Question

find the value of A and B if the point a(-2,1) , b(a,b,) and c(4,-1) are colinear and a-b ,= 1​

Answer 1

Answer:B(5/4,1/4)

Step-by-step explanation:

If A,B and C are collinear,

Then ar ΔABC=0

1/2[x1(y2-y3)+x2(y3-y1)+x3(y1-y2)]=0

1/2[-2(b+1)+a(-1-1)+4(1-b)]=0

Simplifying,

a+3b-2=0;

Now as a-b=1

Thus a=b+1;

Substituting,

(b+1)+3b-2=0

4b-1=0

Thus

b=1/4;

a=1+1/4=5/4