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Standard XII
Mathematics
Question
If
x
+
i
y
=
√
(
a
+
i
b
)
/
(
c
+
i
d
)
, then
(
x
2
+
y
2
)
2
=
(
a
2
+
b
2
)
/
(
c
2
+
d
2
)
. If this is true enter 1, else enter 0.
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Solution
Verified by Toppr
x
+
i
y
=
√
(
a
+
i
b
)
/
(
c
+
i
d
)
by taking modulus
|
x
+
i
y
|
=
√
∣
∣
∣
a
+
i
b
c
+
i
d
∣
∣
∣
√
x
2
+
y
2
=
⎷
√
a
2
+
b
2
c
2
+
d
2
⇒
x
2
+
y
2
=
√
a
2
+
b
2
c
2
+
d
2
⇒
(
x
2
+
y
2
)
2
=
a
2
+
b
2
c
2
+
d
2
Ans: 1
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2
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Q1
If
x
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i
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(
a
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/
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, then
(
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y
2
)
2
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+
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)
/
(
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+
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. If this is true enter 1, else enter 0.
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