JEE MAINS · Mathematics
Area Under Curves
136 practice questions for JEE Mains — 5 easy · 40 medium · 91 hard. Every question is graded instantly with a step-by-step solution when you miss it.
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MCQ
The area of the region included between the curves $x^{2}+y^{2}=a^{2}$ and $\sqrt{\left|x\right|}+\sqrt{\left|y\right|}=\sqrt{a}\left(a>0\right)$ is
MCQ
The area (in sq. units) of the region, given by the set $\left{\left(x,y\right)\in\,R\times\,R\mid\,x\geq\,0,2x^{2}\leq\,y\leq\,4-2x\right}$ is :
MCQ
Given: $f\left(x\right)=\left{\begin{matrix} \begin{matrix} x,0\leq\,x<\frac{1}{2} \\ \frac{1}{2},x=\frac{1}{2} \end{matrix} \\ 1-x,\frac{1}{2}<x\leq\,1 \end{matrix}\right$ and…
MCQ
The area of the region given by $\left{\left(x,y\right):xy\leq\,8,1\leq\,y\leq\,x^{2}\right}$ is :
MCQ
The region represented by $\left|x-y\right|\leq\,2$ and $\left|x+y\right|\leq\,2$ is bounded by a
MCQ
Let $A=\left{\left(x,y\right):y^{2}\leq\,4x,y-2x\geq\,-4\right}$. The area of the region$A$in square unitsis
MCQ
The area (in square units) bounded by the curves $y=\sqrt{x},2y-x+3=0$, $X$-axis and lying in the first quadrant is
MCQ
If the area (in sq. units) bounded by the parabola $y^{2}=4\lambda\,x$ and the line $y=\lambda\,x,\lambda\,>0,$ is $\frac{1}{9}$, then $\lambda\,$ is equal to
MCQ
The area under the curve $y=|\cos x-\sin x|$, $0 \leq x \leq \frac{\pi}{2}$, and above $x$-axis is :
MCQ
The area enclosed by $y^{2}=8x$and$y=\sqrt{2}x$that lies outside the triangle formed by $y=\sqrt{2}x,x=1,y=2\sqrt{2}$, is equal to
MCQ
The odd natural number a, such that the area of the region bounded by $y=1,y=3,x=0,x=y^{a}$is $\frac{364}{3}$, equal to:
MCQ
The area of the region given by $A=\left{\left(x,y\right):x^{2}\leq\,y\leq\,\min\,\left{x+2,4-3x\right}\right}$ is