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2024 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2024
Consider the function
$f(x)=\left\{\begin{array}{cl} \frac{a\left(7 x-12-x^2\right)}{b\left|x^2-7 x+12\right|} & , x<3 \\ 2^{\frac{\sin (x-3)}{x-[x]}} & , x>3 \\ b & , x=3 \end{array}\right.$
Where $[\mathrm{x}]$ denotes...
JEE Main Mathematics Medium
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Q JEE MAIN 2024
Four distinct points (2k,3k),(1,0),(0,1) and (0,0) lie on a circle for k equal to :
JEE Main Mathematics Easy
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Q JEE MAIN 2024
If $S=\{z \in C:|z-i|=|z+i|=|z-1|\}$, then, $n(S)$ is:
JEE Main Mathematics Easy
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Q JEE MAIN 2024
Let $S=\{1,2,3, \ldots, 10\}$. Suppose M is the set of all the subsets of S , then the relation $...
JEE Main Mathematics Medium
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Q JEE MAIN 2024
If $\int_0^1 \frac{1}{\sqrt{3+x}+\sqrt{1+x}} d x=a+b \sqrt{2}+c \sqrt{3}$, where $\mathrm{a}, \mathrm{b}, \mathrm{c}$ are rational numbers, then $2 \mathrm{a}+3 \mathrm{~b}-4 \mathrm{c}$ is equal to :
JEE Main Mathematics Medium
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Q JEE MAIN 2024
If the shortest distance between the lines $\frac{x-4}{1}=\frac{y+1}{2}=\frac{z}{-3}$ and $\frac{x-\lambda}{2}=\frac{y+1}{4}=\frac{z-2}{-5}$ is $\frac{6}{\sqrt{5}}$, then the sum of all possible values of $\lambda$ is :
JEE Main Mathematics Easy
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Q JEE MAIN 2024
If the shortest distance of the parabola $y^2=4 x$ from the centre of the circle $x^2+y^2-4 x-16 y+64=0$ is d , then $\mathrm{d}^2$ is equal...
JEE Main Mathematics Medium
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Q JEE MAIN 2024
The number of common terms in the progressions 4,9,14,19,....., up to 25th term and 3,6,9,12, up to 37th term is :
JEE Main Mathematics Easy
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Q JEE MAIN 2024
If A denotes the sum of all the coefficients in the expansion of $\left(1-3 x+10 x^2\right)^n$ and B denotes the sum of all the coefficients...
JEE Main Mathematics Easy
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Q JEE MAIN 2024
If $(a, b)$ be the orthocentre of the triangle whose vertices are $(1,2),(2,3)$ and $(3,1)$, and $...
JEE Main Mathematics Medium
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