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Surds and Indices
1 + 1 + 1 =? 1 + x(b - a) + x(c - a) 1 + x(a - b) + x(c - b) 1 + x(b - c) + x(a - c)
0
1
xa - b - c
None of these
Correct Answer:
1
Explanation:
Given Exp. =
1
+
1
+
1
❨
1 +
x
b
+
x
c
❩
x
a
x
a
❨
1 +
x
a
+
x
c
❩
x
b
x
b
❨
1 +
x
b
+
x
a
❩
x
c
x
c
=
x
a
+
x
b
+
x
c
(
x
a
+
x
b
+
x
c
)
(
x
a
+
x
b
+
x
c
)
(
x
a
+
x
b
+
x
c
)
=
(
x
a
+
x
b
+
x
c
)
(
x
a
+
x
b
+
x
c
)
= 1.
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