Question

In what ratio is the segment joining points (2, 3) and (-2, 1) divided by the Y-axis?

A) 1 : 2 B) 1 : 1 C) 3 : 1 D) 2 : 3

Answer 1

Answer:

B) 1 : 1

Step-by-step explanation:

let the point on y axis be P (0,y)

let the ratio be k : 1

A (2,3), B (-2,1), m1 = k, m2 = 1

x = m1x2 + m2x1 ÷ m1 + m2

0 = k(-2) + 1(2) ÷ k + 1

0 = -2k + 2 (as k + 1 was multiplied with 0, k + 1 was in the denominator)

2k = 2

k = 1

therefore ratio = k : 1 = 1 : 1

ans) the point on y axis divides the line in the ratio of 1 : 1