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2024 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2024
Suppose $A B$ is a focal chord of the parabola $y^2=12 x$ of length $l$ and slope $m<\sqrt{3}$. If the distance of the chord $...
JEE Main Mathematics Medium
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Q JEE MAIN
Let a circle passing through (2,0) have its centre at the point (h,k). Let $\left(x_c, y_c\right)$ be the point of intersection of the lines 3x+5y=1...
JEE Main Mathematics Medium
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Q JEE MAIN 2024
The number of distinct real roots of the equation $|x||x+2|-5|x+1|-1=0$ is
JEE Main Mathematics Medium
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Q JEE MAIN 2024
If $\int_0^{\frac{\pi}{4}} \frac{\sin ^2 x}{1+\sin x \cos x} d x=\frac{1}{a} \log _e\left(\frac{a}{3}\right)+\frac{\pi}{b \sqrt{3}}$, where $a, \mathrm{~b} \in \mathrm{~N}$, then $\mathrm{a}+\mathrm{b}$ is equal to
JEE Main Mathematics Medium
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Q JEE-Main 2024
Let a conic C pass through the point (4,-2) and P(x,y),x≥3, be any point on C. Let the slope of the line touching the conic...
JEE Main Mathematics Easy
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Q JEE MAIN 2024
Let $\vec{a}=9 \hat{\imath}-13 \hat{\jmath}+25 k, b=3 \hat{\imath}+7 \hat{\jmath}-13 k$ and $\overrightarrow{\mathrm{c}}=17 \hat{\imath}-2 \hat{\jmath}+\mathrm{k}$ be three given vectros. If $\overrightarrow{\mathrm{r}}$ is a vector such that $...
JEE Main Mathematics Easy
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Q JEE MAINS 2024
The mass defect in a particular reaction is 0.4 g . The amount of energy liberated is $\mathrm{n} \times 10^7 \mathrm{kWh}$, where $\mathrm{n}=$ $\_\_\_\_$ ....
JEE Main Physics Medium
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Q JEE MAIN 2024
Let $\vec{a}=\hat{i}-3 \hat{j}+7 k \hat{k}=2 \hat{i}-\hat{j}+k$ and $\vec{c}$ be a vector such that $(\vec{a}+2 \vec{b}) \times \vec{c}=3(\vec{c} \times \vec{a})$. If $\vec{a} \cdot \vec{c}=130$, then $...
JEE Main Mathematics Easy
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Q JEE MAIN
Let $f(x)=a x^3+b x^2+e x+41$ be such that $f(1)=40, f^{\prime}(1)=2$ and $f^{\prime \prime}(1)=4$. Then $a^2+b^2+c^2$ is equal to :
JEE Main Mathematics Easy
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Q JEE MAIN 2024
Let ABC be a triangle of area $15 \sqrt{2}$ and the vectors $\overrightarrow{\mathrm{AB}}=\hat{\imath}+2 \hat{\jmath}-7 \hat{k}, \overrightarrow{\mathrm{BC}}=a \hat{\imath}+b \hat{\jmath}+c \hat{k}$ and $...
JEE Main Mathematics Easy
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