Let us consider the function of two variables .
What is the geometric nature of the level curves of ?

Question

Let us consider the function of two variables   .    What is the geometric nature of the level curves of    ?

Answer

They are lines parallel to the x-axis.

Answer

They are circles centred at the origin.

Answer

They are parabolas.

Answer

They are hyperbolas.

Answer

They are lines parallel to the y-axis.

Answer

They are circles centred at   .

Answer

These are polynomial functions of degree 3.

Answer

These are polynomial functions of degree 6.

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