JEE Main · 2026 · 23 Jan 2026 · Shift 2 · Ellipse

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If the points of intersection of the ellipses and lie on a circle of radius r and centre , then the value of is
  1. (A)53
  2. (B)51
  3. (C)52
  4. (D)55✓ Correct

Answer: (D)

Solution

Any conic through the common points is . For a circle the coefficients of and must agree: , so . Then , i.e. . The centre is , so and , and . Therefore .

JEE Main · 2026 · 23 Jan 2026 · Shift 2 · Single correct option

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