Question

If a circle inscribed in the parabola \(y^{2}=4ax\) passes through its focus, then the equation of the circle is:

• A. \((x-5a)^2+y^2=16a^2\)
• B. \((x-4a)^2+y^2=9a^2\)
• C. \((x+7a)^2+y^2=64a^2\)
• D. \((x+a)^2+y^2=4a^2\)

Hint:

For parabola-circle problems, always combine tangency + focus condition.

Answer 1

The Correct Option is B