Which of the following sets of vectors given below may have zero resultant?
(1) 12,14,28
(2) 14,18,36
(3) 11.22,17
(4) 0.5,1,2

Which of the following sequqnces are in arithmetic progression? (i) 2,6,10,14,…. (ii) 15,12,9,6 (iii) 5,9,12,18,….. (iv) 1/2, 1/3, 1/4, 1/5,….

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

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}

A relation R in set A={1,2,3} is defined as R={(1,1),(1,2),(2,2),(3,3)} . Which of the following ordered pair should be removed to make it an equivalence relation? A. (1,1) B. (1,2) C. (2,2) D. (3,3)

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),

Find the mode of the following data in each case: 14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18 7, 9, 12, 13, 7, 12, 15, 7, 12, 7, 25, 18, 7

Which of the following is a point on the common chord of the circle x^2+y^2+2x-3y+6=0 and x^2+y^2+x-8y-13=0? (1,-2) (b) (1,4) (c) (1,2) (d) 1,4)

Let N be the set of natural numbers. Describe the following relations in words, giving their domain and the range. {(1,4),(5,16),(7,22),(12,37)}

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)}

Form a grouped frequency distribution from the following data by inclusive method taking 4as the magnitude of class intervals. 31,23,19,29,22,20,16,10,13,34,38,33,28,21,15,18,36,24,18,15, 12,30,27,23,20,17,14,32,16,25,18,29,24,19,16,11,22,15,17,10