1.
Find the value of sum of the slopes for pair of
lines x² + xy + y2 = 0.
6
Answers
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2
Answer:
Comparing given equation with ax
2
+2hxy+by
2
=0
a=1,h=−c,b=−7
Now, Let m
1
and m
2
be the slope of the lines represented by x
2
−2cxy−7y
2
=0
m
1
+m
2
=
b
−2h
=−
7
2c
..................(1)
m
1
m
2
=
b
a
=−
7
1
..................(2)
Now, m
1
+m
2
=4m
1
m
2
⇒−
7
2c
=4∗
7
−1
⇒c=2
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