Consider the sets A = {(x, y) ∈ ℝ × ℝ: x² + y² = 25}, B = {(x, y)… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 4 April, Shift 1Applications of P&C

Consider the sets $A = \{(x, y) \in \mathbb{R} \times \mathbb{R} : x^2 + y^2 = 25\}$ , $B = \{(x, y) \in \mathbb{R} \times \mathbb{R} : x^2 + 9y^2 = 144\}$ , $C = \{(x, y) \in \mathbb{Z} \times \mathbb{Z} : x^2 + y^2 \leq 4\}$ , and $D = A \cap B$ . The total number of one-one functions from the set $D$ to the set $C$ is:

A
$15120$
B
$19320$
C
$17160$
D
$18290$

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