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Byju's Answer
Standard XII
Mathematics
Distance Formula
Given that th...
Question
Given that three points
(
1
,
2
)
,
(
2
,
4
)
,
(
k
,
6
)
are collinear, find the value of
k
.
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Solution
As Points are collinear
⇒
area of traiangle formed by
3
Points is zero.
⇒
1
2
∣
∣
∣
(
x
1
−
x
2
)
(
x
2
−
x
3
)
(
y
1
−
y
2
)
(
y
2
−
y
3
)
∣
∣
∣
=
0
⇒
∣
∣
∣
1
−
2
2
−
k
2
−
4
4
−
6
∣
∣
∣
⇒
2
−
(
k
−
2
)
2
=
0
⇒
1
+
2
−
k
=
0
⇒
K
=
3
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