1}{y^2}=\frac{4}{p^2}$

• D

  $\frac{1}{x^2}+\frac{1}{y^2}=\frac{1}{p}$