Q. 8

Mark the correct alternative in the following:

Which of the following are functions?

A. {(x, y) : y2 = x, x, y R}

B. {(x, y) : y = |x|, x, y, R}

C. {(x, y) : X2 + y2 = 1, x, y R}

D. {(x, y) : x2 – y2 = 1, x, y R}

Answer :

A function is said to exist when we get a unique value of y for any value of x..If we get 2 values of y for any value of x, then it is not a function..

Therefore, option B is correct .

NOTE: To check if a given curve is a function or not, draw the curve and then draw a line parallel to y-axis..If it intersects the curve at only one point, then it is a function, else not..

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