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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.

Grade:10

## 1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
6 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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