Question

The line segment joining A (6,3) and B (-1,-4) is doubled is length by adding half of AB to end. Find the coordinates of the new end points​

Answer 1

Step-by-step explanation:

Let P and Q be the required new ends Coordinates of P Let AP = k ∴ AB = 2AP = 2k and PB = AP + AB = k + 2k = 3k AP/PB = k/3k = 1/3 ∴ P divides AB externally in the ratio 1:3 Using the section formula for the external division, i.e. Here, m1 = 1, m2 = 3 (x1, y1) = (6, 3) and (x2, y2) = (-1, -4) Putting the above values in the above formula, we get

Coordinates of Q. Q divides AB externally in the ratio 3:1 Again, Using the section formula for the external division, i.e.

Here, m1 = 3, m2 = 1 (x1, y1) = (6, 3) and (x2, y2) = (-1, -4)

Putting the above values in the above formula we get