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

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 (A) 4al + n = 0 (B) 4al + 4am + n = 0 (C) 4am + n = 0 (D) al + n = 0

Tardigrade Admin · Accepted Answer

Make homogeneous and put A + B = 0 y2 = 4ax((lx + my/-n)) ∴ 4al + n = 0

Q. If the segment intercepted by the parabola $y = 4 a x$ with the line $l x + m y + n = 0$ subtends a right angle at the vertex, then

$4 a l + n = 0$

$4 a l + 4 am + n = 0$

$4 am + n = 0$

$a l + n = 0$

Make homogeneous and put $A + B = 0$
$y^{2} = 4 a x (\frac{l x + m y}{- n})$
$∴ 4 a l + n = 0$

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

4al+n=0

4al+4am+n=0

4am+n=0

al+n=0