Let A_1, A_2, A_3 be regions in the xy-plane defined by A_1 = \{(x, y) : x^2 + 2y^2 \leq1\}, A_2 = \{(x, y) : |x|^3 + 2 \sqrt2 |y|^3 \leq1\}, A_3 = \{(x, y) : \max (|x|, \sqrt2 |y|)\} \leq1. Then

Correct Answer is : A3⊃A2⊃A1

KVPY SA Exam 05-Nov-2017 Question Paper

Question : 63 of 80

Marks: +1, -0

Let

A_1, A_2, A_3

be regions in the xy-plane defined by

A_1 = \{(x, y) : x^2 + 2y^2 ≤1\}

A_2 = \{(x, y) : |x|^3 + 2 √2 |y|^3 ≤1\},

A_3 = \{(x, y) : \max (|x|, √2 |y|)\} ≤1

. Then

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