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BITSAT 2017 Slot 2 Solved Paper
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© examsnet.com
Question : 107
Total: 150
If
z
=
a
+
i
b
satisfies
arg
(
z
−
1
)
=
arg
(
z
+
3
i
)
, then
(
a
−
1
)
:
b
=
2
:
1
1
:
3
−
1
:
3
None of these
Validate
Solution:
We have,
arg
(
z
−
1
)
=
arg
(
z
+
3
i
)
⇒
arg
(
(
a
−
1
)
+
i
b
)
=
arg
(
a
+
(
b
+
3
)
i
)
⇒
tan
−
1
(
b
a
−
1
)
=
tan
−
1
(
b
+
3
a
)
⇒
b
a
−
1
=
b
+
3
a
⇒
a
b
=
(
a
−
1
)
(
b
+
3
)
⇒
3
(
a
−
1
)
=
b
⇒
(
a
−
1
)
:
b
=
1
:
3
© examsnet.com
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