Q10. Prove that the points (-2,5), (0,1and (2,-3) are collinear.
Q11. Show that the points (2,1),(5,4),(4,7) and (1,4) are th

1 thought on “Q10. Prove that the points (-2,5), (0,1and (2,-3) are collinear.<br />Q11. Show that the points (2,1),(5,4),(4,7) and (1,4) are th”

1. Answer:

   three questions asked

   Step-by-step explanation:

   Let us first find the equation of a line passing through (-2,5) and (0,1).

   →(y−y

   1

   )=m(x−x

   1

   )

   →(y−5)=m(x+2)

   now (0,1) lies on this line

   →(1−5)=m(0+2)

   →m=−2

   equation of the line is y+2x=1

   now, the given three points are collinear if the third point lies on this line, i.e. (2,-3) lies on the line y+2x=1

   i.e. if -3+2(2)=1

   i.e. if 1=1

   which is true,

   hence these three points are collinear.

   Reply