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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 : 96
Total: 100
If the pair of straight lines
x
2
−
2
p
x
y
−
y
2
=
0
and
x
2
−
2
q
x
y
−
y
2
=
0
be such that each pair bisects the angle between the other pair, then
[2003]
p
q
=
−
1
p
=
q
p
=
−
q
p
q
=
1
.
Validate
Solution:
Equation of bisectors of second pair of straight lines is,
q
x
2
+
2
x
y
−
q
y
2
=
0
. . . (i)
It must be identical to the first pair
.
.
.
.
x
2
−
2
p
x
y
−
y
2
=
0
. . . (ii)
from (i) and (ii)
q
1
=
2
−
2
p
=
−
q
−
1
⇒
p
q
=
−
1
© examsnet.com
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