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Byju's Answer
Standard XII
Mathematics
Conjugate of a Complex Number
Find the valu...
Question
Find the value of
y
+
z
given that:
3
x
+
2
y
+
2
z
=
19
and
3
x
+
y
+
z
=
14
A
−
5
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B
−
4
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C
0
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D
4
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E
5
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Solution
The correct option is
E
5
Let
3
x
+
2
y
+
2
z
=
19
....(i)
and
3
x
+
y
+
z
=
14
....(ii)
Subtracting equation (ii) from (i) gives us
(
3
x
+
2
y
+
2
z
)
−
(
3
x
+
y
+
z
)
=
19
−
14
y
+
z
=
5
Hence the required answer is
5
.
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0
Similar questions
Q.
3
x
+
2
y
+
2
z
=
19
3
x
+
y
+
z
=
14
If the equations above are true, which of the following is the value of
y
+
z
?
Q.
3x + y − 2z = 0
x + y + z = 0
x − 2y + z = 0
Q.
The projection of line
3
x
−
y
+
2
z
−
1
=
0
=
x
+
2
y
−
z
−
2
on the plane
3
x
+
2
y
+
z
=
0
is
Q.
Find the angle between the planes.
(i) 2x − y + z = 4 and x + y + 2z = 3
(ii) x + y − 2z = 3 and 2x − 2y + z = 5
(iii) x − y + z = 5 and x + 2y + z = 9
(iv) 2x − 3y + 4z = 1 and − x + y = 4
(v) 2x + y − 2z = 5 and 3x − 6y − 2z = 7
Q.
Angle between the lines
3
x
=
6
y
=
2
z
and
3
x
+
2
y
+
z
−
5
=
0
=
x
+
y
−
2
z
−
3
is?
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