Question

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

a) 4
b) 3
c) 2
d) 1​

Answer 1

According to the section formula, the value of y is 4.5

Step-by-step explanation:

To find the value of y, we need to use the concept of section formula. The point P(6,2) divides the line segment joining A(6,5) and B(4,y) in the ratio 3:1.

Let the coordinates of point P be (x,y). Using the section formula, we can find that x = (3 * 4 + 1 * 6) / (3 + 1) = (12 + 6) / 4 = 18 / 4 = 4.5.

Therefore, the value of y is 4.5.