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CGP EDU Academic Team
Published on: August 14, 2026
R is a point inside the parabola y 2 = 4x and it divide the line segment PQ internally in λ : 1. If P is (1, 3) and Q is (1, 1), then the range of λ is
Text Solution
Verified by ExpertsThe correct answer is:
A
R 
δ 1 < 0 ⇒ 
– 4 < 0
⇒ λ 2 + 6 λ + 9 – 4 λ 2 – 8 λ – 4 < 0 ( λ ≠ –1)
⇒ 3 λ 2 + 2 λ – 5 > 0
⇒ ( 3 λ + 5) ( λ – 1) > 0
⇒ λ ∈ (– ∞ , –5/3) ∪ (1, ∞ )
but λ > 0 ∴ λ > 1
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