The given circle x 2 + y 2 + 2 p x = 0 , p ∈ R touches the parabola y 2 = 4 x externally, then

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MathematicsParabolaMiscellaneous/MixedMedium2 minQB

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The given circle $x^{2} + y^{2} + 2 p x = 0, p \in R$ touches the parabola $y^{2} = 4 x$ externally, then

Answer:

Solution:

Centre of the circle is (- p, 0), If it touches the parabola, then according to figure only one case is possible.

Hence $p > 0$

Stream:JEESubject:MathematicsTopic:ParabolaSubtopic:Miscellaneous/Mixed

⏱ 2mℹ️ Source: QB

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