Question

find the ratio in which P (5,4) divides the line segment joining the points A (2,1) and B (7,6)​

Answer 1

Answer:

3:2

Step-by-step explanation:

Let the ratio be m: n

Use internal section division formula

5=(7m+2n)/(m+n)

5m+5n = 7m+2n

m/n =3/2

Answer 2

coordinates of A (2,1), coordinates of B (7,6)

P divides line AB (5,4)

Section formula

x=m1*x2 + m2*x1/m1+m2

5*1+4*2/5+4

5+8/9

x=13/9

y=m1*y2+m2*y1/m1+m2

5*6+4*7/5+4

30+21/9

y=51/9

hence the ratio is

13/9:51/9

ratio =13/9/51/9

13:51