question_answer

Determine the latusrectum of a parabola whose focal chord is PSQ such that\[SP=3\]and \[SQ=2\].

A)  \[\frac{24}{5}\]

B)  \[\frac{12}{5}\]

C)  \[\frac{6}{5}\]                

D)  None of these

Correct Answer: A

Solution :

 Given that \[SP=3\]       \[SQ=2\] Latusrectum = 2 (HM of SP and SQ ) \[=\frac{4.SP.SQ}{SP+SQ}\] \[=\frac{4.3.2}{5}\] \[=\frac{24}{5}\]