Let Z be the set of all integers, A = (x,y) Z × Z:(x - 2)² + y² ≤ 4 B = (x,y) Z × Z:x² + y² ≤ 4 C = (x,y) Z × Z:(x - 2)² + (y - 2)² ≤ 4 If the total number of relation from A B to A C is 2^(p), then the value of p is:

Coordinate Geometry: JEE Main 2021 Mathematics question

JEE Main 2021 · 27 Aug, Evening shift · Q3025

JEE Main 202127 Aug, Evening shiftMathematicsMediumCoordinate Geometry478× since 2002

Let Z be the set of all integers,

A = \{ (x,y) \in Z \times Z:{(x - 2)^2} + {y^2} \le 4\}

B = \{ (x,y) \in Z \times Z:{x^2} + {y^2} \le 4\}

C = \{ (x,y) \in Z \times Z:{(x - 2)^2} + {(y - 2)^2} \le 4\}

If the total number of relation from A

\cap

B to A

\cap

C is 2^p, then the value of p is :