Question
Let the line y-x=1 intersect the ellipse x^ 2 2 + y^ 2 1 =1 at the points A and B. Then the angle made by the line segment AB at the center of the ellipse is :
JEE Main
Mathematics
Ellipse
2026
JEE Main 2026 (23 January Shift 1)
JEE Main Mathematics Question (2026) — Solution
Options
- A. 2 + ^ -1 ( 1 4 )
- B. 2 +2 ^ -1 ( 1 4 )
- C. 2 - ^ -1 ( 1 4 )
- D. - ^ -1 ( 1 4 )
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
Related: Mathematics — Ellipse · All PYQ Banks