JEE ADVANCED · Mathematics
Area Under Curves
63 practice questions for JEE Advanced — 0 easy · 22 medium · 41 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 bounded by the curve $y=\left|x^{2}-9\right|$and the line $y=3$is
MCQ
The area enclosed by the curves$xy+4y=16$and$x+y=6$is equal to:
MCQ
Let $q$be the maximum integral value of $p$ in $\left[0,10\right]$ for which the roots of the equation $x^{2}-px+\frac{5}{4}p=0$are rational. Then the area of the region…
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
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 (in sq. units) of the region $A={(x,y):(x-1)[x]\leq\,y\leq\,2\sqrt{x},0\leq\,x\leq\,2},$ where$[t]$ denotes the greatest integer function, is :
MCQ
The region represented by $\left|x-y\right|\leq\,2$ and $\left|x+y\right|\leq\,2$ is bounded by a
MCQ
The area of the region $($in square units$)$ above the $x$-axis bounded by the curve $y=\tan\,x,0\leq\,x\leq\,\frac{\pi\,}{2}$and the tangent to the curve at $x=\frac{\pi\,}{4}$is
MCQ
The area enclosed by the curves $y=\log\,_{e}\left(x+e^{2}\right),x=\log\,_{e}\left(\frac{2}{y}\right)$and $x=\log\,_{e}2$, above the line $y=1$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
Consider the line $x=\sqrt{3} y$ and the circle $x^2+y^2=4$. What is the area of the region in the first quadrant enclosed by the $x$-axis, the line $x=\sqrt{3} y$ and the circle?