KVPY SX SB Exam 20141 Question Paper

Question : 6 of 120

Marks: +1, -0

In an ellipse, its foci and the ends of its major axis are equally spaced. If the length of its semi-minor axis is

2 √ 2

, then the length of its semi-major axis is

Solution:

A′S′ = SS′ = SA
2ae = a – ae
3ae = a

e = 1/3

1-b^2/a^2=1/9⇒b^2/a^2=8/9

⇒

8/a^2=8/9⇒a=3

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