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NUMBER SYSTEMS - NCERT

NUMBER SYSTEMS - NCERT

www.ncert.nic.in

2 EXEMPLAR PROBLEMS • If r is a rational number and s is an irrational number, then r+s and r-s are irrationals. Further, if r is a non-zero rational, then rs and r s are irrationals. • For positive real numbers a and b : (i) ab a b= (ii) aa b b = (iii) (ab ab+−)( )=−ab (iv) (a ba b+−)( )=−ab2 (v) ab+ 2 =+ +a ab b2 • If p and q are rational numbers and a is a positive real number ...

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Ch 1 17.03.08 - National Council Of Educational …

Ch 1 17.03.08 - National Council Of Educational …

ncert.nic.in

2 EXEMPLAR PROBLEMSMATHEMATICS (c) Intervals closed at one end and open at the other are given by [a, b) = {x: a ≤ x < b}(a, b] = {x: a < x ≤ b}1.1.7 Power set The collection of all subsets of a set A is called the power set of A. It is denoted by P(A). If the number of elements in A = n, i.e., n(A) = n, then the number of elements in P(A) = 2n.

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