Question

The line segment joining the points P(–4. –2) and Q(10, 4) is divided by y-axis in the ratio

Options

• 2 : 5

• 1 : 2

• 2 : 1

• 5 : 2

Answer 1

2 : 5

Explanation:

Points are P(–4, –2) and Q(10, 4).

Since the division is by the y-axis, the x-coordinate of the point is 0

Let ratio be k : 1.

`0 = (k(10) + 1(-4))/(k + 1)`

0 = 10k – 4

10k = 4

`k = 4/10`

`k = 2/5`

The ratio k : 1 becomes `2/5 : 1`, which is 2 : 5.

The ratio is 2 : 5.