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Let there be $n (\geq 3)$ circles. The value of n for which the number of radical axis of these circles is same as the number of radical centres, is

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Correct option is C

Since a radical axis is generated by two circles and a radical centre is obtained from three circles. Therefore, Number of radical axes =nC2,Number of radical centres =nC3, It is given that nC2=nC3⇒n=5.

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Let there be n (≥ 3) circles. The value of n for which the number of radical axis of these circles is same as the number of radical centres, is

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Let there be $n (\geq 3)$ circles. The value of n for which the number of radical axis of these circles is same as the number of radical centres, is