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QJEE MAIN_2022
The odd natural number $a$, such that the area of the region bounded by $y=1, y=3, x \mid=0, x=y^a$ is $\frac{364}{3}$, equal to
JEE MainMathematicsEasy
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QJEE MAIN 2022
Let $a, b$ be two non-zero real numbers. If $p$ and $r$ are the roots of the equation $x^2-8 a x+2 a=0$ and $q$ and...
JEE MainMathematicsMedium
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QJEE MAIN 2022
JEE MainChemistryMedium
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QJEE MAIN 2022
If the maximum value of the term independent of $t$ in the expansion of $\left(t^2 x^{\frac{1}{5}}+\frac{(1-x)^{\frac{1}{10}}}{t}\right)^{15}, x \geq 0$ is $K$, then $8 K$ equal...
JEE MainMathematicsMedium
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QJEE MAIN_2022
Let A be a 2 × 2 matrix with det (A) = –1 and det ((A + I) (Adj (A) + I)) = 4. Then...
JEE MainMathematicsHard
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QJEE MAIN 2022
The number of stereoisomers formed in a reaction of $( \pm) \mathrm{Ph}(\mathrm{C}=\mathrm{O}) \mathrm{C}(\mathrm{OH})(\mathrm{CN}) \mathrm{Ph}$ with HCN is $\_\_\_\_$ .
JEE MainChemistryEasy
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QJEE MAIN 2022
A car covers $A B$ distance with first one-third at velocity $\mathrm{v}_1 \mathrm{~ms}^{-1}$, second one-third at $\mathrm{v}_2 \mathrm{~ms}^{-1}$ and last onethird at $v_3 \mathrm{~ms}^{-1}$. If...
JEE MainPhysicsEasy
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QJEE MAIN 2022
The letters of the word ‘MANKIND’ are written in all possible orders and arranged in serial order as in an English dictionary. Then the serial...
JEE MainMathematicsMedium
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QJEE MAIN_2022
If the system of linear equations. $$ \begin{aligned} & 8 x+y+4 z=-2 \\ & x+y+z=0 \\ & \lambda x-3 y=\mu \end{aligned} $$ has infinitely many...
JEE MainMathematicsEasy
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QJEE MAIN 2022
Let $A=\left[\begin{array}{ccc}2 & -1 & -1 \\ 1 & 0 & -1 \\ 1 & -1 & 0\end{array}\right]$ and $B=A-I$. If $\omega=\frac{\sqrt{3} i-1}{2}$, then the...
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