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KEAM 2018 Math Paper
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© examsnet.com
Question : 11
Total: 120
Eccentricity of the ellipse
4
x
2
+
y
2
−
8
x
+
4
y
−
8
=
0
is
√
3
2
√
3
4
√
3
√
2
√
3
8
√
3
16
Validate
Solution:
Equation
4
x
2
+
y
2
−
8
x
+
4
y
−
8
=
0
is an ellipse.
⇒
4
(
x
−
1
)
2
+
(
y
+
2
)
2
−
8
−
8
=
0
=
4
(
x
−
1
)
2
+
(
y
+
2
)
2
=
16
=
(
x
−
1
)
2
4
+
(
y
+
2
)
2
16
=
1
,
where
b
>
a
∴ Eccentricity
(
e
)
=
√
1
−
a
2
b
2
=
√
1
−
4
16
=
√
12
16
=
√
3
2
© examsnet.com
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