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Length of Intercept Made by a Circle on a Straight Line

lf S1=0, S2...

Question

lf $S_{1} = 0, S_{2} = 0$ and $S_{3} = 0$ are the three circles whose radical centre is the point $P$ , then the lengths $l_{1}, l_{2}, l_{3}$ of the tangent from $P$ to the three circles are such that

A

l_{1} = 21_{2} = 3 l_{3}

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B

l_{1} = l_{2} = l_{3}

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C

l_{1} \neq l_{2} \neq l_{3}

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D

l_{1} = l_{2} \neq l_{3}

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Solution

The correct option is B $l_{1} = l_{2} = l_{3}$
By property of radical centre.
length of tangents from radical centre to all three circles is
equal.
$∴ l_{1} = l_{2} = l_{3}$

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Length of Intercept Made by a Circle on a Straight Line

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