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JEE MAIN 2025
24-01-2025 SHIFT-1
Question
The area of the region $\left\{ {(x,y):{x^2} + 4x + 2 \le y \le |x + 2|} \right\}$ is equal to
Select the correct option:
A
24/5
B
5
C
20/3
D
7
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
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Solution
Question Tags
JEE Main
Mathematics
Easy
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Let the area enclosed by the $x$-axis, and the tangent and normal drawn to the curve $...
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Let $x=\sin \left(2 \tan ^{-1} \alpha\right)$ and $y=\sin \left(\frac{1}{2} \tan ^{-1} \frac{4}{3}\right)$. If $S=\left\{\alpha \in \mathbb{Z}: y^2=1-x\right\}$, then $...
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JEE MAIN 2022
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If the circles $x^2+y^2+6 x+8 y+16=0$ and $x^2+y^2+2^{(3-\sqrt{3})} x+2^{(4-\sqrt{6})} y=k+6 \sqrt{3}+8 \sqrt{6}, k>0$, touch internally at the point $\mathbf{P}(\alpha, \beta)$,...
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JEE MAIN 2022
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Let $a_n=\int_{-1}^n\left(1+\frac{x}{2}+\frac{x^2}{3}+\ldots . .+\frac{x^{n-1}}{n}\right) d x$ for every $n \in N$. Then the sum of all the elements of the...
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Let $f$ be a twice differentiable function on $R$. If $f^{\prime}(0)=4$ and $...
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Let $y=y(x)$ be the solution of the differential equation $\frac{d y}{d x}=\frac{4 y^3+2 y x^2}{3 x y^2+x^3}, y(1)=1$. If for...
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JEE MAIN 2022
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The sum of the maximum and minimum values of the function $f(x)=|5 x-7|+\left[x^2+2 x\right]$ in the interval $\left[\frac{5}{4}, 2\right]$, where...
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JEE MAIN 2022
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Let $...
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Let $f(x)$ be a quadratic polynomial with leading coefficient 1 such that $f(0)=p, p \neq 0$, and $f(1)=\frac{1}{3}$. If the...
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Consider the following statements : P : Ramu is intelligent. Q : Ramu is rich. R : Ramu is not...
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$2 \sin \left(\frac{\pi}{22}\right) \sin \left(\frac{3 \pi}{22}\right) \sin \left(\frac{5 \pi}{22}\right) \sin \left(\frac{7 \pi}{22}\right) \sin \left(\frac{9 \pi}{22}\right)$ is equal to :
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If the mean deviation about median for the number 3, 5, 7, 2k, 12, 16, 21, 24 arranged in the...
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JEE MAIN 2022
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The shortest distance between the lines $\frac{x+7}{-6}=\frac{y-6}{7}=z$ and $\frac{7-x}{2}=y-2=z-6$ is
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