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Manipal Entrance Test 2015 Math Paper
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© examsnet.com
Question : 60
Total: 70
The eccentricity of the conic
x
2
−
4
x
+
4
y
2
=
12
is
√
3
2
2
√
3
√
3
None of these
Validate
Solution:
We have,
x
2
−
4
x
+
4
y
2
=
12
⇒
(
x
−
2
)
2
+
4
(
y
−
0
)
2
=
8
⇒
(
x
−
2
)
2
(
2
√
2
)
2
+
(
y
−
0
)
2
(
√
2
)
=
1
which is an ellipse whose major and minor axes are
2
a
=
2
√
2
and
2
b
=
√
2
repectively.
∴ Its eccentricity e is given by
e
=
√
1
−
b
2
a
2
=
√
1
−
2
8
=
√
3
2
© examsnet.com
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