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Show that the locus of the mid-point of the segment intercepted between the axes of the variable line `xcosalpha+ysinalphapi s1/(x^2)+1/(y^2)=4/(p^2),` where `p` is a constant.

A

`x^(2)+y^(2)=4p^(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))`

Text Solution

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The correct Answer is:
B
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