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Byju's Answer
Standard XII
Mathematics
Major Axis of Ellipse
S and T are...
Question
S
and
T
are the foci of an ellipse and
B
is an end of the minor axis, if
△
S
T
B
is equilateral, then
e
is equals to:
A
1
4
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B
1
3
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C
1
2
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D
None of these
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Solution
The correct option is
B
1
2
tan
60
0
=
O
B
O
S
⇒
√
3
=
−
b
a
e
⇒
b
a
=
e
√
3
Now,
e
2
=
1
−
b
2
a
2
⇒
e
2
=
1
−
3
e
2
Now
4
e
2
=
1
⇒
e
=
1
2
Suggest Corrections
0
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