Question

Find the ratio in which the point p( b,1) dividesbthe join of A(7,-2) and B ( -5 ,6). Also find the value of b.

Answer 1

Answer:

Here is the solution mate.

Answer 2

The ratio in which the point p(b,1) divides the line joining the points A(7,-2) and B ( -5 ,6) is equal to 3:5 and the value of b is 5/2.

Let the ratio in which the point p divides the line AB be equal to 1:m.

Use the section formula to find the value of b and the ratio.

1 = (1 × 6 + m × -2)/(1+m)

=> 1+m = 6 - 2m

=> 3m = 5

=> m = 5/3

b = (1 × -5 + (5/3) × 7)/(1+5/3)

=> b = (-5+35/3)/(8/3)

=> b = 20/8 = 5/2

The value of b is 5/2 and the ratio is equal to 1:5/3 or 3:5.