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QJEE MAIN 2023
Let $a_1, a_2, a_{3, \ldots . .}$ be a G.P. of increasing positive numbers. Let the sum of its 6th and 8th terms be 2...
JEE MainMathematicsEasy
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QJEE MAIN 2023
Let a die be rolled $n$ times. Let the probability of getting odd numbers seven times be equal to the probability of getting odd numbers...
JEE MainMathematicsMedium
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QJEE MAIN 2023
Let $\alpha, \beta$ be the roots of the equation $x^2-\sqrt{2} x+2=0$. Then $\alpha^{14}+\beta^{14}$ is equal to
JEE MainMathematicsMedium
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QJEE MAIN 2023
Let $A$ be the point $(1,2)$ and $B$ be any point on the curve $x^2+y^2=16$. If the centre of the locus of the point $P$,...
JEE MainMathematicsMedium
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QJEE MAIN 2023
The sum of all values of a, for which the points whose position vectors $\hat{i}-2 \hat{j}+3 \hat{k}, 2 \hat{i}-3 \hat{j}+4 \hat{k},(\alpha+1) \hat{i}+2 \hat{k}$ and $...
JEE MainMathematicsEasy
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QJEE-Main 08-04-2023
Let an be the nth term of the series 5 + 8 + 14 + 23 + 35 + 50 + … and . Then$...
JEE MainMathematicsEasy
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QJEE MAIN 2023
If $A=\frac{1}{5!6!7!}\left[\begin{array}{lll}5! & 6! & 7! \\ 6! & 7! & 8! \\ 7! & 8! & 9!\end{array}\right]$, then $|\operatorname{adj}(\operatorname{adj}(2 A))|$ is equal to :
JEE MainMathematicsMedium
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QJEE MAIN 2023
The plane, passing through the points (0, –1, 2) and (–1, 2, 1) and parallel to the line passing through (5, 1, –7) and (1,...
JEE MainMathematicsEasy
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QJEE MAIN 2023
If the solution curve f(x, y)=0 of the differential equation $\left(1+\log _e x\right) \frac{d x}{d y}-x \log _e x=e^y, x>0, y$ passes through the points...
JEE MainMathematicsMedium
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QJEE MAIN 2023
Let $A=\{2,3,4\}$ and $B=\{8,9,12\}$. Then the number of elements in the relation $R=\left\{\left(\left(a_1, b_1\right),\left(a_2, b_2\right)\right)\right. \in(A \times B, A \times B): a_1$ divides $b_2$ and...
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