Question

# Figure shows a relation between set P and Q such that x ∈ P, y ∈ Q. What is the relation, domain and range?

A

R = {(x, y): y is the square of x}, Domain = {9, 4, 25, 36}, Range = {-2, 2, -3, 3, -4, 4, -5, 5}

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B

R = {(x, y): x is the square of y}, Domain = {9, 4, 25, 36}, Range = {-2, 2, -3, 3, -5, 5, -6, 6}

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C

R = {(x, y): y is the square of x}, Domain = {9, 4, 25, 36}, Range = {-2, 2, -3, 3, -5, 5, -6, 6, -4, 4}

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D

R = {(x, y): x is the square of y}, Domain = {9, 4, 25}, Range = {1, -2, 2, -3, 3, -4, 4}

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Solution

## The correct option is B R = {(x, y): x is the square of y}, Domain = {9, 4, 25, 36}, Range = {-2, 2, -3, 3, -5, 5, -6, 6} The Relation R is "x is the square of y” x = y2 R = {(x, y): x is the square of y, x ∈ P, y ∈ Q} Domain = {9, 4, 25, 36} Range = {-2, 2, -3, 3, -5, 5, -6, 6}

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