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Is the given relation a function? Give reasons for your answer. h = {(4, 6), (3, 9), (– 11, 6), (3, 11)}

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प्रश्न

Is the given relation a function? Give reasons for your answer.

h = {(4, 6), (3, 9), (– 11, 6), (3, 11)}

योग
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उत्तर

h = {(4, 6), (3, 9), (– 11, 6), (3, 11)}

Therefore, element 3 has two images, namely, 9 and 11.

A relation is said to be function if every element of one set has one and only one image in other set.

Hence, h is not a function.

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अध्याय 2: Relations and Functions - Exercise [पृष्ठ २८]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 2 Relations and Functions
Exercise | Q 10.(i) | पृष्ठ २८

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