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Question
Mathematics
If |a|=6,|b|=8,|a-b|=10, then |a+b| is equal to:
Q. If
∣
a
∣
=
6
,
∣
b
∣
=
8
,
∣
a
−
b
∣
=
10
,
then
∣
a
+
b
∣
is equal to:
4950
221
KEAM
KEAM 2001
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A
10
B
24
C
40
D
36
E
20
Solution:
∵
∣
a
−
b
∣
2
=
a
2
+
b
2
−
2
a
.
b
⇒
100
=
36
+
64
−
2
a
.
b
⇒
a
.
b
=
0
∴
∣
a
+
b
∣
2
=
a
2
+
b
2
+
2
a
.
b
=
36
+
64
+
0
=
100
⇒
∣
a
+
b
∣
=
10