The equation of pair of straight lines joining the point of intersection of the curve `x^2+y^2=4 and y-x=2` to the origin , is

Options

A. `x^2+y^2=(y-x)^2`
B. `x^2+y^2+(y-x)^2=0`
C. `x^2+y^2=4(y-x)^2`
D. `x^2+y^2+4(y-x)^2=0`

Answer

A

Explanation

Given , equation of curves are `x^2+y^2=4 and y-x=2`
Now , equation of straight line joining point of intersection of above curve and origin is `x^2+y^2=(y-x)^2`