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Test Index
JEE Main Math Class 11 Straight Lines and Pair of Straight Lines 1 Questions
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© examsnet.com
Question : 30
Total: 100
Two sides of a parallelogram are along the lines,
x
+
y
=
3
and
x
−
y
+
3
=
0
.
If its diagonals intersect at
(
2
,
4
)
,
then one of its vertex is:
[Jan. 10, 2019 (II)]
(3,5)
(2,1)
(2,6)
(3,6)
Validate
Solution:
Since,
x
−
y
+
3
=
0
and
x
+
y
=
3
are perpendicular lines and intersection point of
x
−
y
+
3
=
0
and
x
+
y
=
3
is
P
(
0
,
3
)
.
⇒
M
is mid-point of
P
R
⇒
R
(
4
,
5
)
Let
S
(
x
1
,
x
1
+
3
)
and
Q
(
x
2
,
3
−
x
2
)
M
is mid-point of
S
Q
⇒
x
1
+
x
2
=
4
,
x
1
+
3
+
3
−
x
2
=
8
⇒
x
1
=
3
,
x
2
=
1
Then, the vertex
D
is (3,6)
© examsnet.com
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