Question

if the points (1 - X ) (5,2) and (9,5)are collinear then the value of x is​

Answer 1

Answer:

Step-by-step explanation:

The value of x=-1

Thanks for the question!

I hope it helps you....

Answer 2

collinear means points in the same line

i.e. if these points are collinear, it means that these points lies on same line.

now assume that these three points make a triangle..since these points lies on same line, so area covered by these three point is zero.

using are of triangle formula

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

=1/2[1(2–5)+5(5-x)+9(x-2)]=0

1/2[-3+25–5x+9x-18]=0

4+4x=0

x=-1

we can also find by using the slope of line

(2-x)/(5–1)=(5–2)/(9–5)

(2-x)/4=3/4

2-x=3

x=-1