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Find the equation of the circle which is touched by {y}={x}, h
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Find the equation of the circle which is touched by , has its centre on the positive direction of the x-axis and cuts off a chord of length 2 units along the line .

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Consider the family of circles passing through two fixed points A and B . Also, is a cricle of this family, the tangent to which at A and B intersect on the line .
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Question 2
The length of a common internal tangnet to two circles is 7 and that of a common external tangent is 11. Then the product of the radii of the two circles is \displaystyle\text{______________}

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Question Text
Find the equation of the circle which is touched by , has its centre on the positive direction of the x-axis and cuts off a chord of length 2 units along the line .