MATH ASSIGNMENT

Question 15: Let R be the relation in the set H given by R = {{a, b}: a = b 2, b :5 6}. Choose the correct answer. (A) {2, 4} E [1(3) (3, 3] ER {C} {6, 8} ER {D} {8, 3'} E R \f\f\fQuestion 3': Show that the relation R in the set A of all the banks in a library;r of a college, given by R = {{X, y}: x and 1: have same number of pages} is an equivalence relation. Question 11: Show that the relation R in the set A of paints in a plane given by R = {[P, Q}: distance [if the paint P from the origin is same as the distance at the paint Q from the cirigin}, is an equivalence relatien. Further, show that the set tif all point related ta a point P = (D, D) is the circle passing thraugh P with origin as centre. \fQuestion 3: Shaw that the relation R in the set A = {1, 2, 3, 4, 5} given by R = a. h :ah iseven ll l l l l, is an equivalence relation. Show that all the elements of {1, 3, 5} are related ti:- each other and all the elements of {2, 4} are related to each other. But no element of {1, 3, 5} is related to any element 01'2, 4}. \f\f