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JEE Mathematics / Practice

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Showing 7471-7475 of 7517 questions.

JEE Main 2021 (Online) 1st September Evening ShiftQuestion 7471
The range of the function $f(x)=\log_{\sqrt5}\left(3+\cos\left(\frac{3\pi}4+x\right)+\cos\left(\frac\pi4+x\right)+\cos\left(\frac\pi4-x\right)-\cos\left(\frac{3\pi}4-x\right)\right)$ is :
Functions
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JEE Main 2023 (Online) 31st January Morning ShiftQuestion 7472
Let a circle $C_1$ be obtained on rolling the circle $x^2+y^2-4x-6y+11=0$ upwards $4$ units on the tangent $T$ to it at the point $(3,2)$. Let $C_2$ be the image of $C_1$ in $T$. Let $A$ and $B$ be the centers of circles $C_1$ and $C_2$ respectively, and $M$ and $N$ be respectively the feet of perpendiculars drawn from $A$ and $B$ on the $x$-axis. Then the area of the trapezium $AMNB$ is:
Circle
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JEE Main 2025 (Online) 24th January Morning ShiftQuestion 7473
The number of $3$-digit numbers, that are divisible by $2$ and $3$, but not divisible by $4$ and $9$, is ______.
Permutation and Combination
JEE Main 2021 (Online) 1st September Evening ShiftQuestion 7474
A man starts walking from the point $P(-3,4)$, touches the $x$-axis at $R$, and then turns to reach at the point $Q(0,2)$. The man is walking at a constant speed. If the man reaches the point $Q$ in the minimum time, then $50\left((PR)^2+(RQ)^2\right)$ is equal to ______.
Points and Straight Lines
JEE Main 2019 (Online) 11th January Morning ShiftQuestion 7475
Equation of a common tangent to the parabola $y^2=4x$ and the hyperbola $xy=2$ is :
Parabola
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