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CGP EDU Academic Team
Published on: August 14, 2026
Consider the family of circles x2 + y2 = r2;2 < r < 5. If in the first quadrant, the common tangent to a circle of this family and the ellipse 4x2 + 25y2 = 100 meets the coordinate axes at A and B, then find the equation of the locus of the mid point of AB.
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25y 2 + 4x 2 = 4x 2 y 2
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