Let C be the circle x2+(y−1)2=2,E1 and E2 be two ellipses whose centres lie at the origin and major axes lie on x -axis and y -axis respectively. Let the straight line x+y=3 touch the curves C, E1 and E2 at P(x1,y1),Q(x2,y2) and R(x3,y3) respectively. Given that P is the mid-point of the line segment QR and PQ=322, the value of 9(x1y1+x2y2+x3y3) is equal to ______ .
Held on 4 Apr 2025 · Verified 6 Jul 2026.
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