Question

The coordinates of a point dividing the line segment joining (1, 2) and (4, 5) externally in the ratio 2:1 is ____________________

(a) (4, 5)

(b) (6, 8)

(c) (7, 8)

(d) (8, 6)

I have been asked this question by my school teacher while I was bunking the class.

I need to ask this question from Slope of a Line in portion Straight Lines of Mathematics – Class 11

Answer 1

Right choice is (c) (7, 8)

The explanation: The coordinates of a point dividing the line segment joining (x1, y1) and (x2, y2) externally in the ratio m: n is \((\frac{mx_2-nx_1}{m-n},\frac{my_2-ny_1}{m-n})\).

So, the coordinates of a point dividing the line segment joining (1, 2) and (4, 5) externally in the ratio 2:1 is \((\frac{2*4-1*1}{2-1},\frac{2*5-1*2}{2-1})\) = (7, 8).