The locus of the feet of the perpendiculars drawn from the point (a, 0) on the tangents to the circle is
Given circle is and equation of any tangent to it is
Now equation of line through (a, 0) and perpendicular to (i) is given by
The locus of feet of drawn from (a, 0) to the tangents of the circle will be same as the locus of point of intersection of (i) and (ii), so eliminating m from (i) and (ii), we have
Study 40% syllabus and score up to 100% marks in JEE