the equation to the pair of their perpendicular to the pair 3xsquare - 4xy+ysquare =0 and passing throung 0 0
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ANSWER
Comparing given equation with ax
2
+2hxy+by
2
=0
a=3,h=−2,b=1
Now, Let m
1
and m
2
be the slope of the lines represented by 3x
2
−4xy+y
2
=0
m
1
+m
2
=
b
−2h
=
1
4
=4..................(1)
m
1
m
2
=
b
a
=−
1
3
=3..................(2)
Now, m
1
−m
2
=
(m
1
+m
2
)
2
−4m
1
m
2
=
4
2
−4×3
=2
Hence Proved
Step-by-step explanation:
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