Find the value of sin15°.
[5 marks]If z=2-3i, find the multiplicative inverse of z.
[5 marks]Let f:A→B, where A={1,2,3}, f(x)=x2, and B={1,2,3,4,5,6,7,8,9,10}. Determine the domain, co-domain, and range of the function f.
[5 marks]In a school, every student plays either cricket, chess, or both. It is given that 5000 students play cricket, 2500 play chess, and 1000 play both. Using set operation, find the total number of students in the school.
[5 marks]Determine an equivalence relation. List the three necessary properties.
[5 marks]Solve the given system of equations using the matrix method: 5x+2y=4 x+3y=6
[5 marks]Explain Graph and Sub graph in detail with suitable example.
[5 marks]Find A-1, if it exists.
[5 marks]Solve the equation x2+6x+8=0 to find the value(s) of x.
[5 marks]Describe combinations and permutations with appropriate examples.
[5 marks]Probability b) Event c) Experiment Page 1 of
[2 marks]If die is rolled, then find the variance and standard deviation of the possibilities.
[5 marks]Ahand of 7 cards is drawn from a well-shuffled deck of 52 cards. Find the probability that the hand contains:
[5 marks]all 4 Kings, (ii) exactly 3 Kings, (iii) at least 3 Kings.
[ marks]Define the terms in context to probability with suitable example:
[5 marks]In Boolean Algebra: State D’Morgan’s law and prove it.
[5 marks]Write the reduced from for the Boolean expression (AB’(C+BD)+A’B’)C.
[5 marks]Explain the concept of Degree of Vertex in detail with suitable example.
[5 marks]Write the laws of Boolean algebra. Page 2 of
[2 marks]