Let f(x)= _ y 0 (1- (xy)) (xy) y^3 . Then the number of solutions of the equation f(x)=sinx, x∈ℝ is:

JEE Main 2026 Mathematics question

Let . Then the number of solutions of the equation f(x)=sinx, x∈ℝ is:

Answer: (C)

For small u=xy, (1−cosu)tanu≈u³/2, so f(x)=x³/2. The equation x³=2sinx has 3

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

Question ID VK-015426