The ratio in which the line segment joining the points A(– 3/ 2) and B(6, 1) is divided by the y – axis is
We know that any point on y axis is in the form (0, x) where x is any real number, let y axis intersect the line segment AB at point P with coordinates (0, c)
And we have
Coordinates of A = (– 3, 2)
Coordinates of B = (6, 1)
Let P divides AB in K:1
Now, By using section formula i.e.
The coordinates of Point P which divides line AB in a ration m : n is
Where, (x1, y1) and (x2, y2) are the coordinates of points A and B respectively.
So,
Coordinates of P
So,
P divides AB in 2:1