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Question

Mathematics Question on Circle

Two circles having radius r1r_1 and r2r_2 touch both the coordinate axes. Line x+y=2x+y=2 makes intercept 2 on both the circles. The value of r12+r22r1r2r_{1}^{2} + r_{2}^{2} - r_{1}r_{2} is:

A

92\frac{9}{2}

B

6

C

7

D

8

Answer

7

Explanation

Solution

The correct option is (C): 7

the coordinate axes