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2023 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2023
The foci of a hyperbola are $( \pm 2,0)$ and its eccentricity is $\frac{3}{2}$. A tangent, perpendicular to the line $2 x+3 y =6$, is...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
If $y=y(x)$ is the solution of the differential equation $\frac{d y}{d x}+\frac{4 x}{\left(x^2-1\right)} y=\frac{x+2}{\left(x^2-1\right)^{5 / 2}}, x>1$ such that $\mathrm{y}(2)=\frac{2}{9} \log _{\mathrm{e}}(2+\sqrt{3})$ and $...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let the number $(22)^{2022}+(2022)^{22}$ leave the remainder a when divided by 3 and $\beta$ when divided by 7 . Then $\left(\alpha^2+\beta^2\right)$ is equal to
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let $S=\left\{z=x+i y: \frac{2 z-3 i}{4 z+2 i}\right.$ is a real number $\}$. Then which of the following is NOT correct?
JEE Main Mathematics Easy
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Q JEE MAIN 2024
A light string passing over a smooth light fixed pulley connects two blocks of masses 1 m and 2 m . If the acceleration of...
JEE Main Physics Easy
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Q JEE MAIN 2023
Let the line $=\frac{x}{1}=\frac{6-y}{2}=\frac{z+8}{5}$ intersect the lines $\frac{x-5}{4}=\frac{y-7}{3}=\frac{z+2}{1}$ and $\frac{x+3}{6}=\frac{3-y}{3}=\frac{z-6}{1}$ at the points $A$ and $B$ respectively. Then the distance of the mid-point of the...
JEE Main Physics Medium
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Q JEE MAIN 2023
Let the eccentricity of an ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ is reciprocal to that of the hyperbola $2 x^2-2 y^2=1$. If the ellipse intersects the hyperbola at right...
JEE Main Mathematics Medium
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Q JEE-Main 2023
The value of $36\left(4 \cos ^2 9^{\circ}-1\right)\left(4 \cos ^2 27^{\circ}-1\right)\left(4 \cos ^2 81^{\circ}-1\right)\left(4 \cos ^2 243^{\circ}-1\right)$ is
JEE Main Mathematics Medium
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Q JEE MAIN 2023
If the coefficients of $x$ and $x^2$ in $(1+x)^p(1-x)^q$ are 4 and -5 respectively, then $2 p+3 q$ is equal to
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let the eccentricity of an ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ is reciprocal to that of the hyperbola $2 x^2-2 y^2=1$. If the ellipse intersects the hyperbola at right...
JEE Main Mathematics Hard
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