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Sets and Relations question

2025 · 4 Apr · Shift 1 · Q31

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PYQ Library
JEE Main
Mathematics
Sets and Relations
2025 · 4 Apr · Shift 1 · Q31

Sets and Relations question

2025 · 4 Apr · Shift 1 · Q31

JEE MainMathematicsSets and RelationsMCQ+4 / −1

Consider the sets

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\}

,

C=\left\{(x, y) \in \mathbb{Z} \times \mathbb{Z}: x^2+y^2 \leq 4\right\}

and

D=A \cap B

. The total number of one-one functions from the set

D

to the set

C

is:

A
15120
B
18290
C
17160
D
19320

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