Let a,b,c,d be real numbers such that {a2+b2+2a−4b+4=0c2+d2−4c+4d+ – InterviewSolution

1.	Let a,b,c,d be real numbers such that {a2+b2+2a−4b+4=0c2+d2−4c+4d+4=0. Let m and M be the minimum and the maximum values of (a−c)2+(b−d)2, respectively. The value of m×M is (correct answer + 3, wrong answer 0)
Answer» Let $a, b, c, d$ be real numbers such that ${\begin{matrix} a^{2} + b^{2} + 2 a - 4 b + 4 = 0 c^{2} + d^{2} - 4 c + 4 d + 4 = 0 \end{matrix} .$ Let $m$ and $M$ be the minimum and the maximum values of $(a - c)^{2} + (b - d)^{2},$ respectively. The value of $m \times M$ is (correct answer + 3, wrong answer 0)

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