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  4. Let the latus ractum of the parabola y2=4x be the common chord to the circles C 1 and C 2 each of them having radius 2 √5. Then, the distance between the centres of the circles C 1 and C 2 is:

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Q. 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:

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Solution:

Length of latus rectum = 4
image
$DB =2$
$C _{1} B =\sqrt{\left( C _{1} D \right)^{2}-( DB )^{2}}=4$
$C _{1} C _{2}=8$