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2019 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN_2019_
If the line $x-2 y=12$ is tangent to the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ at the point $\left(3, \frac{-9}{2}\right)$, then the length of the latus rectum of the...
JEE Main Mathematics Easy
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Q JEE MAIN_2019_
If a directrix of a hyperbola centred at the origin and passing through the point $(4,-2 \sqrt{3})$ is $5 x=4 \sqrt{5}$ and its eccentricity is...
JEE Main Mathematics Medium
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Q JEE MAIN_2019
If $\lim _{x \rightarrow 1} \frac{x^4-1}{x-1}=\lim _{x \rightarrow *} \frac{x^3-k^3}{x^2-k^2}$, then $k$ is
JEE Main Mathematics Medium
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Q JEE MAIN_2019
Which one of the following Boolean expressions is a tautology ?
JEE Main Mathematics Easy
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Q JEE MAIN_2019_
The line x = y touches a circle at the point (1, 1). If the circle also passes through the point (1, –3), then its...
JEE Main Mathematics Medium
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Q JEE MAIN_2019_
$\lim _{n \rightarrow \infty}\left(\frac{(n+1)^{1 / 3}}{n^{4 / 3}}+\frac{(n+2)^{1 / 3}}{n^{1 / 3}}+\ldots . .+\frac{(2 n)^{1 / 3}}{n^{4 / 3}}\right)$ is equal to:
JEE Main Mathematics Hard
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Q JEE MAIN 2019
Four persons can hit a target correctly with probabilities $\frac{1}{2}, \frac{1}{3}, \frac{1}{4}$ and $\frac{1}{8}$ respectively. If all hit at the target independently, then the probability...
JEE Main Mathematics Medium
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Q JEE MAIN 2019
If the function $f: R-\{1,-1\} \rightarrow A$ defined by $f(x)=\frac{x^2}{1-x^2}$, is surjective, then $A$ is equal to :
JEE Main Mathematics Medium
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Q JEE MAIN 2019
Let the sum of the first $n$ terms of a nonconstant A.P., $a_1, a_2, a_3, \ldots$. be $50 n+\frac{n(n-7)}{2} A$, where $A$ is a constant....
JEE Main Mathematics Medium
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Q JEE MAIN 2019
The solution of the differential equation $x \frac{d y}{d x}+2 y=x^2(x \neq 0)$ with $y(1)=1$, is :
JEE Main Mathematics Easy
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