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JEE Mains 8-Apr-2023 Shift 1 Solved Paper
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© examsnet.com
Question : 4
Total: 90
Let
C
(
α
,
β
)
be the circumcenter of the triangle formed by the lines
4
x
+
3
y
=
69
4
y
−
3
x
=
17
and
x
+
7
y
=
61
Then
(
α
−
β
)
2
+
α
+
β
is equal to
[8-Apr-2023 shift 1]
18
15
16
17
Validate
Solution:
−
3
x
+
4
y
=
17
3
x
+
21
y
=
183
25
y
=
200
y
=
8
,
x
=
5
B
(
5
,
8
)
∴
Circumcenter
α
=
17
2
β
=
15
2
(
17
2
,
15
2
)
(
α
−
β
)
2
+
α
+
β
1
+
16
=
17
© examsnet.com
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