Question

Find the ratio in which p) (3/4,5/12) divide the line segment joing points A(1/2,3/2) b(2,-5)

Answer 1

Answer:

1:5

Step-by-step explanation:

the point of the line are A(1/2,3/2) and B(2,-5)

point dividing the line is P(3/4,5/12)

let it divide the line in a:b

then,

=> [a(2) +b(1/2)]/(a+b) = 3/4

=> 2a+b/2 = 3a/4 + 3b/4

=> 2a-3a/4 = 3b/4-b/2

=> (8a-3a)/4 = (3b-2b)/4

=> 5a/4 = b/4

=> 5a = b

=> a/b = 1/5

so, the point P divides the line AB in 1:5 .... ans.