Let ${A_1} = \left\{ {(x,y):|x| \le {y^2},|x| + 2y \le 8} \right\}$ and ${A_2} = \left\{ {(x,y):|x| + |y| \le k} \right\}$. If 27 (Area A1) = 5 (Area A2), then k is equal to :

Question

Let

${A_1} = \left\{ {(x,y):|x| \le {y^2},|x| + 2y \le 8} \right\}$ and

${A_2} = \left\{ {(x,y):|x| + |y| \le k} \right\}$. If 27 (Area A₁) = 5 (Area A₂), then k is equal to :

Correct Answer

Please login to view the detailed solution steps...