10.Let R be a relation in N defined by R={(1+x,1+x2):x≤5,x≤N}.Which of the following is false?
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a
1.R={(2,2)(3,5)(4,10)(5,17)(6,25)}
b
2.Domain of R={2,3,4,5,6}
c
3.Range of R={2,5,10,17,26}
d
4.At least one is false
answer is A.
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Detailed Solution
R={(1+1,1+1),(1+2,1+4)(1+3,1+9)(1+4,1+16)(1+5,1+25) ={(2,2),(3,5)(4,10)(5,17)(6,26)}Domain of R={x:(x,y)∈R}={2,3,4,5,6}Range of R={y:(x,y)∈R}={2,5,10,17,26}