Question

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 the vertices of a parallelogram.
012 Show that points (05) 1.2.2) (50) and (77) are the vertices of them​

Answer 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.