Find the ratio in which the point (1, a) divides the join of (-5, 2) and (3, 6),
hence find ‘a’.
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Answer:Let's assume the point P (1,a) divide the line segment AB in the ratio k:1.
Then by section formula, we have
1=
k+1
4k−1
,
k+1=4k−1.
2=3k
k=
3
2
.........(1)
And,
a=
k+1
−k+4
a=
3
2
+1
3
−2
+4
[using (1)]
a=
5
10
=2
Thus , the required ratio is 2:3 and a=2.
Step-by-step explanation:
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