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AP EAPCET 08-Jul-2022 Shift 2 Paper
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© examsnet.com
Question : 29
Total: 160
If
a
,
b
be two non collinear vectors and the vector
a
+
b
bisects the angle between
a
and
b
, then
|
→
a
|
=
|
→
b
|
angle between
a
,
b
is
0
0
(or)
π
a
,
b
always form adjacent sides of a square.
a
,
b
always form adjacent sides of a rectangle.
Validate
Solution:
Here,
OA
=
|
a
|
OD
=
AC
=
|
b
|
In
△
ABC
,
AB
=
|
b
|
cos
2
θ
and
BC
=
|
b
|
s
i
n
2
θ
In
△
O
B
C
,
tan
θ
=
b
s
i
n
2
θ
a
+
b
cos
2
θ
2
b
tan
θ
a
(
1
+
tan
2
θ
)
+
b
(
1
−
tan
2
θ
)
⇒
[
a
+
b
+
(
a
−
b
)
tan
2
θ
−
2
b
]
tan
θ
=
0
⇒
(
a
−
b
)
(
1
+
tan
2
θ
)
tan
θ
=
0
⇒
(
a
−
b
)
s
e
c
2
θ
tan
θ
=
0
⇒
a
−
b
=
0
⇒
|
a
|
=
|
b
|
© examsnet.com
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