(ii)(1,2),(3,-4),(5,-6)

If A=[{:(2,-1,3),(4,5,-6):}] and B=[{:(1,2),(3,4),(5,-6):}] then

Wherever possible write each of the following as a single matrix. (i) [{:(,1,2),(,3,4):}]+[{:(,-1,-2),(,1,-7):}] (ii) [{:(,2,3,4),(,5,6,7):}]-[{:(,0,2,3),(,6,-1,0):}] (iii) [{:(,0,1,2),(,4,6,7):}]+[{:(,3,4),(,6,8):}]

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

Find the co-ordinates of the circumcentre of the triangle whose vertices are : (i) (-2,2) , (2,-1) and (4,0) (ii) (1,2) , (3,-4) and (5,-6)

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

If A={1,2,3} and B={4,5,6} , then which of the following is a relation from set 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

In the following which is a function ? (i) {(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)}

Given the sets A = {1, 3, 5), B = {2, 4, 6} and C = {0, 2, 4, 6, 8), which of the following may be considered as universal set (s) for all the three sets A, B and C (i) {0,1, 2, 3, 4, 5, 6} (ii) ϕ (iii) {0,1,2,3,4,5,6,7,8,9,10} (iv) {1,2,3,4,5,6,7,8}

Given the sets A = {1, 3, 5} , B = {2,4, 6} and C = {0, 2,4, 6, 8} , which of the following may be considered as universal set (s) for all the three sets A, B and C (i) {0, 1, 2, 3, 4, 5, 6} (ii) phi (iii) {0,1,2,3,4,5,6,7,8,9,10} (iv) {1,2,3,4,5,6,7,8}