Question

find the equation of the circle passing through (0,0) and making intercepts 4,3 on X-axis and Y-axis respectively​

Answer 1

I HOPE THIS IS YPUR ANSWER

Let S=x2+y20+2gx+2fy=0 be the equation of circle which passes through origin

C=(−g,−f),r=g2+f2

Given that it makes intercept of 4 with x-axis

⟹4=2r2–d2

Where d is distance between center and chord

⟹2=g2+f2–f2

g=±2

Similarly

⟹2=g2+f2–g2

g=±4

Equation of circle is

x2+y2±4x±8y=0