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CGPET 2017 Solved Paper
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Section:
Mathematics
© examsiri.com
Question :
127 of 150
Marks:
+1
,
-0
A
B
is a vertical pole. The end
A
is on the ground level.
C
is the middle point of
A
B
and
P
is a point on the ground level. The portion
B
C
subtends an angle
β
at
P
. If
A
P
=
n
A
B
, then
tan
‌
β
is equal to
n
2
n
2
+
1
n
n
2
+
1
n
n
+
1
None of these
Validate
Solution:
We have,
A
C
=
B
C
=
1
2
A
B
âˆ
B
P
C
=
β
A
P
=
n
A
B
Let,
âˆ
A
P
C
=
α
In
Δ
A
P
C
,
tan
‌
α
=
A
C
A
P
=
1
2
A
B
n
A
B
=
1
2
n
In
Δ
A
P
B
tan
(
α
+
β
)
=
A
B
A
P
=
A
B
n
A
B
=
1
n
∴
tan
(
α
+
β
−
α
)
=
tan
(
α
+
β
)
−
tan
‌
α
1
+
tan
(
α
+
β
)
‌
tan
‌
α
[
∵
tan
(
x
−
y
)
=
tan
‌
x
−
tan
‌
y
1
+
tan
‌
x
‌
tan
‌
y
]
⇒
tan
‌
β
=
1
n
−
1
2
n
1
+
(
1
n
)
(
1
2
n
)
⇒
tan
‌
β
=
n
2
n
2
+
1
© examsiri.com
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