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Byju's Answer
Standard XII
Mathematics
Finite Set
The number of...
Question
The number of elements in the power set of the set
{
(
a
,
b
)
:
a
2
+
b
2
=
7
,
a
,
b
∈
Z
}
is
A
2
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B
1
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C
4
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D
6
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Solution
The correct option is
B
1
Clearly,
a
2
+
b
2
≠
7
for any
a
,
b
∈
Z
∴
Given set has no elements.
Hence, the number of elements in power set
=
2
0
=
1
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0
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The number of elements in the power set of the set
{
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:
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,
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The number of elements in the set
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