(a) If q(x, y) is a positive- or negative-definite quadratic form and r(x, y) is an indefinite quadratic form, how would you distinguish the level curves of q from those of r?
(b) If q(x, y, z) is a positive- or negative-definite quadratic form and r(x, y, z) is an indefinite quadratic form, how would you distinguish the level surfaces of q from those of r?
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