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VITEEE 2019 Solved Paper
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© examsnet.com
Question : 82
Total: 125
iF
z
=
x
+
i
y
,
z
1
∕
3
=
a
−
i
b
,
then
x
a
−
y
b
=
k
(
a
2
−
b
2
)
where k is equal to
1
2
3
4
Validate
Solution:
z
1
∕
3
=
a
−
i
b
⇒
z
=
(
a
−
i
b
)
3
∴
x
+
i
y
=
a
3
+
i
b
3
−
3
i
a
2
b
−
3
a
b
2
Then,
x
=
a
3
−
3
a
b
2
⇒
x
a
=
a
2
−
3
b
2
y
=
b
3
−
3
a
2
b
⇒
y
b
=
b
2
−
3
a
2
So,
x
a
−
y
b
=
4
(
a
2
−
b
2
)
© examsnet.com
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