Question

If the point P(6,7) divides the seg Joining A(8, 9) and (1,2) in some ratio find the ratio ​

Answer 1

Answer:

2:5

Step-by-step explanation:

Coordinates of line segment = x1 : 8 y1 : 9

x2 : 1 y2 : 2

Coordinates of dividing point = ( 6,7 )

To find ratio, uss section formula where m1 and m2 are the ratios,

$\frac{m1 x2 + m2x1}{m1 + m2} = 6 \\ = \frac{m1 + 8m2}{m1 + m2} = 6 \\ = m1 + 8m2 = 6(m1 + m2) \\ = m1 + 8m2 = 6m1 + 6m2 \\ = m1 + 8m2 - 6m1 - 6m2 = 0 \\ = - 5m1 + 2m2 = 0 \\ = - 5m1 = - 2m2 \\ \frac{m1}{m2} = \frac{2}{5}$

Hence, Ratio is 2:5 !!