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Byju's Answer
Standard X
Mathematics
General Form of a Pair of Linear Equations in Two Variables
If a point 1,...
Question
If a point
(
1
,
2
)
lies on the line represented by the equation
3
y
=
a
x
+
7
,
then the value of
a
is
.
A
−
1
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B
1
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C
2
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Solution
The correct option is
A
−
1
Given that
(
1
,
2
)
lies on the line represented by the equation
3
y
=
a
x
+
7.
Substituting
x
=
1
and
y
=
2
in
3
y
=
a
x
+
7
,
we get
3
(
2
)
=
a
(
1
)
+
7.
⟹
a
+
7
=
6
⟹
a
=
−
1
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