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JEE Main Math Class 11 Coordinate Geometry Part 5 Questions
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© examsnet.com
Question : 7
Total: 100
Let
f
(
x
)
=
x
2
+
9
,
g
(
x
)
=
x
x
−
9
and
a
=
fog
(
10
)
,
b
=
gof
(
3
)
. If
e
and 1 denote the eccentricity and the length of the latus rectum of the ellipse
x
2
a
+
y
2
b
=
1
, then
8
e
2
+
1
2
is equal to.
[9 Apr 2024 Shift 1]
16
8
6
12
Validate
Solution:
👈: Video Solution
f
(
x
)
=
x
2
+
9
g
(
x
)
=
x
x
−
9
a
=
f
(
g
(
10
)
)
=
f
(
10
10
−
9
)
=
f
(
10
)
=
109
b
=
g
(
f
(
3
)
)
=
g
(
9
+
9
)
=
g
(
18
)
=
18
9
=
2
E
:
x
2
109
+
y
2
2
=
1
e
2
=
1
−
2
109
=
107
109
ℓ
=
2
(
2
)
√
109
=
4
√
109
8
e
2
+
ℓ
2
=
8
(
107
)
109
+
16
109
=
8
© examsnet.com
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