EXERCISE 13.3 Q NO. 2, 3 AND 4

Let A = {1, 2, 3}, B = { 2, 3, 4} , then which of the following is a function form A to B ? (a){(1,2),(1,3),(2,3),(3,3)} (b){(1,3),(2,4)} (c){(1,3),(2,2),(3,3)} (d){(1,2),(2,3),(3,2),(3,4)}

Let R = {(1, 2), (2, 2), (1, 1), (4,4), (1,3), (3, 3), (3,2)} be a relation on the set {1,2,3,4}. Then,

Six charges , q_1 = +1 mu C , q_2 = +3 mu C , q_3 = +4 mu C , q_4 = -2 mu C , q_5 = -3 mu C and q_6 = -3 mu C are placed on a sphee of radius 10 cm. The potential at centre of sphere is

Exercise 2. Let R (1, 3), (2, 5), (3, 7), (4, 9), (5, 11) be a relation in the set A ={1, 2, 3, 4 ,5 }Find the domain and range of R

(p^^~q) is logically equal to 1. p -> q 2. ~ p->q 3. p -> ~ q 4. ~(p ->q)

Find : (i) 7/3 -: 2 (ii) 4/9 -: 5 (iii) 6/13 -: 7 (iv) (4) 1/3 -: 3 (v) (3)1/2 -: 4 (vi) (4) 3/7 -: 7

Let X = {1, 2, 3,.......... 10} and P = {1, 2, 3, 4, 5} . The number of subsets Q of X such that P Delta Q = {3) is __________

Let O(0,0),P(3,4), and Q(6,0) be the vertices of triangle O P Q . The point R inside the triangle O P Q is such that the triangles O P R ,P Q R ,O Q R are of equal area. The coordinates of R are a. (4/3,3) b. (3,2/3) c. (3,4/3) d. (4/3,2/3)

A(-2, 2, 3) and B(13, -3, 13) and L is a line through A. Q. Equation of a line L, perpendicular to the line AB is