Question:

Let the latus ractum of the parabola $y^{2}=4x$ be the common chord to the circles $C _{1}$ and $C _{2}$ each of them having radius $2 \sqrt{5}$ . Then, the distance between the centres of the circles $C _{1}$ and $C _{2}$ is:

Updated On: Feb 14, 2025

$8$
$4 \sqrt{5}$
$12$
$8 \sqrt{5}$

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The Correct Option is A

Solution and Explanation

Length of latus rectum = 4

DB =2

C _{1} B =\sqrt{\left( C _{1} D \right)^{2}-( DB )^{2}}=4

C _{1} C _{2}=8

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