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QJEE MAIN 2025
Two equal sides of an isosceles triangle are along $-x+2 y=4$ and $x+y=4$. If m is the slope of its third side, then the sum,...
JEE MainMathematicsEasy
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QJEE MAIN 2025
Let $x = - 1$ and $x = 2$ be the critical points of the function $...
JEE MainMathematicsMedium
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QJEE MAIN 2025
Let the line L pass through (1,1,1) and intersect the lines $\frac{{x - 1}}{2} = \frac{{y + 1}}{3} = \frac{{z - 1}}{4}$ and $...
JEE MainMathematicsMedium
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QJEE MAIN 2025
For positive integers $n$, if $4 a_{n}=\left(n^{2}+5 n+6\right)$ and $S_{n}=\sum_{k=1}^{n}\left(\frac{1}{a_{k}}\right)$, then the value of $507 S_{2025}$ is:
JEE MainMathematicsEasy
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QJEE MAIN 2025
If A and B are the points of intersection of the circle $x^{2}+y^{2}-8 x=0$ and the hyperbola $\frac{x^{2}}{9}-\frac{y^{2}}{4}=1$ and a point $P$ moves on the...
JEE MainMathematicsEasy
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QJEE MAIN 2025
Let ABC be the triangle such that the equations of lines AB and AC be $3y - x = 2$ and $...
JEE MainMathematicsEasy
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QJEE MAIN 2025
Let $S$ be the set of all the words that can be formed by arranging all the letters of the word GARDEN. From the set...
JEE MainMathematicsEasy
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QJEE MAIN 2025
The mean and standard deviation of 100 observations are 40 and 5.1, respectively. By mistake one observation is taken as 50 instead of 40. If...
JEE MainMathematicsMedium
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QJEE MAIN 2025
From a group of 7 batsmen and 6 bowlers, 10 players are to be chosen for a team, which should include atleast 4 batsmen and...
JEE MainMathematicsMedium
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QJEE MAIN 2025
Let ${x_1},{x_2},{x_3},{x_4}$ be in a geometric progression. If 2,7,9,5 are subtracted respectively from ${x_1},{x_2},{x_3},{x_4}$, then the resulting numbers are in an arithmetic progression. Then the...
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