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Byju's Answer
Standard XII
Mathematics
Absolute Value Function
x1 , x2 , x3 ...
Question
x
1
,
x
2
,
x
3
,
.
.
.
.
.
.
.
.
,
x
10
are integers, none of which are divisible by
3
. The remainder when
x
2
1
+
x
2
2
+
x
2
3
+
.
.
.
.
.
.
+
x
2
10
is divided by
3
is:
A
0
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B
0
or
2
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C
1
or
2
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D
1
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Solution
The correct option is
D
1
Suggest Corrections
0
Similar questions
Q.
The remainder when the polynomial
1
+
x
2
+
x
4
+
x
6
+
…
.
+
x
22
is divided by
1
+
x
+
x
2
+
x
3
+
…
.
+
x
11
is
Q.
The least value of
x
2
1
+
x
2
2
+
x
2
3
where
x
1
,
x
2
,
x
3
are real numbers satisfying
x
1
+
2
x
2
+
3
x
3
=
4
is
Q.
x
1
,
x
2
,
x
3
,
.
.
.
.
are in A.P.
If
x
1
+
x
7
+
x
10
=
−
6
and
x
3
+
x
8
+
x
12
=
−
11
, then
x
3
+
x
8
+
x
22
=
?
Q.
Let
x
1
,
x
2
,
x
3
b
e
3
roots of the cubic
x
3
−
x
−
1
=
0
then the expression
x
1
(
x
2
−
x
3
)
2
+
x
2
(
x
3
−
x
1
)
2
+
x
3
(
x
1
−
x
2
)
2
equal a rational number. Find the absolute value of the number.
Q.
If
x
1
,
x
2
,
.
.
.
.
x
n
are
n
non-zero real numbers such that
(
x
2
1
+
x
2
2
+
x
2
3
+
.
.
.
.
.
x
2
n
+
1
)
(
x
2
2
+
x
2
3
+
x
2
4
+
.
.
.
.
x
2
n
)
≤
(
x
1
x
2
+
x
2
x
3
+
.
.
.
.
x
n
−
1
x
n
)
2
then prove that
x
1
,
x
2
,
.
x
n
are in
G
.
P
.
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