JEE Main2014MathematicsSets and RelationsActual
A relation on the set A = x :| x | < 3, x Z , where Z is the set of integers is defined by R = ( x , y ): y =| x |, x -1 . Then the number of elements in the power set of R is:
Options
- A32
- B16
- C8
- D64
Correct answer
B. 16
Step-by-step solution
aligned & A = x:|x| < 3, x Z & A = -2,-1,0,1,2 & R = (x, y): y=|x|, x -1 & R = (-2,2),(0,0),(1,1),(2,2) aligned R has four elements Number of elements in the power set of R =2^4=16