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RRB Junior Engineer Stage 1 Model Papers 4
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© examsnet.com
Question : 26
Total: 99
If
a
+
b
+
c
=
3
,
a
2
+
b
2
+
c
2
=
6
and
1
a
+
1
b
+
1
c
=
1
, where a, b, c are all non-zero, then 'abc' is equal to
2
3
3
2
1
2
1
3
Validate
Solution:
a
+
b
+
c
=
3
Squaring both sides
a
2
+
b
2
+
c
2
+
2
(
a
b
+
b
c
+
a
c
)
=
9
6
+
2
(
a
b
+
b
c
+
c
a
)
=
9
a
b
+
b
c
+
c
a
=
3
2
....(1)
given
1
a
+
1
b
+
1
c
=
1
⇒
a
b
+
b
c
+
a
c
=
a
b
c
=
3
2
[from (1) ]
© examsnet.com
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