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(D) Let the lengths of the segments of the focal chord be $l_1 = 5$ and $l_2 = 3$.For a parabola,the semi-latus rectum $L$ is the harmonic mean of the

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$\frac{15}{2}$

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(D) Let the lengths of the segments of the focal chord be $l_1 = 5$ and $l_2 = 3$.For a parabola,the semi-latus rectum $L$ is the harmonic mean of the segments of any focal chord.Thus,$L = \frac{2 l_1 l_2}{l_1 + l_2}$.Substituting the values,$L = \frac{2 	imes 5 	imes 3}{5 + 3} = \frac{30}{8} = \frac{15}{4}$.The length of the latus rectum is $2L$.Therefore,the length of the latus rectum $= 2 	imes \frac{15}{4} = \frac{15}{2}$ units.

If the focus of a parabola divides a focal chord of the parabola into segments of lengths $5$ and $3$ units,then the length of the latus rectum of that parabola is:

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