Conic Sections Question 223

Question: If the segment intercepted by the parabola $ y=4ax $ with the line $ lx+my+n=0 $ subtends a right angle at the vertex, then

Options:

A) $ 4al+n=0 $

B) $ 4al+4am+n=0 $

C) $ 4am+n=0 $

D) $ al+n=0 $

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Make homogeneous and put A+B=0 $ y^{2}=4ax( \frac{lx+my}{-n} ) $
$ \therefore 4al+n=0 $