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Circles of radius 5 units intersects the circle {({x}-{1})}^{{
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Circles of radius 5 units intersects the circle in a such a way that the length of the common chord is of maximum length. If the slope of common chord is , then find the centre of the circle.

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Circles of radius 5 units intersects the circle in a such a way that the length of the common chord is of maximum length. If the slope of common chord is , then find the centre of the circle.
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Question Text
Circles of radius 5 units intersects the circle in a such a way that the length of the common chord is of maximum length. If the slope of common chord is , then find the centre of the circle.