Let Z be the set of all integers, \A=\{(x, y) \\in\Z \times\Z:(x-2)^{2}+y^{2} \\leq 4\}, \B=\{(x, y) \\in\Z \times\Z: x^{2}+y^{2} \\leq 4\} and \C=\{(x, y) \\in\Z \times\Z:(x-2)^{2}+(y-2)^{2} \\leq 4\} If the total number of relation from \A \⋂\B to \A\⋂\B is 2^{p}, then the value of p is [27 Aug 2021 Shift 2]

Circles Part 1

Section: Mathematics

Question : 5 of 100

Marks: +1, -0

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} and
C={(x,y)∈Z×Z:(x−2)2+(y−2)2≤4}
If the total number of relation from A‌⋂B to A‌⋂B is 2p, then the value of p is

[27 Aug 2021 Shift 2]

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