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Byju's Answer
Standard XII
Mathematics
Orthocentre
The point of ...
Question
The point of intersection of
3
x
+
2
y
=
11
,
2
x
+
3
y
=
4
lies in
A
Q
1
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B
Q
2
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C
Q
3
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D
Q
4
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Solution
The correct option is
A
Q
1
3
x
+
2
y
=
11......
(
1
)
×
2
2
x
+
3
y
=
4
.
.
.
.
.
.
(
2
)
×
3
Subtract equation (2) from equation (1)
⇒
y
=
2
Putting
y
=
2
in (1)
3
x
+
2
y
=
11
⇒
3
x
+
2
×
2
=
11
⇒
3
x
=
11
−
4
⇒
x
=
7
3
So point of intersection is
(
7
3
,
2
)
Therefore intersection point lies in first quadrant
I.e
Q
1
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0
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