Prove that the points (a, b), (c, d) and (a-c, b-d) are collinear, if ad = bc.

Prove that the points (a ,b+c),(b ,c+a)a n d(c ,a+b) are collinear.

Show that points A(a,b+c),B(b,c+a) ਅਤੇ C(c,a+b) are collinear.

Show that points : A (a,b+c),B(b,c+a),C(c,a+b) are collinear.

The points with coordinates (2a,3a), (3b,2b) and (c,c) are collinear

If R is a relation in N xx N , show that the relation R defined by (a, b) R (c, d) if and only if ad = bc is an equivalence relation.

If a ne b ne c , prove that (a, a^2), (b, b^2), (c, c^2) can never be collinear.

If the coordinates of the points A,B,C be (-1,5),(0,0) and (2,2) respectively, and D be the middle point of BC, then the equation of the perpendicular drawn from B to the line AD is

Two circles intersect at A and and AC,AD are respectively the diameter of the circle . Prove that the points C,B and D are collinear.

There are five points A,B,C,D and E. no three points are collinear and no four are concyclic. If the line AB intersects of the circles drawn through the five points. The number of points of intersection on the line apart from A and B is