3 JEE Main 2026 Basic of Mathematics previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2026 previous-year questions from the Basic of Mathematics chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Basic of Mathematics chapter hub.
The number of the real solutions of the equation: x|x+3|+|x-1|-2=0 is
The sum of squares of all the real solutions of the equation ₍x₊₁₎(2x²+5x+3) = 4 - ₍₂x₊₃₎(x²+2x+1) is equal to ________.
If the set of all solutions of |x² + x - 9| = |x| + |x² - 9| is [α, β] [γ, ∞), then (α² + β² + γ²) is equal to: