Published by:
CGP EDU Academic Team
Published on: August 14, 2026
A line is drawn from A (–2, 0) to intersect the curve y 2 = 4x in P and Q in the first quadrant such that 
, then slope of the line is always-
A
< 
B
> 
C
≥ 
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
B
Let P (–2 + r cos θ , r sin θ ) and P lies on parabola
⇒ r 2 sin θ – 4(–2 + r cos θ ) = 0
⇒ r 1 + r 2 = 
¸ r 1 r 2 = 
∴ 
= 
⇒ cos θ ≠ 
⇒ tan θ > 
. (because cos θ is decreasing and tan θ is increasing in (0, π /2)).
⇒ m > 
Hence is correct answer.
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