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JEE MAIN 2024
08-04-24 S1
Question
If $\sin x = - \frac{3}{5}$, where $\pi < x < \frac{{3\pi }}{2}$, then $80\left( {{{\tan }^2}x - \cos x} \right)$ is equal to :
Select the correct option:
A
109
B
108
C
18
D
19
βœ“ Correct! Well done.
βœ— Incorrect. Try again or view the solution.
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Showing 18 questions
QJEE Main 20242024
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If the constant term in the expansion of $\left(\frac{\sqrt[5]{3}}{x}+\frac{2 x}{\sqrt[3]{5}}\right)^{12}, x \neq 0$, is $\alpha \times 2^8 \times \sqrt[5]{3}$, then...
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Let $(\alpha, \beta, \gamma)$ be the point $(8,5,7)$ in the line $\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-2}{5}$. Then $\alpha+\beta+\gamma$ is equal to
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Consider three vectors $\vec{a}, \vec{b}, \vec{c}$. Let $|\vec{a}|=2,|\vec{b}|=3$ and $\overrightarrow{\mathrm{a}}=\overrightarrow{\mathrm{b}} \times \overrightarrow{\mathrm{c}}$. If $\alpha \in\left[0, \frac{\pi}{3}\right]$ is the angle between...
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QJEE Main 20242024
Let $\vec{a}=2 \hat{\imath}+5 \hat{\jmath}-\hat{k}, \vec{b}=2 \hat{\imath}-2 \hat{\jmath}+2 \hat{k}$ and $\overrightarrow{\mathrm{c}}$ be three vectors such that $(\vec{c}+\hat{\imath}) \times(\vec{a}+\vec{b}+\hat{\imath})=\vec{a} \times(\vec{c}+\hat{\imath})$. $...
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QJEE Main 20242024
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The area enclosed between the curves $y=x|x|$ and $\mathrm{y}=\mathrm{x}-|\mathrm{x}|$ is :
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QJEE Main 20242024
Let $S_1=\{z \in C:|z| \leq 5\}, S_2=\left\{z \in C: \operatorname{Im}\left(\frac{z+1-\sqrt{3} i}{1-\sqrt{3} i}\right) \geq 0\right\}$ and $...
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QJEE Main 20242024
The differential equation of the family of circles passing the origin and having center at the line $\mathrm{y}=\mathrm{x}$ is :
JEE MainMathematicsEasy
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QJEE Main 20242024
Let $f:[-1,2] \rightarrow \mathrm{R}$ be given by $f(\mathrm{x})=2 \mathrm{x}^2+\mathrm{x}+\left[\mathrm{x}^2\right]-[\mathrm{x}]$, where $[\mathrm{t}]$ denotes the greatest integer less than or equal to...
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