Question

If the point P(6, 2) divides the line segment joining A(6, 5) and B(4, y) in the ratio 3 : 1, then the value of y is ______.

विकल्प

• 4

• 3

• 2

• 1

Answer 1

If the point P(6, 2) divides the line segment joining A(6, 5) and B(4, y) in the ratio 3 : 1, then the value of y is 1.

Explanation:

Here, x₁ = 6, y₁ = 5

And x₂ = 4, y₂ = y

Then `x = (mx_2 + nx_1)/(m + n)` and `y = (my_2 + ny_1)/(m + n)`

∴ `2 = (3 xx y + 1 xx 5)/(3 + 1)`

= `(3y + 5)/4`

⇒ 3y + 5 = 8

⇒ 3y = 8 – 5

⇒ 3y = 3

⇒ y = 1