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JEE Mains 10-Apr-2023 Shift 2 Solved Paper
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© examsnet.com
Question : 7
Total: 90
Let
A
be the point
(
1
,
2
)
and
B
be any point onthe curve
x
2
+
y
2
=
16
. If the centre of the locus of the point
P
, which divides the line segment
A
B
in the ratio
3
:
2
is the point
C
(
α
,
β
)
then the length of the line segment
AC
is
[10-Apr-2023 shift 2]
6
√
5
5
2
√
5
5
3
√
5
5
4
√
5
5
Validate
Solution:
12
cos
θ
+
2
5
=
h
⇒
12
cos
θ
=
5
h
−
2
sq & add
144
=
(
5
h
−
2
)
2
+
(
5
k
−
4
)
2
(
x
−
2
5
)
2
+
(
y
−
4
5
)
2
=
144
25
Centre
≡
(
2
5
,
4
5
)
≡
(
α
,
β
)
A
C
=
√
(
1
−
2
5
)
2
+
(
2
−
4
5
)
2
=
√
9
25
+
36
25
=
√
45
5
=
3
√
5
5
© examsnet.com
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