Let P(3cosα, 2sinα), α≠0, be a point on the ellipse x²/9+y²/4=1, Q be a point on the circle...

Question

Let P(3cosα, 2sinα), α≠0, be a point on the ellipse x²/9+y²/4=1, Q be a point on the circle x²+y²−14x−14y+82=0 and R be a point on the line x+y=5 such that the centroid of the triangle PQR is (2+ , 3+ 23 ). Then the sum of the ordinates of all possible points R is:

Accepted Answer

(D)

JEE Main 2026 Mathematics question

Solution

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