The relation R defined in A - defined in A -1-2-3 by aRb- if - a 2- b 2- - 5- Which of the following is false- A- R -1-1-2-2-3-3-2-11-2-2-33-2B- Domain of R -1-2-3C- Range of R -5D- R -1- R

The correct option is C Range of R = 5 R = (1, 1), (1, 2), (2, 1), (2, 2), (2, 3), (3, 2), (3, 3) R^ 1 = (y,x) : (x,y) ϵ R = (1, 1), (2, 1), (1, 2), (2, 2), ...

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Byju's Answer

Standard XII

Mathematics

Relation between AM,GM,HM for 2 Numbers

The relation ...

Question

The relation R defined in A = defined in A = {1, 2, 3} by aRb, if $| a^{2} - b^{2} | \leq 5$ . Which of the following is false?

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

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R^{- 1} = R

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Domain of R = {1, 2, 3}

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Range of R = {5}

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Solution

The correct option is D Range of R = {5}

R = {(1, 1), (1, 2), (2, 1), (2, 2), (2, 3), (3, 2), (3, 3)}
$R^{- 1}$ = { (y,x) : (x,y) $ϵ$ R}
= {(1, 1), (2, 1), (1, 2), (2, 2), (3, 2), (2, 3), (3, 3)} = R
Domain of R = {x : (x, y) $ϵ$ R} = {1, 2, 3}
Range of R = {y : (x, y) $ϵ$ R} = {1, 2, 3}

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

The correct option is D Range of R = {5} R = {(1, 1), (1, 2), (2, 1), (2, 2), (2, 3), (3, 2), (3, 3)} R−1 = { (y,x) : (x,y) ϵ R} = {(1, 1), (2, 1), (1, 2), (2, 2), (3, 2), (2, 3), (3, 3)} = R Domain of R = {x : (x, y) ϵ R} = {1, 2, 3} Range of R = {y : (x, y) ϵ R} = {1, 2, 3}

The relation R defined in A = defined in A = {1, 2, 3} by aRb, if $| a^{2} - b^{2} | \leq 5$ . Which of the following is false?

The correct option is D Range of R = {5}

R = {(1, 1), (1, 2), (2, 1), (2, 2), (2, 3), (3, 2), (3, 3)}
$R^{- 1}$ = { (y,x) : (x,y) $ϵ$ R}
= {(1, 1), (2, 1), (1, 2), (2, 2), (3, 2), (2, 3), (3, 3)} = R
Domain of R = {x : (x, y) $ϵ$ R} = {1, 2, 3}
Range of R = {y : (x, y) $ϵ$ R} = {1, 2, 3}