JEE Main 2014 · 12 Apr · Shift 1 · Mathematics Q61

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MathematicsSingle correct+4 / -1Question 61 of 90

A relation on the set $A=\{x:|x|<3,\ x\in Z\}$ , where $Z$ is the set of integers is defined by $R=\{(x,y):y=|x|,\ x\ne-1\}$ . Then the number of elements in the power set of R is :

Answer and worked solution

Official answer: B

$A=\{-2,-1,0,1,2\}$ . With $x\ne-1$ , R has the pairs $(-2,2),(0,0),(1,1),(2,2)$ : 4 elements. Its power set has $2^4=16$ elements.

Topics:Relations Sets and operations

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JEE Main 2014 · 12 Apr · Shift 1, Mathematics question 61