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MHT CET 2023 Mathematics question

MathematicsLimitMHT CET 2023

Let f(x) = 5 - |x - 2| and g(x) = |x + 1|, . If f(x) attains maximum value at and g(x) attains minimum value at , then is equal to

Answer: (A)

Solution

is largest when , so (maximum value 5). is smallest when , so (minimum value 0). Then , and we need . Factorise:

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Question ID VK-098254