A straight line intersect the x axis at a and the y axis at
b. ab is divided internally at c(8,10) in the ratio of 3:4. find the equation of ab.
Answers
Given : A straight line intersect the x axis at a and the y axis at b.
ab is divided internally at c(8,10) in the ratio of 3:4
To Find : the equation of ab.
Solution:
A straight line intersect the x axis at a and the y axis at b.
=> Equation of line = x/a + y/b = 1
a = ( a , 0)
b = (0 , b )
ab is divided internally at c (8,10) in the ratio of 3:4
=> 8 = ( 3 * 0 + 4*a)/(3 + 4)
=> 56 = 4a
=> a = 14
10 = ( 3b + 0)/(3 + 4)
=> 70 = 3b
=> b = 70/3
x/14 + y/(70/3) = 1
=> x/14 + 3y/70 = 1
=> 5x + 3y = 70
5x + 3y = 70 is the Equation of ab
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