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2019 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN_2019
If the coefficients of $x^2$ and $x^3$ are both zero, in the expansion of the expression $\left(1+a x+b x^2\right) (1-3 x)^{15}$ in powers of $x$,...
JEE Main Mathematics Easy
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Q JEE MAIN_2019_
Let $f(x)=x^2, x \in R$. For any $A \subseteq R$, define $g(A)=\{x \in R: f(x) \in A\}$. If $S=[0,4]$, then which one of the following...
JEE Main Mathematics Medium
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Q JEE MAIN_2019_
If $Q(0,-1,-3)$ is the image of the point $P$ in the plane $3 x-y+4 z=2$ and $R$ is the point $(3,-1,-2)$, then the area (in...
JEE Main Mathematics Medium
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Q JEE MAIN_2019_
If $a_1, a_2, a_3, \ldots \ldots .$, an are in A.P. and $a_1+a_4+a_7+ a_{16}+a_{16}=114$, then $a_1+a_6+a_{11}+a_{16}$ is equal to:
JEE Main Mathematics Medium
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Q JEE MAIN_2019_
The region represented by $|x-y| \leq 2$ and $|x+y| \leq 2$ is bounded by a:
JEE Main Mathematics Easy
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Q JEE MAIN_2019_
If the circles $x^2+y^2+5 K x+2 y+K=0$ and $2\left(x^2+\right. \left.y^2\right)+2 K x+3 y-1=0,(K \in R)$, intersect at the points $P$ and $Q$, then the line...
JEE Main Mathematics Medium
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Q Statistics_ JEE MAIN_2019_
If for some $x \in R$, the frequency distribution of the marks obtained by 20 students in a test is:
JEE Main Mathematics Medium
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Q JEE MAIN_2019_
Assume that each born child is equally likely to be a boy or a girl. If two families have two children each, then the conditional...
JEE Main Mathematics Easy
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Q JEE MAIN_2019_
If the system of linear equations $$ \begin{aligned} & x+y+z=5 \\ & x+2 y+2 z=6 \\ & x+3 y+\lambda z=\mu,(\lambda, \mu \in R), \text {...
JEE Main Mathematics Medium
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Q JEE MAIN_2019_
Let $A(3,0-1), B(2,10,6)$ and $C(1,2,1)$ be the vertices of a triangle and $M$ be the mid point of $A C$. If G divides BM in...
JEE Main Mathematics Easy
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