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The line a x+...

Question

The line $a x + b y + c = 0$ is a normal to the circle $x^{2} + y^{2} = 25.$ The portion of the line $a x + b y + c = 0$ intercepted by this circle is of length

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Solution

For the circle $x^{2} + y^{2} = r^{2},$ the length of intercepted part is diameter i.e., $2 r .$
So, in this case length is $10.$

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