Question

Point A has coordinates (4, 6). Point B has coordinates (10, 12). Find the coordinates of point P that partitions AB in the ratio 3:2.

a) (7.6, 9.6)
b) (5.2, 7.2)
c) (8.8, 10.8)
d) None of the above

Answer 1

To find the coordinates of point P that partitions AB in the ratio 3:2, we can use the concept of section formula. The x-coordinate of point P is (8.8, and the y-coordinate of point P is 10.8.

Step-by-step explanation:

To find the coordinates of point P that partitions AB in the ratio 3:2, we can use the concept of section formula. The x-coordinate of point P is given by the formula:
XP = (2xB + 3xA) / 5
Substituting the given values of A(4, 6) and B(10, 12), we have:
xP = (2*10 + 3*4) / 5 = 8.8
The y-coordinate of point P can be found using the formula:
yP = (2yB + 3yA) / 5
Substituting the given values of A(4, 6) and B(10, 12), we have:
yP = (2*12 + 3*6) / 5 = 10.8