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JEE Mains 10-Apr-2023 Shift 2 Solved Paper
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© examsnet.com
Question : 17
Total: 90
Let a circle of radius 4 be concentric to the ellipse
15
x
2
+
19
y
2
=
285
. Then the common tangents are inclined to the minor axis ofthe ellipse at the angle.
[10-Apr-2023 shift 2]
π
6
π
12
π
3
π
4
Validate
Solution:
x
2
19
+
y
2
15
=
1
Let tang be
y
=
m
x
±
√
19
m
2
+
15
m
x
−
y
±
√
19
m
2
+
15
=
0
Parallel from
(
0
,
0
)
=
4
|
±
√
19
m
2
+
15
√
m
2
+
1
|
=
4
19
m
2
+
15
=
16
m
2
+
16
3
m
2
=
1
m
=
±
1
√
3
θ
=
π
6
with x-axis
Required angle
π
3
.
© examsnet.com
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