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CGP EDU Academic Team
Published on: August 13, 2026
The circle x 2 + y 2 + 2 λ x = 0, λ∈ R touches the parabola
y 2 = 4x externally, then -
Text Solution
Verified by ExpertsThe correct answer is:
A
Given equations x 2 + y 2 + 2 λ x = 0,
y 2 = 4x centre of circle is (– λ , 0) and radius is
= λ .
Clearly the circle will touch the parabola exterenally if centre of circle lies on –ve x axis i.e. λ > 0.
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