The line ax + by + c = 0 is a normal to the c | vedclass

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(C) normal to a circle is a line that passes through the center of the circle.Since the given line $ax + by + c = 0$ is a normal to the circle $x^2 +

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$2r$

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(C) normal to a circle is a line that passes through the center of the circle.Since the given line $ax + by + c = 0$ is a normal to the circle $x^2 + y^2 = r^2$,it must pass through the center of the circle,which is $(0, 0)$.Any line passing through the center of a circle is a diameter of that circle.The length of the diameter of a circle with radius $r$ is $2r$.Therefore,the length of the portion of the line intercepted by the circle is $2r$.

The line $ax + by + c = 0$ is a normal to the circle $x^2 + y^2 = r^2$. The portion of the line $ax + by + c = 0$ intercepted by this circle is of length:

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