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+9 y^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: [4 Apr 2025 Shift 1]

JEE Main 4 Apr 2025 Shift 1 Paper

Section: Mathematics

Question : 19 of 75

Marks: +1, -0

Consider the sets A={(x,y)∈ℝ×ℝ:x2+y2=25}, B={(x,y)∈ℝ×ℝ:x2+9y2=144},C={(x,y)∈ℤ×ℤ:x2+y2≤4} and D=A∩B. The total number of one-one functions from the set D to the set C is:

[4 Apr 2025 Shift 1]

18290
15120
17160
19320

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