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JEE Main 2022 Mathematics question

MathematicsEllipseJEE Main 2022

The locus of the mid-point of the line segment joining the point (4, 3) and the points on the ellipse is an ellipse with eccentricity :

Answer: (3)

Solution

A point on the ellipse is , ). The mid-point (h, k) of PQ with Q(4, 3) has + 4)/2 and + 3)/2, so

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Question ID VK-025265