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  4. P is a point on the parabola y2=4 a x(a>0) whose vertex is A. PA is produced to meet the directrix in D and M is the foot of the perpendicular from P on the directrix. If a circle is described on MD as a diameter then it intersects the X-axis at a point whose co-ordinates are:

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Q. P is a point on the parabola $y^2=4 a x(a>0)$ whose vertex is A. PA is produced to meet the directrix in $D$ and $M$ is the foot of the perpendicular from $P$ on the directrix. If a circle is described on $MD$ as a diameter then it intersects the $X$-axis at a point whose co-ordinates are:

Conic Sections

Solution:

Correct answer is (a) $(-3 a, 0)$Correct answer is (d) $( a , 0)$