The point , (where denotes the greatest integer function) lying inside the region…

MATHEMATICS · Single correct · AoPS · Mathematics · Special Functions · Special Functions

Problem

The point ([P+1],[P])([P+1], [P]) , (where [.][. ] denotes the greatest integer function) lying inside the region bounded by the circle x2+y2−2x−15=0x^2 + y^2 - 2x - 15 = 0 and x2+y2−2x−7=0x^2 + y^2 - 2x - 7 = 0 , then (1) P∈[−1,0)∪[0,1)∪[1,2)P \in [-1, 0) \cup [0, 1) \cup [1, 2) (2) P∈[−1,2)−{0,1}P \in [-1, 2) - \{0, 1\} (3) P∈(−1,2)P \in (-1, 2) (4) None of these

Related theory

Browse the problem library