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If a circle S ( x, y) = 0 touches at the point (2, 3) of the line x + y = 5 and (1,2) = 0, then radius of such circle.

If a circle S ( x, y) = 0 touches at the point (2, 3) of the line x + y = 5 and (1,2) = 0, then radius of such circle.


 


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Grade:10

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
9 years ago
Ans:
I am assuming (1, 2) of x + y = 3;
Since both lines are parallel & tangent to circle, so circle must be between them.
Diameter of circle is:
\sqrt{(2-1)^{2}+(3-2)^{2}} = \sqrt{2}
Radius:
\frac{1}{\sqrt{2}}
Thanks & Regards
Jitender Singh
IIT Delhi
askIITians Faculty

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