JEE MainMathematicsArea Under Curves

JEE Main Mathematics — Area Under Curves Previous-Year Questions

182 JEE Main Area Under Curves PYQs (2002–2026) with verified answers and step-by-step solutions.

This page collects every JEE Main Area Under Curves 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.

  1. Q12026MCQMedium

    The area of the region \(x, y) : x² - 8x ≤ y ≤ -x\ is :

  2. Q22026MCQMedium

    The area of the region \(x, y) : 0 ≤ y ≤ 6 - x, y² ≥ 4x - 3, x ≥ 0\ is:

  3. Q32026MCQHard

    The area of the region \(x, y): y ≤ π - |x|, y ≤ |x x|, y ≥ 0\ is:

  4. Q42026NumericalMedium

    Let the area of the region bounded by the curve y= x, x\, lines x=0, x=(3 π)/(2), and the x-axis be A. Then, A+A² is eq…

  5. Q52026MCQHard

    The area of the region enclosed between the circles x²+y²=4 and x²+(y-2)²=4 is:

  6. Q62026NumericalHard

    If the area of the region bounded by 16x² - 9y² = 144 and 8x - 3y = 24 is A, then 3(A + 6 (3)) is equal to _______.

  7. Q72026MCQMedium

    Let f(α) denote the area of the region in the first quadrant bounded by x=0, x=1, y²=x and y=|α x-5|-|1-α x|+α x². Then…

  8. Q82026MCQHard

    If the area of the region \(x, y): 1-2 x y 4-x², x 0, y 0 \ is (α)/(β), α, β N, gcd(α, β)=1, then the value of (α+β) is…

  9. Q92026MCQMedium

    The area of the region R = \(x, y): xy ≤ 27, 1 ≤ y ≤ x²\ is equal to:

  10. Q102026MCQMedium

    Let the line x=-1 divide the area of the region \(x, y): 1+x² ≤ y ≤ 3-x \ in the ratio m: n, gcd(m, n)=1. Then m+n is e…

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Frequently asked questions

How many JEE Main Area Under Curves previous-year questions are there?
PrepSharp has 182 JEE Main Area Under Curves PYQs spanning 2002–2026, each with a verified answer and a step-by-step solution.
Is Area Under Curves important for JEE Main?
Area Under Curves appears regularly in JEE Main Mathematics. Practising its previous-year questions is one of the most reliable ways to cover the patterns the exam repeats.
Can I see Area Under Curves solutions for free?
Yes. Open any question to read the full step-by-step solution and verified answer key for free.