Maxima and Minima_JEE-Main 050424_(S2) - Competishun – Live JEE & NEET Courses and Exam Prep

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JEE Main 2024

05-04-2024 S2

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Let the maximum and minimum values of $\left(\sqrt{8 x-x^2-12}-4\right)^2+(x-7)^2, x \in R$ be $M$ and $m$ respectively. Then $\mathrm{M}^2-\mathrm{m}^2$ is equal to $\_\_\_\_$ .

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QJEE Main 20242024

Let the maximum and minimum values of $\left(\sqrt{8 x-x^2-12}-4\right)^2+(x-7)^2, x \in R$ be $M$ and $m$ respectively. Then $\mathrm{M}^2-\mathrm{m}^2$ is...

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Let a>0 be a root of the equation $2 \mathrm{x}^2+\mathrm{x}-2=0$. If $\lim _{x \rightarrow \frac{1}{a}} \frac{16\left(1-\cos \left(2+x-2 x^2\right)\right)}{\left(1-a x^2\right)}=\alpha+\beta \sqrt{17}$,...

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If $1+\frac{\sqrt{3}-\sqrt{2}}{2 \sqrt{3}}+\frac{5-2 \sqrt{6}}{18}+\frac{9 \sqrt{3}-11 \sqrt{2}}{36 \sqrt{3}}+\frac{49-20 \sqrt{6}}{180}+\cdots$. upto $\infty=2\left(\sqrt{\frac{b}{a}}+1\right) \log _e\left(\frac{a}{b}\right)$, where a and b are integers with $...

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Let $\alpha \beta \neq 0$ and $...

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The values of $m, n$, for which the system of equations
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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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