Mathematics · 2025
JEE Main · 4 April 2025, Shift 1 · Q1
Consider the sets A={(x, y) ∈ R × R: x^2+y^2=25}, B={(x, y) ∈ R × R: x^2+9 y^2=144}, C={(x, y) ∈ Z × Z: x^2+y^2 ≤ 4} and D=A ∩ B. The total number of…
Consider the sets $\displaystyle A=\left\{(x, y) \in \mathbb{R} \times \mathbb{R}: x^2+y^2=25\right\}, B=\left\{(x, y) \in \mathbb{R} \times \mathbb{R}: x^2+9 y^2=144\right\}$, $\displaystyle C=\left\{(x, y) \in \mathbb{Z} \times \mathbb{Z}: x^2+y^2 \leq 4\right\}$ and $\displaystyle D=A \cap B$. The total number of one-one functions from the set $\displaystyle D$ to the set $\displaystyle C$ is:
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle 17160$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.