dertermine the relation between the coefficients for which the pair ax+by=c; lx+my=n has unique solution
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Answers
Answered by
2
The given equations are ax+by=c
or ax+by−c=0 and
lx+my=n
or lx+my−n=0.
The equations have a unique solution.
So,
a
2
a
1
=
b
2
b
1
Here a
1
=a,a
2
=l,b
1
=b,b
2
=m,c
1
=−c,c
2
=−n
∴
a
2
a
1
=
l
a
,
b
2
b
1
=
m
b
.
∴
l
a
=
m
b
⇒am
=bl.
This is the required condition.
Answered by
4
Answer:
Correct option is
B
am
=bl
The given equations are ax+by=c
or ax+by−c=0 and
lx+my=n
or lx+my−n=0.
The equations have a unique solution.
So,
a
2
a
1
=
b
2
b
1
Here a
1
=a,a
2
=l,b
1
=b,b
2
=m,c
1
=−c,c
2
=−n
∴
a
2
a
1
=
l
a
,
b
2
b
1
=
m
b
.
∴
l
a
=
m
b
⇒am
=bl.
This is the required condition.
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