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The locus of a foot of perpendicular drawn to the tangent of parabola $y^2=4 a x$ from focus, is
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$x=0$
Tangent to parabola is, $y=m x+\frac{a}{m} \ldots(i)$
A line perpendicular to tangent and passing from focus $(a, 0)$ is, $y=-\frac{x}{m}+\frac{a}{m} \ldots(ii)$
Solving both lines (i) and (ii) $\Rightarrow x=0$
A line perpendicular to tangent and passing from focus $(a, 0)$ is, $y=-\frac{x}{m}+\frac{a}{m} \ldots(ii)$
Solving both lines (i) and (ii) $\Rightarrow x=0$
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