The latusrectum of the parabola $y^{2} = 4ax$, whose focal chord is $PS\mathcal{Q},$ such that $SP = 3$ and $S\mathcal{Q} = 2$ is given by

Question

Dr. Abubacker · Accepted Answer

(a)
Since, the semi latusrectum of a parabola is the HM of segments of a focal chord.
$	herefore Semilatusrectum = \frac{2SP\ .S\mathcal{Q}}{SP + S\mathcal{Q}\ }$
$= \frac{2 	imes 3 	imes 2}{3 + 2} = \frac{12}{5}$
$	herefore$ Latusrectum of the parabola$= \frac{24}{5}$

Q. The latusrectum of the parabola $y^{2} = 4ax$, whose focal chord is $PS\mathcal{Q},$ such that $SP = 3$ and $S\mathcal{Q} = 2$ is given by

Explanation

Reviewed by Dr. Abubacker

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