Area Under The Curves — JEE Main Previous Year Questions

How many JEE Main questions come from Area Under The Curves?

Area Under The Curves has contributed 155 questions to Joint Entrance Examination (Main) papers between 2016 and 2026 — an average of about 14 questions a year. That count is measured from EByAi’s bank of 55,289 JEE Main questions, not estimated from a syllabus. Every one of the 155 questions carries a written, step-by-step solution, and each is tagged to Area Under The Curves within Mathematics, so you can drill this chapter across every year at once instead of hunting through paper PDFs. Practising a chapter’s full PYQ history is the fastest way to learn the patterns examiners reuse.

Sample Area Under The Curves questions from real JEE Main papers

These are 5 real questions from the bank — exactly as asked, with the answer one tap away. All 155 Area Under The Curves questions (with full written solutions) are available in practice.

1. Question 1 · JEE Main 2019

   If the area enclosed between the curves y = kx^2 and x = ky^2 , (k > 0), is 1 square unit, then k is -
   1. (A)$$\sqrt{3}$$
   2. (B)$$\frac{\sqrt{3}}{2}$$
   3. (C)$$\frac{2}{\sqrt{3}}$$
   4. (D)$$\frac{1}{\sqrt{3}}$$
   Show answerAnswer

   Answer: (D) $\frac{1}{\sqrt{3}}$

2. Question 2 · JEE Main 2026

   The area of the region $\left\{(x,y):x^2-8x\le y\le -x\right\}$ is :
   1. (A)$\frac{343}{6}$
   2. (B)$\frac{637}{6}$
   3. (C)$\frac{437}{6}$
   4. (D)$\frac{523}{6}$
   Show answerAnswer

   Answer: (A) $\frac{343}{6}$

3. Question 3 · JEE Main 2026

   The area of the region $\{(x,y):y\le \pi -|x|,y\le |x\sin x|,y\ge 0\}$ is:
   1. (A)$1+\frac{{\pi }^2}{8}$
   2. (B)$2+\frac{{\pi }^2}{4}$
   3. (C)$\frac{{\pi }^2}{8}-1$
   4. (D)$4+\frac{{\pi }^2}{2}$
   Show answerAnswer

   Answer: (B) $2+\frac{{\pi }^2}{4}$

4. Question 4 · JEE Main 2026

   The area of the region bounded by the curves $x+3y^2=0$ and $x+4y^2=1$ is equal to :
   1. (A)$\frac{1}{3}$
   2. (B)$\frac{2}{3}$
   3. (C)$\frac{4}{3}$
   4. (D)$\frac{5}{3}$
   Show answerAnswer

   Answer: (C) $\frac{4}{3}$

5. Question 5 · JEE Main 2026

   The area of the region $\left\{(x,y):0\le y\le 6-x,y^2\ge 4x-3,x\ge 0\right\}$ is :
   1. (A)8
   2. (B)9
   3. (C)12
   4. (D)15
   Show answerAnswer

   Answer: (B) 9

Area Under The Curves questions by year

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