Area Under The Curves PYQs - Last 5 Years
JEE Main / Mathematics / Calculus / 107 recent questions
MathematicsCalculus2022-2026
Practice 107 JEE Main Mathematics questions from Area Under The Curves. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
107
PYQs on Page
Mathematics / Calculus
2022-2026
Year Range
Based on indexed question metadata
107
Last 5 Years
2022-2026
107
Last 10 Years
2017-2026
Recent Year Trend
2022
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202226 max PYQs/year2026
Question Types
107PYQs
MCQ64.5%
INTEGER35.5%
Difficulty Mix
#1 Medium84
#2 Hard20
#3 Easy3
107 in last 5 years107 in last 10 years
Last 5 Years Area Under The Curves Questions
Showing 7 of 107 filtered questions.
1Area Under The Curves
The area bounded by the curves \(y=\left|x^{2}-1\right|\) and \(y=1\) is
MCQ+4 / -12022
2Area Under The Curves
The area of the region enclosed between the parabolas y2 = 2x \(-\) 1 and y2 = 4x \(-\) 3 is
MCQ+4 / -12022
3Area Under The Curves
Let the locus of the centre \((\alpha, \beta), \beta>0\), of the circle which touches the circle \(x^{2}+(y-1)^{2}=1\) externally and also touches the \(x\)-axis be \(\mathrm{L}\). Then the area bounded by \(\mathrm{L}\) and the line $$y=4$...
MCQ+4 / -12022
4Area Under The Curves
The area of the region given by
\(A=\left\{(x, y): x^{2} \leq y \leq \min \{x+2,4-3 x\}\right\}\) is :
\(A=\left\{(x, y): x^{2} \leq y \leq \min \{x+2,4-3 x\}\right\}\) is :
MCQ+4 / -12022
5Area Under The Curves
Let the area enclosed by the x-axis, and the tangent and normal drawn to the curve \(4{x^3} - 3x{y^2} + 6{x^2} - 5xy - 8{y^2} + 9x + 14 = 0\) at the point (\(-\)2, 3) be A. Then 8A is equal to ______________.
INTEGER+4 / -12022
6Area Under The Curves
Let S be the region bounded by the curves y = x3 and y2 = x. The curve y = 2|x| divides S into two regions of areas R1, R2. If max {R1, R2} = R2, then \({{{R_2}} \over {{R_1}}}\) is equal to ______________.
INTEGER+4 / -12022
7Area Under The Curves
The area (in sq. units) of the region enclosed between the parabola y2 = 2x and the line x + y = 4 is __________.
INTEGER+4 / -12022