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Q.

Let the latus rectum of the parabola $y^{2} = 4 x$ 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 circle C₁ and C₂

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a

8

b

$8 \sqrt{5}$

c

12

d

4

answer is B.

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Detailed Solution

$2 \sqrt{r^{2} - (S L)^{2}}$ (where SL = semi latus rectum length)
$= 2 \sqrt{20 - 4} = 8$

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