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JEE Main 25 June 2022 Shift 1 Solved Paper
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© examsnet.com
Question : 3
Total: 90
Let
a
,
b
and
c
be the length of sides of a triangle
ABC
such that
a
+
b
7
=
b
+
c
8
=
c
+
a
9
. If
r
and
R
are the radius of incircle and radius of circumcircle of the triangle
A
B
C
, respectively, then the value of
R
r
is equal to:
[25-Jun-2022-Shift-1]
5
2
2
3
2
1
Validate
Solution:
👈: Video Solution
a
+
b
7
=
b
+
c
8
=
c
+
a
9
=
λ
a
+
b
=
7
λ
b
+
c
=
8
λ
c
+
a
=
9
λ
a
+
b
+
c
=
12
λ
∴
a
=
4
λ
,
b
=
3
λ
,
c
=
5
λ
S
=
4
λ
+
3
λ
+
5
λ
2
=
6
λ
∆
=
√
S
(
s
−
a
)
(
s
−
b
)
(
s
−
c
)
=
√
(
6
λ
)
(
2
λ
)
(
3
λ
)
(
λ
)
=
6
λ
2
R
=
a
b
c
4
∆
=
(
4
λ
)
(
3
λ
)
(
5
λ
)
4
(
6
λ
2
)
=
5
2
λ
r
=
∆
s
=
6
λ
2
6
λ
=
λ
R
r
=
5
2
λ
λ
=
5
2
© examsnet.com
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