Question

Determine whether the given points lie on a same straight line or not : (0,5),(5/2,0)and(5,-5)

Answer 1

For collinear all three point must lie on same line and the slope will be equal for each and every point.

given points are (0,5),(5/2,0)and(5,-5)

so

x1=0  ,  x2=5/2,       x3 =5

y1= 5    y2=0 ,          y3= -5

now  (y2-y1)/(x2-x1) = (y3-y2)/(x3-x1)  [if they are  collinear]

(0–5)/(5/2–0) =(-5-0)/(5–0)  

-5*2/5       ≠ -5/5

5*2/5    ≠ 5/5

2       ≠ 1

LHS ≠RHS   they are not collinear

given points do not lie on a same straight line ans