Prove that the following points are collinear :
`{:((i)(2","1)","(4","3)and(3","2),(ii)(9","6)","(-1","4)and(2","5)),((iii)(b+c","a)","(c+a","b)and(a+b","c),(iv)(5","6)","(-1","4)and (2","5)):}`

Using vector method, prove that the following points are collinear: A(-3,-2-5),B(1,2,3)and C(3,4,7)

Show that the following sets of points are collinear. (2,\ 5),\ (4,\ 6) and (8,\ 8) (b) (1,\ -1),\ (2,\ 1) and (4,\ 5) .

Using vector method, prove that the following points are collinear: A(6,-7,-1) B(2,-3,1) C(4,-5,0)

Using distance formula prove that the following points are collinear: A(4,-3,-1),\ B(5,-7,6)a n d\ C(3,1,-8)

Using distance formula prove that the following points are collinear: A(4,-3,-1),\ B(5,-7,6)a n d\ C(3,1,-8)

Find the slopes of the lines passing through the following points : (i) (1,5) and (3,2) (ii) (-4,3) and (-6,3) (iii) (1,3) and (1,4) (iv) (2,-1) and (3,2)

Prove that the points A(9,-1,4),B(-1,-3,2) and C(4,-2,3) are collinear.

Prove that the points A(2,0,-3), B (1,-2,-5) and C(3,2,-1) are collinear.

If A={1,2,3} and B={4,5,6} , then which of the following is a relation from set A to B? Give reason: (i) R_(1)={(1,5),(2,4),(3,5)} (ii) R_(2)={(4,1),(2,6),(5,1),(2,4)} (iii) R_(3)={(1,4),(2,5),(3,4),(2,6),(3,6)} (iv) AxxB

Show that the points A(1,3,2),B(-2,0,1) and C(4,6,3) are collinear.