Question

find a if A(a,2) devides P(3,-4) and Q(3,6)​

Answer 1

Step-by-step explanation:

let A divides P and Q inthe ratio m:n internally

then y coordinate of a is

2 = 6m + (-4n)/(m+n)

this gives

2m +2n = 6m - 4n

4m = 6n

m/n = 6/4 = 3/2

thus, A divides PQ in the ratio 3:2

now

a= (3*3+2*3)/(3+2)

= (9+6)/5

= 15/5

= 3 ans