Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If line PQ whose equation is y = 2x + k is a normal to the parabola whose vertex is (–2, 3) and axis parallel to x- axis with latus rectum equal to 2 then the value of k is-
A
B
C
1
D
–1
Text Solution
Verified by ExpertsThe correct answer is:
C
4a = 2 ⇒ a = 
Vertex ≡ (–2, 3)
So parabola ≡ (y – 3) 2 = 2 (x + 2)
Equation of normal to parabola
(y – 3) = m(x + 2) – m – 
m 3 ⇒ y = mx + m + 3 – 
m
3 also given y = 2x + k
m = 2 and k = m + 3 – 
m
3 k = 2 + 3 – 
(2)
3 ⇒ k = 5 – 4 = 1
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