JEE Main 2017 — Ellipse Question with Solution
From: JEE Main 2017 (Online) 9th April Morning Slot
Question
The eccentricity of an ellipse having centre at the origin, axes along the co-ordinate
axes and passing through the points (4, −1) and (−2, 2) is :
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
Centre at (0, 0)
= 1
at point (4, 1)
= 1
16b2 + a2 = a2b2 . . . .(i)
at point ( 2, 2)
4b2 + 4a2 = a2b2 . . . .(ii)
16b2 + a2 = 4a2 + 4b2
From equations (i) and (ii)
3a2 = 12b2
a2 = 4b2
b2 = a2(1 e2)
e2 =
e =
= 1
at point (4, 1)
= 1
16b2 + a2 = a2b2 . . . .(i)
at point ( 2, 2)
4b2 + 4a2 = a2b2 . . . .(ii)
16b2 + a2 = 4a2 + 4b2
From equations (i) and (ii)
3a2 = 12b2
a2 = 4b2
b2 = a2(1 e2)
e2 =
e =
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