find the ratio in which the line segment joining a(1 -5) and b(-4 5) is divided by the x axis . Also find the coordinates of the point of division
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a(1,-5)&b(-4,5)
let the ratio be K:1.
p(X)= m1x2 + m2x1
m1+m2
X = k( -4) + 1( 1)
--------------. =. k+1=-4k+1,= k=5/2.
k+1
similarly,
Y = k(5)+1(-5)
-------------. = k+1 =5k-5, k=3/2.0
k+1
so.
ratio .
5/2. 5
-----. =. ---.
3/2. 3
X= -20+3/8= -17/8
y=. 25-15/8= 10/8=5/4
p(X,Y)=p(-17/8,5/4)
let the ratio be K:1.
p(X)= m1x2 + m2x1
m1+m2
X = k( -4) + 1( 1)
--------------. =. k+1=-4k+1,= k=5/2.
k+1
similarly,
Y = k(5)+1(-5)
-------------. = k+1 =5k-5, k=3/2.0
k+1
so.
ratio .
5/2. 5
-----. =. ---.
3/2. 3
X= -20+3/8= -17/8
y=. 25-15/8= 10/8=5/4
p(X,Y)=p(-17/8,5/4)
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