The equations of the circle which pass through the origin and make intercepts of lengths 4 and 8 on the X and Y-axes respectively are

Options

A. `x^(2)+y^(2)+4xpm8y=0`
B. `x^(2)+y^(2)+2xpm4y=0`
C. `x^(2)+y^(2)+8xpm16y=0`
D. `x^(2)+y^(2)ypmx+y=0`

Answer

A

Explanation

In `DeltaOAC,oc^(2)=2^(2)+4^(2)=20`
required equation of circle is `
`(+-2)^(2)+(y+-)^(2)=20 rArr x^(2)+y^(2)+-4x+- 8y=0`