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Standard XI
Mathematics
NCERT
Question
Find the value of
x
for which the points
(
x
,
−
1
)
,
(
2
,
1
)
and
(
4
,
5
)
are collinear.
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Solution
Verified by Toppr
If point
A
(
x
,
−
1
)
,
B
(
2
,
1
)
, and
C
(
4
,
5
)
are collinear, then slope of
A
B
=
slope of
B
C
⇒
1
−
(
−
1
)
2
−
x
=
5
−
1
4
−
2
⇒
1
+
1
2
−
x
=
4
2
⇒
2
2
−
x
=
2
⇒
2
=
4
−
2
x
⇒
2
x
=
2
⇒
x
=
1
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