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If the number of radical axis of a system of circles is same as number of radical centres, then what is the number of circles in that particular system.

If the number of radical axis of a system of circles is same as number of radical centres, then what is the number of circles in that particular system.

Grade:

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
7 years ago
Ans:
Hello Student,
Please find answer to your question below
For any system of the circles whose centres lie on the straight line, the number of radical axis will be equal to number of radical centres,
For example:
Consider two circles
Number of radical axis will be one & number of radical centre will be one.
Consider three circles whose centre lie on line
Number of radical axis will be two & number of radical centre will be two.
Consider ‘n’ circles whose centre lie on line
Number of radical axis will be ‘n-1’ & number of radical centre will be ‘n-1’.

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