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JEE Main202623 January 2026Morning ShiftMathematicsEllipseActual

Let the line y-x=1 intersect the ellipse x² 2 + y² 1 =1 at the points A and B. Then the angle made by the line segment AB at the center of the ellipse is :

Options

  1. A2 + ⁻¹ ( 1 4 )
  2. B2 +2 ⁻¹ ( 1 4 )
  3. C2 - ⁻¹ ( 1 4 )
  4. D- ⁻¹ ( 1 4 )

Correct answer

A. 2 + ⁻¹ ( 1 4 )

Step-by-step solution

By solving line & equation of ellipse we get x = 0 & x = - 4 3 B (- 4 3 , - 1 3 ) m_ OB = = 1 4 AOB = 2 + = 2 + ⁻¹ 1 4

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