Let f: [0, 2] R be the function defined by f(x) = (3 - (2 x)) ( x - 4 ) - (3 x + 4 ). If , [0, 2] are such that x [0, 2] : f(x) 0 = [ , ], then the value of - is _____

JEE Advanced 2020 Mathematics question

Let be the function defined by

f(x) = (3 - (2π x))(π x - ) - (3π x + ).

If are such that , then the value of is

Answer: 1

Put , so . Then , and . Hence \cos\sin\sin$3t =

Create a free account to read the complete working, and practise questions like this in a timed test.

Question ID VK-033782