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QJEE MAIN 2025
Let the line $x + y = 1$ meet the circle ${x^2} + {y^2} = 4$ at the points A and B . If the...
JEE MainMathematicsMedium
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QJEE MAIN 2025
The integral $80\int_0^{\frac{\pi }{4}} {\left( {\frac{{\sin \theta + \cos \theta }}{{9 + 16\sin 2\theta }}} \right)} d\theta $ is equal to :
JEE MainMathematicsEasy
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QJEE MAIN 2025
The number of solutions of the equation $...
JEE MainMathematicsEasy
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QJEE MAIN 2025
Let $y = y(x)$ be the solution of the differential equation $...
JEE MainMathematicsMedium
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QJEE MAIN 2025
Let the ellipse ${{\rm{E}}_1}:\frac{{{x^2}}}{{{{\rm{a}}^2}}} + \frac{{{y^2}}}{{\;{{\rm{b}}^2}}} = 1,{\rm{a}} > {\rm{b}}$ and ${{\rm{E}}_2}:\frac{{{x^2}}}{{\;{{\rm{A}}^2}}} + \frac{{{y^2}}}{{\;{{\rm{B}}^2}}} = 1,\;{\rm{A}} < {\rm{B}}$ have same eccentricity $\frac{1}{{\sqrt 3 }}$ ....
JEE MainMathematicsMedium
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QJEE MAIN 2025
Define a relation R on the interval $\left[ {0,\frac{\pi }{2}} \right)$ by if and only if ${\sec ^2}x - {\tan ^2}y = 1$. Then R...
JEE MainMathematicsEasy
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QJEE MAIN 2025
The least value of n for which the number of integral terms in the Binomial expansion of ${(\sqrt[3]{7} + \sqrt[{12}]{{11}})^n}$ is 183, is :
JEE MainMathematicsEasy
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QJEE MAIN 2025
Let P be the set of seven digit numbers with sum of their digits equal to 11 . If the numbers in P are formed...
JEE MainMathematicsMedium
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QJEE MAIN 2025
Let the area of the region $\left\{ {(x,y):2y \le {x^2} + 3,y + |x| \le 3,y \ge |x - 1|} \right\}$ be A . Then...
JEE MainMathematicsMedium
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QJEE MAIN 2025
The molar mass of the water insoluble product formed from the fusion of chromite ore (${\rm{FeC}}{{\rm{r}}_2}{{\rm{O}}_4}$) with ${\rm{N}}{{\rm{a}}_2}{\rm{C}}{{\rm{O}}_3}$ in presence of ${{\rm{O}}_2}$ is _______ $...
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