Let A={(x,y)∈R×R|2x2+2y2−2x−2y=1},B={(x,y)∈R×R|4x2+4y2−16y – InterviewSolution

1.	Let A={(x,y)∈R×R\|2x2+2y2−2x−2y=1},B={(x,y)∈R×R\|4x2+4y2−16y+7=0} and C={(x,y)∈R×R\|x2+y2−4x−2y+5≤r2}.Then the minimum value of \|r\| such that A∪B⊆C is equal to:
Answer» Let $A = {(x, y) \in R \times R \| 2 x^{2} + 2 y^{2} - 2 x - 2 y = 1},$ $B = {(x, y) \in R \times R \| 4 x^{2} + 4 y^{2} - 16 y + 7 = 0}$ and $C = {(x, y) \in R \times R \| x^{2} + y^{2} - 4 x - 2 y + 5 \leq r^{2}}$ . Then the minimum value of $\| r \|$ such that $A \cup B \subseteq C$ is equal to:

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