Let A={all your friends},B={all taxi drivers}.Describe the set `AnnB`.

Does the transfer of energy take place when you push a huge rock with all your might and fail to move it? Where is the energy you spend going?

Identify all the probable simple events obtained from the trial of tossing a coin two times and find their probabilities. Also describe one impossible event and one sure event associated with the above trial.

Let A=R-{3} and B=R-{1} be two given sets. Prove that the function f : A rarr B, f(x)= (x-2)/(x-3) is bijective.

Let A and B be any two sets.Using properties of sets prove that (AnnB)uu(A-B)=A

Which of the following pairs of sets are disjoint?A={set of all isosceles triangles},B={set of all right angled triangles}.

Let A={1,2,3,4,5} . Write the operation table on the set A for the operation : ^^ where a^^b=min{a,b} for a,b in A

Let A={1,2,3,4,5} . Write the operation table on the set A for the operation : ** where a**b=H.C.F.a and b for a,b in A

Let A={1,2,3,4,5} . Write the operation table on the set A for the operation : vv where avvb=max{a,b} for a,b in A

Prove that the locus of the centres of all circles passing through two given points A, B is the perpendicular bisector of the line segment AB.