The parametric equation of a circle passing through origin are given by
\[
x=-g+5\cos\theta,
\qquad
y=-f+5\sin\theta.
\]
If the straight line passing through origin with slope
\[
-\frac43
\]
is the diameter of this circle, then the sum of the intercepts made by this circle on the coordinate axes is
Show Hint
For
\[
x=h+r\cos\theta,\qquad
y=k+r\sin\theta,
\]
the centre is \((h,k)\) and the radius is \(r\).
If the circle passes through the origin,
\[
\boxed{h^2+k^2=r^2.}
\]