Question

11. Let A = {1, 2, 3, 4, and B = (a, b, c). Then number of one-one functions from A to
B are...............
(1) Let R be a relation defined as R = {(x. x). (y,y),(, 2), (1,2)) in set A- (1. y, z) then
Ris
(reflexive'symmetric) relation
12Find the value of : tan-1 (0) + eux-1(-1/2)+sin-1(-1/2)
13. Find the value of such that the points (0,21(1x) and (3,1) are collinear.
14. If A=(3-4-12), find marl B such that AB=1.
15.Construct a 3x4 matrix, whose elements are given by
A), -21)
B) a, --1-31+)​

Answer 1

Answer:

A={1,2,3,4,6}

R={(a,b):a,b∈A,b is exactly divisible by a}

(i) R={(1,1),(1,2),(1,3),(1,4),(1,6),(2,2),(2,4),(2,6),(3,3),(3,6),(4,4),(6,6)}

(ii) Domain of R={1,2,3,4,6}

(iii) Range of R={1,2,3,4,6}