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Question
Mathematics
Multiplicative inverse of
Q. Multiplicative inverse of
62
152
Real Numbers
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A
a
+
2
a
B
a
−
2
a
2
C
a
2
a
−
2
D
a
−
2
a
Solution:
Cognitive Level: HM
Let
x
=
a
+
2
+
a
−
2
4
=
a
−
2
(
a
+
2
)
(
a
−
2
)
+
4
=
a
−
2
a
2
−
4
+
4
[
As
,
(
a
+
b
)
(
a
−
b
)
=
a
2
−
b
2
]
∴
x
=
a
−
2
a
2
Multiplicative inverse of
x
=
x
1
=
a
−
2
a
2
1
=
a
2
a
−
2