If A = {1,2,3,4} B = {3,4,6,8} 3and C = {6,8,9,10} then verify that i. A∪(B∩C) = (A∪B)∩(A∪C) ii. A∩(B∪C) = (A∩B)∪(A∩C)
[5 marks]Let f:A → Bwhere A = {1,2,3,4,5} and B = {1,2,3,…,10} is defined by f(x) = 2x −1 then find domain, co-domain and range of f.
[5 marks]3 −1 1 Find the inverse of the given matrix [0 0 1]. 4 −2
[2 marks]2+i . Find the complex conjugate and modulus of 3+2i
[5 marks]Find the roots of the equation 5x2 −2x −6 = 0.
[5 marks]Check whether a relation R:ℝ → ℝ defined by R = {(a,b)/a+b is even number} is equivalence or not?
[5 marks]2 3 4 3 2 1 If A = [1 4 3] and B = [4 1 2] then find A+B,2A−B.
[5 marks]Let V = 2i−j+3k and V = i+2j−5k then find i. 2V +V12 ii. 3V −2V12
[5 marks]1 0 1 −2 If A = [−1 2] and B = [ ] then find457 i. AB ii. (AB)T
[3 marks]Find mean deviation about the mean for the following data: x 2 5 6 8 10 i f 2 8 10 7 8 i1
[5 marks]Acard drawn from a well shuffled deck of 52 cards. If each outcome is equally likely, calculate probability that the card will be
[5 marks]a club (ii) a red card.
[ marks]Find standard deviation for the following data: x 3 8 13 18 23 i f 7 10 15 10 i
[6 marks]Three coins tossed once. Find the probability of getting
[5 marks]exactly two heads (ii) at least two tails
[ marks]Construct a truth table for the compound proposition A·(B+C) = [(A·B)+(A·C)].
[5 marks]Find vertices, edges, parallel edges, loops and degree of vertices from the following graph
[5 marks]State De Morgan’s Law and prove it using truth table.
[5 marks]Define Simple graph and Multigraph with example.
[5 marks]