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Consider the family of circles x^2 + y^2...

Consider the family of circles `x^2 + y^2= r^2` `2 lt r lt 5`. If in the first quadrant, the common tangent to a circle of this family and the ellipse`frac{x^(2)}{25} +frac{y^(2)}{4} =1` meets the axes at A and B then find the equation of the locus of middle point of AB.

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A DAS GUPTA-Miscellaneous Exercises-Exercise
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