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Question: If the segment intercepted by the parabola y<sup>2</sup> = 4ax with the line lx + my + n = 0 subtend...

If the segment intercepted by the parabola y2 = 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

Answer

4al + n = 0

Explanation

Solution

y2 = 4ax (1)

y2 = 4ax

ny2 = – 4alx2 – 4amxy

4alx2 + ny2 + 4a mxy = 0

coeff. of x2 + coeff. of y2 = 0

4al + n = 0