Which of the following conditions exactly characterises a one–one function ?

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Which of the following conditions exactly characterises a one–one function f:X→Yf:X \to Y? (a) If x1=x2x_1=x_2, then f(x1)=f(x2)f(x_1)=f(x_2) (b) Every vertical line meets the graph of ff at most once (c) If f(x1)=f(x2)f(x_1)=f(x_2), then x1=x2x_1=x_2 (d) ff is both one–one and onto

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