If A -2-3-5-6- B -4-8-15-17 a R b - a divides b- Find domain and range-

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Standard XI

Mathematics

Definition of Relations

If A =2,3,5,6...

Question

If A = {2, 3, 5, 6}, B = {4, 8, 15, 17} a R b $\Rightarrow$ a divides b. Find domain and range.

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Solution

A = {2, 3, 5, 6}

B = {4, 8, 15, 17}

a R b $\Rightarrow$ a divides b

R = {(2, 4), (2, 8), (3, 15), (5, 15)}

Domain of R = set of first components of all the ordered pairs which belong to R

Domain = {2, 3, 5}

Range of R = set of second components of all the ordered pairs which belong to R

Range = {4, 8, 15}

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If A = {2, 3, 5, 6}, B = {4, 8, 15, 17} a R b ⇒ a divides b. Find domain and range.

A = {2, 3, 5, 6} B = {4, 8, 15, 17} a R b ⇒ a divides b R = {(2, 4), (2, 8), (3, 15), (5, 15)} Domain of R = set of first components of all the ordered pairs which belong to R Domain = {2, 3, 5} Range of R = set of second components of all the ordered pairs which belong to R Range = {4, 8, 15}

If A = {2, 3, 5, 6}, B = {4, 8, 15, 17} a R b $\Rightarrow$ a divides b. Find domain and range.