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Byju's Answer
Standard XII
Mathematics
Point Slope Form of a Line
Write a pair ...
Question
Write a pair of linear equations which has the unique solution
x
=
1
,
y
=
3
. How many such pairs can you write?
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Solution
We have
x
=
1
,
y
=
3
Hence, the equation in slope - point form,
y
−
3
=
m
(
x
−
1
)
Or,
y
=
m
x
+
(
3
−
m
)
Hence, for different values of
m
, many lines are possible.
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Q.
Write an equation of a line passing through the point representing the solution of the pair of linear equations
x
+
y
=
2
a
n
d
2
x
−
y
=
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. How many such lines can we find?
Q.
A pair of linear equations which has a unique solution
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