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Q.

Difference in values of the radius of a circle whose center is at the origin and which touches the circle x2+y2−6x−8y+21=0is ______.

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answer is 4.

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Detailed Solution

Let r be the radius of the required circle.Now, if two circles touch each other, thenDistance between their centers =|r±2|=5 (Given)∴ r=3,7
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