Home Maths JEE Main Full Syllabus Mock Test 75 Question New Syllabus. TEST 5 PCM There are exactly two points on the ellipse …
Maths JEE Main Full Syllabus Mock Test 75 Question New Syllabus. TEST 5 PCM Single Correct MCQ
Published on: August 13, 2026

There are exactly two points on the ellipse , whose distances from its centre are same and are equal to . Then, the eccentricity of the ellipse is

A
B

C
D

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Text Solution

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The correct answer is:
B

Since, there are exactly two points on the ellipse , whose distance from the centre is the same, the points would either be the endpoints of the major axis or of the minor axis.

But .

So, the points are the vertices of the major axis.

Hence,

On squaring both sides, we get

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