Q.

9.The relation R defined in A={1,2,3} by aRb,if a2+b25.Which of the following is false?

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a

3.Domain of R={1,2,3}

b

2.R-1=R

c

4.Range of R={5}

d

1.R={(1,1),(2,2)(3,3)(2,1),(1,2),(2,3)(3,2)

answer is D.

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Detailed Solution

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R={(1,1)(1,2)(2,1),(2,2)(2,3),(3,2)(3,3)

Now,R={(y,x):(x,y)R

          ={(1,1),(2,1),(1,2)(2,2)(3,2)(2,3)(3,3)}=R

Domain of R={x:(x,y)R}={1,2,3}

Range of R={y:(x,y)R}={1,2,3}

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9.The relation R defined in A={1,2,3} by aRb,if a2+b2≤5.Which of the following is false?