Question

The coordinates of the point C dividing the line segment joining the points P(2, 4) and Q(5, 7) internally in the ratio 2 : 1 is

विकल्प

• `(7/2, 11/2)`

• (3, 5)

• (4, 4)

• (4, 6)

Answer 1

(4, 6)

Explanation;

Hint:

A line divides internally in the ratio m : n

m = 2, n = 1

x₁ = 2, x₂ = 5

y₁ = 4, y₂ = 7

The point P = `(("m"x_2 + "n"x_1)/("m" + "n"), ("m"y_2 + "n"y_1)/("m" + "n"))`

= `((10 + 2)/3, (14 + 4)/3)`

= `(12/3, 18/3)`

= (4, 6)