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AP EAPCET 08-Jul-2022 Shift 2 Paper
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© examsnet.com
Question : 55
Total: 160
Statement 1: The eccentricity of the hyperbola
9
x
2
−
16
y
2
−
72
x
+
96
y
−
144
=
0
is
5
4
Statement 2: The eccentricity of the hyperbola
x
2
a
2
−
y
2
b
2
=
1
is
√
1
+
b
2
a
2
Statement 1 is true, Statement 2 is true; Statement 2 is correct explanation for Statement
1
.
Both statements are true and statement 2 is not the correct explanation of statement 1 .
Statement 1 is false; Statement 2 is true.
Statement 1 is true; Statement 2 is false.
Validate
Solution:
👈: Video Solution
9
x
2
−
16
y
2
−
72
x
+
96
y
−
144
=
0
⇒
9
(
x
2
−
8
x
)
−
16
(
y
2
−
6
y
)
−
144
=
0
⇒
9
(
x
2
−
8
x
+
16
)
−
16
(
y
2
−
6
y
+
9
)
−
144
−
144
+
144
=
0
⇒
9
(
x
−
4
)
2
−
16
(
y
−
3
)
2
=
144
⇒
(
x
−
4
)
2
4
2
−
(
y
−
3
)
2
3
2
=
1
Here,
a
=
4
,
b
=
3
e
=
√
1
+
b
2
a
2
=
√
1
+
9
16
=
5
4
∴
Statement I and statement II are true and statement II is a correct explanation for Statement I.
© examsnet.com
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