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KEAM 2021 Math Solved Paper
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© examsnet.com
Question : 12
Total: 120
If
a
y
=
x
+
b
is the equation of the line passing through the points
(
−
5
,
−
2
)
and
(
4
,
7
)
then the value of
2
a
+
b
is equal to
1
3
5
−
3
−
1
Validate
Solution:
Equation of line passing through the points
(
−
5
,
−
2
)
and
(
4
,
7
)
is
y
+
2
=
(
7
+
2
4
+
5
)
(
x
+
5
)
y
+
2
=
x
+
5
y
=
x
+
3
Comparing this equation with the given equation
a
y
=
x
+
b
to determine the value of
a
and
b
.
Thus,
a
=
1
,
b
=
3
Hence,
2
a
+
b
=
2
×
1
+
3
=
5
© examsnet.com
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