1
JEE Main 2023 (Online) 24th January Morning Shift
Numerical
+4
-1
Change Language

The value of $$12\int\limits_0^3 {\left| {{x^2} - 3x + 2} \right|dx} $$ is ____________

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2
JEE Main 2023 (Online) 24th January Morning Shift
Numerical
+4
-1
Out of Syllabus
Change Language

Let a tangent to the curve $$9{x^2} + 16{y^2} = 144$$ intersect the coordinate axes at the points A and B. Then, the minimum length of the line segment AB is ________

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3
JEE Main 2023 (Online) 24th January Morning Shift
Numerical
+4
-1
Out of Syllabus
Change Language

Suppose $$\sum\limits_{r = 0}^{2023} {{r^2}{}~^{2023}{C_r} = 2023 \times \alpha \times {2^{2022}}} $$. Then the value of $$\alpha$$ is ___________

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4
JEE Main 2023 (Online) 24th January Morning Shift
Numerical
+4
-1
Change Language

The value of $${8 \over \pi }\int\limits_0^{{\pi \over 2}} {{{{{(\cos x)}^{2023}}} \over {{{(\sin x)}^{2023}} + {{(\cos x)}^{2023}}}}dx} $$ is ___________

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