Question

Figure shows a relation between set P and Q such that x $\in$ P, y $\in$ 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}
• B. R = {(x, y): x is the square of y}, Domain = {9, 4, 25, 36}, Range = {-2, 2, -3, 3, -5, 5, -6, 6}
• 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}
• D. R = {(x, y): x is the square of y}, Domain = {9, 4, 25}, Range = {1, -2, 2, -3, 3, -4, 4}

Answer 1

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 = $y^2$

R = {(x, y): x is the square of y, x $\in$ P, y $\in$ Q}

Domain = {9, 4, 25, 36}

Range = {-2, 2, -3, 3, -5, 5, -6, 6}