Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If the line y – 
x + 3 = 0 cuts the parabola y 2 = x + 2 at A and B, and if P ≡ ≡ ( 
, 0), then PA.PB is equal to
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
D
We may write y – 
x + 3 = 0 as 
. ...(i)
Substituting x = 
in y 2 = x + 2, we get
⇒ ⇒ 3r 2 - 2r – (4 
+ 8) = 0
⇒ ⇒ PA . PB = |r 1 . r 2 | = 
= 
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