Examine each of the following relations given below and state in each case, giving resons whether it is function or not?
(i) R={(2,1), (3,1), (4,2)}, (ii) R={(2,2), (2,4) ,(3,3),(4,4)}
(iii) R={(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)}

Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range. (i) {(2,1),(5,1),(8,1),(11,1),(14,1),(17,1)} (ii) {(2,1),(4,2),(6,3),(8,4),(10,5),(12,6),(14,7)} (iii) {(1,3),(1,5),(2,5)}

Find the distance between the following paires of points : (i) (2, 3), (4, 1) (ii) (-5, 7), (-1, 3)

Expand |{:(1,2,3),(4,6,2),(5,9,4):}|

Inverse [ (1,2,3),(2,3,4),(3,4,6)] is :

Find the distance between the following pairs of points (i) (2,3,5) and (4,3,1) (ii) (-3,7,2) and (2,4,-1) (iii) (-1,3,-4) and (1,-3,4) (2,-1,3) and (-2,1,3)

Let A = {2, 4, 6, 8} and define R = {(2, 4), (4, 2), (4, 6), (6, 4)} then R is

State with reason whether following functions have inverse (i) f : {1,2,3,4} to {10} with f = {(1,10), (2,10), (3,10) ,(4,10)} (ii) g: {5,6,7,8} to {1,2,3,4} with g = {(5,4) , (6,3), (7,4), (8,2)} (iii) h : {2,3,4,5} to {7,9,11,13} with h = {(2,7), (3,9) , (4, 11), (5,13)}

Find values of x, if (i) {:|( 2,4),(5,1)|:}={:|( 2x,4),(6,x) |:}" "(ii) {:|( 2,3),(4,5)|:}={:|( x,3),( 2x,5)|:}

In a graph Sheet Plot each pairs of points, join them by line segments. (i) (2,5), (4,7) (ii) (-3,5), (-1,7) (iii) (-3,-4), (2,-4) (iv) (-3,-5), (2,-5) (v) (4,-2), (4,-3) (vi) (-2,4), (-2,3) (vii) (-2,1), (-2,0) (viii) (4,7), (4,-3) (ix) (4,-2), (2,-4) (x) (4,-3, (2,-5) (xi) (2,5), (2,-5) (xii) (-3,5), (-3,-5) (xiii) (-3,5), (2,5) (xiv) (-1,7), (4,7)