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Every linear equation determines a _______ in n-dimensional space for n variables.

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in Discrete Mathematics by (558k points)
Every linear equation determines a _______ in n-dimensional space for n variables.

(a) shipshape

(b) hyperplane

(c) cone

(d) pyramid

I have been asked this question by my school teacher while I was bunking the class.

I would like to ask this question from Counting in division Counting of Discrete Mathematics

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The correct option is (b) hyperplane

Easy explanation: In an m-dimensional space, every linear equation produces a hyperplane for n variables. The solution set is the intersection of these hyperplanes and is planar which may have any dimension smaller than m.

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