Name the quadrilateral formed, if any, by the following points, and give reasons for your answers: `A(-1,\ -2),\ \ B(1,\ 0),\ \ C(-1,\ 2),\ \ D(-3,\ 0)` (ii) `A(-3,\ 5),\ \ B(3,\ 1),\ \ C(0,\ 3),\ \ D(-1,\ -4)` (iii) `A(4,\ 5),\ \ B(7,\ 6),\ \ C(4,\ 3),\ \ D(1,\ 2)`

Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer: (i) (– 1, – 2), (1, 0), (– 1, 2), (– 3, 0) (ii) (–3, 5), (3, 1), (0, 3), (–1, – 4) (iii) (4, 5), (7, 6), (4, 3), (1, 2)

Show that the following points are the vertices of a rectangle. (i) A(-4, -1), B(-2, -4), C(4, 0) and D(2, 3) (ii) A(2, -2), B(14, 10), C(11, 13) and D(-1, 1) (iii) A(0, -4), B(6, 2), C(3, 5) and D(-3, -1)

Show that the following points are the vertices of a rectangle : (i) A(4, 2), B(0, -4), C(-3, -2), D(1, 4) (ii) A(1,-1), B(-2, 2), C(4, 8), D(7, 5)

Plot the following points and verify if they lie on a line. If they lie on a line, name it.(i) (0, 2), (0, 5), (0, 6), (0, 3.5) (ii) A (1, 1), B (1, 2), C (1, 3), D (1, 4)(iii) K (1, 3), L (2, 3), M (3, 3), N (4, 3) (iv) W (2, 6), X (3, 5), Y (5, 3), Z (6, 2)

If A={1,2,3},\ B={4,5,6} Is the following relatios from A\ to\ B ? Give reason in support of your answer: R_3={(1,4),\ (1,5),\ (3,6),\ (2,6),\ (3,4)}

Taking 0.5 cm as 1 unit, plot the following points on the graph paper A(1,3), B(-3,-1),C(1,-4),D(-2,3). E(0,-8) and F(1,0).

Show that the points A(-1,\ 4,\ -3),\ B(3,\ 2,\ -5),\ C(-3,\ 8,\ -5)a n d\ D(-3,\ 2,\ 1) are coplanar.

Which of the following functions from A to B are one-one and onto? f_1={(1,\ 3),\ (2,\ 5),\ (3,\ 7)};\ \ A={1,\ 2,\ 3},\ \ B={3,\ 5,\ 7} (ii) f_2={(2,\ a),\ (3,\ b),\ (4,\ c)};\ \ A={2,\ 3,\ 4},\ \ B={a ,\ b ,\ c} (iii) f_3={(a ,\ x),\ (b ,\ x),\ (c ,\ z),\ (d ,\ z)};\ \ A={a ,\ b ,\ c ,\ d},\ \ B={x , y , z}

If points A(5,\ p),\ \ B(1,\ 5),\ \ C(2,\ 1) and D(6,\ 2) form a square A B C D , then p= (a) 7 (b) 3 (c) 6 (d) 8

The median of the following data: 0,\ 2,\ 2,\ 2,\ -3,\ 5,\ -1,\ 5,\ 5,\ -3,\ 6,\ 6,\ 5,\ 6 is (a) 0 (b) -1. 5 (c) 2 (d) 3.5