Home Maths Conic Sections JEE (Main) / AIEEE Problems Previous Year An ellipse is drawn by taking a diameter of …
Maths Conic Sections JEE (Main) / AIEEE Problems Previous Year Single Correct MCQ
Published on: August 13, 2026

An ellipse is drawn by taking a diameter of the circle (x – 1) 2 + y 2 = 1 as its semi-minor axis and a diameter of the circle x 2 + (y – 2) 2 = 4 is semi-major axis. If the centre of the ellipse is at the origin and its axes are the coordinate axes, then the equation of the ellipse is :

A
4x 2 + y 2 = 4
B
x 2 + 4y 2 = 8
C
4x 2 + y 2 = 8
D
x 2 + 4y 2 = 16

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The correct answer is:
D

⇒ Length of semi minor axis is = 2

Length of semi major axis is 4

then equation of ellipse is

+ = 1

x 2 + 4y 2 = 16

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