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JEE Main Math Class 11 Straight Lines and Pair of Straight Lines 2 Questions
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© examsnet.com
Question : 35
Total: 88
Let the equations of two adjacent sides of a parallelogram
A
B
C
D
be
2
x
−
3
y
=
−
23
and
5
x
+
4
y
=
23
. If the equation of its one diagonal
A
C
is
3
x
+
7
y
=
23
and the distance of A from the other diagonal is
d
, then
50
d
2
is equal to _______.
[10-Apr-2023 shift 2]
Your Answer:
Validate
Solution:
A & C point will be
(
−
4
,
5
)
&
(
3
,
2
)
mid point of
AC
will be
(
−
1
2
,
7
2
)
equation of diagonal BD is
y
−
7
2
=
7
2
−
1
2
(
x
+
1
2
)
⇒
7
x
+
y
=
0
Distance of A from diagonal BD
=
d
=
23
√
50
⇒
50
d
2
=
(
23
)
2
50
d
2
=
529
© examsnet.com
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