QJEEM20Mab167: JEE Main 2020 Mathematics - Class 11 JEEM20Mab167 Solution: Let the latus ractum of the parabola y 2 = 4x be the common…

Question

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Let the latus ractum of the parabola y² = 4x be the common chord to the circles C₁ and C₂ each of them having radius 2

\sqrt{5}

. Then, the distance between the centres of the circles C₁ and C₂ is :

Accepted Answer

For parabola y² = 4x,

Length of latus rectum = 4a = 4

C₁C₂ = 2(C₁A)

C₁A =

\sqrt{{(2 \sqrt{5})}^{2} - 2^{2}} = 4

∴

C₁C₂ = 2(4) = 8

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