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The tangents to the parabola y^2=4ax mak...

The tangents to the parabola `y^2=4ax` make angle `theta_1` and `theta_2`with X-axis . Find the locus of their point of intersection , if `cottheta_1+cottheta_2=c`.

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The correct Answer is:
`m_(1) = m _(2) =2 => 4 = (m_(1) + m_(2)) ^(2) = 4m_(1) m _(2) => y ^(2) = 4x (a +x)`
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