1
JEE Main 2025 (Online) 8th April Evening Shift
Numerical
+4
-1
Change Language
The product of the last two digits of $(1919)^{1919}$ is
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2
JEE Main 2025 (Online) 8th April Evening Shift
Numerical
+4
-1
Change Language
Let the area of the bounded region $\left\{(x, y): 0 \leq 9 x \leq y^2, y \geq 3 x-6\right\}$ be $A$. Then $6 A$ is equal to _________.
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3
JEE Main 2025 (Online) 8th April Evening Shift
Numerical
+4
-1
Change Language
Let $r$ be the radius of the circle, which touches $x$ - axis at point $(a, 0), a<0$ and the parabola $\mathrm{y}^2=9 x$ at the point $(4,6)$. Then $r$ is equal to ______.
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4
JEE Main 2025 (Online) 8th April Evening Shift
Numerical
+4
-1
Change Language
Let the area of the triangle formed by the lines $x+2=y-1=z, \frac{x-3}{5}=\frac{y}{-1}=\frac{z-1}{1}$ and $\frac{x}{-3}=\frac{y-3}{3}=\frac{z-2}{1}$ be $A$. Then $A^2$ is equal to ________.
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