JEE Main · 2025 · 07 Apr 2025 · Shift 1 · Area Under Curves

More JEE Main questions on Area Under Curves

1. The area of the region, inside the ellipse $x^2+4y^2=4$ and outside the region bounded by the curves $\mathrm{y}=|\mathrm{x}|-1$ and $\mathrm{y}=1-|\mathrm{x}|$, is :
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2. If the area of the region $\{(x,y):1-2x\le y\le 4-x^2,x\ge 0,y\ge 0\}$ is $\frac{\alpha }{\beta }$, $\alpha ,\beta \in \mathbf{N}$, $\gcd (\alpha ,\beta )=1$, then the value of $(\alpha +\beta )$ is :
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3. Let the line $\mathrm{x}=-1$ divide the area of the region $\left\{(x,y):1+x^2\le y\le 3-x\right\}$ in the ratio $m:n,\gcd (\mathrm{m},\mathrm{n})=1$. Then $\mathrm{m}+\mathrm{n}$ is equal to
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4. The area of the region
   $A=\{(x,y):4x^2+y^2\le 8\text{ and }{y}^2\le 4x\}$ is :
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5. Let the area of the region bounded by the curve $y=\max \{\sin x,\cos x\}$, lines $x=0,x=\frac{3\pi }{2}$, and the x-axis be A. Then, $A+A^2$ is equal to ______.
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6. The area of the region enclosed between the circles $x^2+y^2=4$ and $x^2+(y-2{)}^2=4$ is :
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