Find the locus of the mid-point of the portion of the line `xcosalpha+ysinalpha=p` which is intercepted between the axes.

Options

A. `x^(2) + y^(2) = 4 p^(2)`
B. `(1)/(x^(2)) + (1)/(y^(2)) = (4)/(p^(2))`
C. `x^(2) + y^(2) = (4)/(p^(2))`
D. `(1)/(x^(2)) + (1)/(y^(2)) = (2)/(p^(2))`

Answer

B