Question

x axis divides ab joining a(1,-2) and b(4,5) in the ratio

Answer 1

Dividing Point is on X-axis.
=>Abscissa of the point is 0.
Let(x1,y1)=(1,-2)
(x2, y2) =(4, 5)
(x, y) = (0,y)
Let the ratio be m:n.


By using section formula,
$\: \: \: \: \: \: \: \: x = \frac{mx2 + nx1}{m + n} \\ = >0 = \frac{4m + n}{m + n} \\ = > 4m + n = 0(m + n) \\ = > 4m = - n$
=>m:n = (-1):4.


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