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Standard XII
Mathematics
Question
The equation
y
=
2
x
+
3
has
Unique solution
No solution
Only two solutions
Infinitely many solutions
A
Unique solution
B
No solution
C
Only two solutions
D
Infinitely many solutions
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Solution
Verified by Toppr
As can be seen, the line for
y
=
2
x
+
3
extends up to infinity all over the number line.
For
x
=
0
,
y
=
3
, For
x
=
1
,
y
=
5
, For
x
=
2
,
y
=
7
∴
For every value of
x
we get the different value of
y
Hence it will have infinitely many solutions.
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Similar Questions
Q1
The linear equation 3x
− 5y = has
(a) a unique solution
(b) two solutions
(c) infinitely many solutions
(d) no solution