JEE Main 2015 Mathematics question

Mathematics Definite Integration JEE Main 2015

Let be a function such that and , for all and . Then the value of is

(1)100Correct
(2)125
(3)80
(4)200

Answer: (1)

Solution

Each condition says the graph is symmetric about a vertical line — about and about . A function with two lines of symmetry is periodic, with period twice the distance between them: . (Formally, chains to give

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Question ID VK-115396