Consider the following equation in a 2-D real-space. |𝑥 1 | p + |𝑥 2 | 𝑝 = 1 for 𝑝 > 0 Which of the following statement(s) is/are true.

When p = 2, the area enclosed by the curve is π.

When p tends to ∞, the area enclosed by the curve tends to 4.

When p tends to 0, the area enclosed by the curve is 1.

When p = 1, the area enclosed by the curve is 2.

GATE Electrical Engineering (EE) 2023 Solved Paper

Question : 42 of 65

Marks: +1, -0

Consider the following equation in a 2-D real-space.
|𝑥₁|^p + |𝑥₂|^𝑝 = 1 for 𝑝 > 0
Which of the following statement(s) is/are true.

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