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Question

In ellipse having foci (3,1),(1,1) and passing through the point (1,3) has the eccentricity equals to:

A
21
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B
2+1
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C
12
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D
None of these
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Solution

The correct option is A 21

DistanceS1P:d1=(11)2+(31)2=2DistanceS2P:d2=(31)2+(13)2=22DistanceS1S2:D=(13)2+(11)2=2

Weknow,d1+d2=2a

Or,a=2+1

And,D=2ae

Or,e=12+1=21

Option [A]

820944_263564_ans_b1105c6723ca4f21a70a8a9af9a890da.png

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