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JEE Advanced 2020 Concept Recapitulation Test 2 Paper 2
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© examsnet.com
Question : 54
Total: 54
If in a
△
A
B
C
,
B
C
=
5
,
C
A
=
4
,
A
B
=
3
and
D
,
E
are the points on
B
C
such
B
D
=
D
E
=
E
C
then
2
tan
θ
is
Your Answer:
Validate
Solution:
In
∆
C
A
E
,
A
E
2
=
A
C
2
+
C
E
2
−
2
A
C
⋅
C
E
cos
C
=
73
9
Also, in
∆
C
A
E
cos
θ
=
A
C
2
+
A
E
2
+
C
E
2
2
⋅
A
C
⋅
A
E
=
8
√
73
⇒
tan
θ
=
3
8
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