Let A |ELLIPSE| JEEMAIN2025

JEE MAIN_2025

070425_S2

Question

Let $A=\{(\alpha, \beta) \in \mathbf{R} \times \mathbf{R}:|\alpha-1| \leqslant 4$ and $|\beta-5| \leqslant 6\}$ and $B=\left\{(\alpha, \beta) \in \mathbf{R} \times \mathbf{R}: 16(\alpha-2)^2+9(\beta-6)^2 \leqslant 144\right\}$. Then

Select the correct option:

$\mathrm{A} \cup \mathrm{B}=\{(x, y):-4 \leqslant x \leqslant 4,-1 \leqslant y \leqslant 11\}$

$\mathrm{B} \subset \mathrm{A}$

neither $\mathrm{A} \subset \mathrm{B}$ nor $\mathrm{B} \subset \mathrm{A}$

$A \subset B$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Physics

Easy

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