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Byju's Answer
Standard VIII
Mathematics
Addition and Subtraction of Algebraic Expression
If x+y+z=0,...
Question
If
x
+
y
+
z
=
0
, then value of
(
x
+
y
)
(
y
+
z
)
(
z
+
x
)
x
y
z
+
11
is ?
A
x
+
11
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B
y
+
11
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C
z
+
11
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D
10
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Solution
The correct option is
C
10
x
+
y
+
z
=
0
⟺
x
+
y
=
−
z
⟺
y
+
z
=
−
x
⟺
z
+
x
=
−
y
Substituting the above in the expression given:
(
−
z
)
(
−
x
)
(
−
y
)
x
y
z
+
11
=
−
1
+
11
=
10
Suggest Corrections
0
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If
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If
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y
)
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y
+
z
)
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z
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)
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z
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Q.
If
(
x
+
y
+
z
=
0
)
, then what is
(
x
+
y
)
(
y
+
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)
(
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)
equal to?
Q.
If
(
x
,
y
,
z
)
be an arbitrary point lying on a plane
P
which passes through the points
(
42
,
0
,
0
)
,
(
0
,
42
,
0
)
and
(
0
,
0
,
42
)
,
then the value of the expression
3
+
x
−
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(
y
−
19
)
2
(
z
−
12
)
2
+
y
−
19
(
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)
2
(
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12
)
2
+
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12
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x
−
11
)
2
(
y
−
19
)
2
−
x
+
y
+
z
14
(
x
−
11
)
(
y
−
19
)
(
z
−
12
)
is equal to :
Q.
If x+y+z=6, xy+xz+yz=11, xyz=6 then
equals
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