Question

(If A(2, -3), B(3,-2) and point C divides the line segment AB in the ratio of 1: 2, find OC.)​

Answer 1

A(2, -3) and B(3, -2), o(0, 0) Let C(x, y)

Here c divide AB line in the ratio of 1:2

From the line intersection law, we get x=(m1×x2+m2×x1)/(m1+m2)

and y=(m1×y2+m2×y1)/(m1+m2)

where m1=1, m2=2, x1=2, x2=3, y1=-3, y2=-2;

so x=(3+4)/3

or, x=7/3;

y=(-2-6)/3

or, y=-8/3;

so, oc=√((0-7/3)²+(0-(-8/3))²)

oc=3.54