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  4. Radius of the circle with centre (3,-1) and cutting a chord of length 6 on the line 2 x-5 y+18=0 is

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Q. Radius of the circle with centre $(3,-1)$ and cutting a chord of length 6 on the line $2 x-5 y+18=0$ is

Conic Sections

Solution:

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$p=\frac{6+5+18}{\sqrt{29}}=\sqrt{29}$
$r^2=p^2+3^2=38 \Rightarrow r=\sqrt{38}$