20 JEE Main Basic of Mathematics PYQs (2002–2026) with verified answers and step-by-step solutions.
This page collects every JEE Main Basic of Mathematics previous-year question from Mathematics, 2002–2026. Each links to a full solution with a verified answer key. Click any year above to narrow the list, or open a question to study its step-by-step working and then practice it on PrepSharp's CBT player.
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:
The product of all solutions of the equation e^5 ( e x )²+3=x⁸, x0, is :
The number of integral solution x of log x + 7 2 x - 7 2 x - 3 2 ≥ 0 is
Let a ,   b ,   c be the three distinct positive real numbers such that 2 a log e a = b c log e b and b log e…
If the solution of the equation log cos x cot x + 4 log sin x tan x = 1 ,   x ∈ 0 , π 2 is sin - 1 ^…
Let S = x ∈ - 6 , 3 - - 2 , 2 : x + 3 - 1 x - 2 ≥ 0 and T = x ∈ Z : x 2 - 7 x + 9 ≤ 0 . Then th…
Let A = x ∈ R : x + 1 < 2 and B = x ∈ R : x - 1 ≥ 2 . Then which one the following statements is…
If for x ∈ 0 , π 2 , log 10 sin x + log 10 cos x = - 1 and log 10 sin x + cos x = 1 2 log 10 n - 1 , n >…
Log in to unlock the full list, track what you've solved, and practice on the TCS iON-style CBT player. It's free.