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A binary operation (ast) is defined on a set of real numbers by x (ast)…

A binary operation (ast) is defined on a set of real numbers by x (ast) y = xy for all real values of x and y. If x (ast) 2 = x. Find the possible values of x
  • A.
    0, 1
  • B.
    1, 2
  • C.
    2, 2
  • D.
    0, 2
Correct Answer: Option A
Explanation

x (ast) y = xy
x (ast) 2 = x2
x (ast) 2 = x
∴ x2 – x = 0
x(x – 1) = 0
x = 0 or 1

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