Question

If the points (0,2),(1,x)and( 3,1) are collinear then

Answer 1

Step-by-step explanation:

Let A (0,2); B (1,x); C (3,1)

x1=0,y1=2 x2=1, y2=x x3=3,y3=1

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

1/2 |0(x-1) + 1 (1-2) + 3 (2-x)|=0

|0+1-2+6-3x|=0

|7-2 -3x|=0

|5-3x|=0

5-3x=0

3x=5

x=5/3