Question

The latusrectum of a parabola whose focal chord is PSQ such that SP = 3 and SQ = 2 is given by

• A. 24/5
• B. 12/5
• C. 6/5
• D. 5/24

Answer 1

Answer: (A)

24/5

Answer 2

We know that = semi latusrectum)

∴ $\frac { 1 } { 3 } + \frac { 1 } { 2 } = \frac { 2 } { \ell } \Rightarrow \ell = 12 / 5$

∴ Length of latusrectum = 2$\ell$ = 24/5