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the line y=x is a tangent at (0,0)to a circle with radius 1 , the its centre is???

the line y=x is a tangent at (0,0)to a circle with radius 1 , the its centre is???

Grade:12

1 Answers

Amit
405 Points
4 years ago
The line y=x is tangent at (0,0). Let the coordinates of centre be(h,k) hence h²+k²=1 because circle passes through origin. Also y=x is tangent and radius is perpendicular to tangent hence centre lies on y=-x or h=-k .. solve to get answer

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