if a ( -14 ,10 ) , b ( 6 ,-2 ) is given , find the co coordinate of points which divides seg ab into four equal parts .
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if a ( -14 ,10 ) , b ( 6 ,-2 ) is given , find the co coordinate of points which divides seg ab into four equal parts .
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Step-by-step explanation:
Using the section formula, if a point (x,y) divides the line joining the points (x
1
,y
1
) and (x
2
,y
2
) in the ratio m:n, then
(x,y)=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
& for mid points we have, m:n=1:1.
Therefore, we have
(−4,6)=(
2+1
2r−6
,
2+1
25+10
)
⇒
3
2r−6
=−4,
3
25+10
=6
⇒2r−6=−12,25+10=18
⇒2r=−12+6,2s=18−10
⇒2r=−6,2s=8
∴r=−3,s=4