Quadric Surfaces How are quadric surfaces and conic sections related?

EunoR 2021-02-08 Answered
Quadric Surfaces How are quadric surfaces and conic sections related?
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StrycharzT
Answered 2021-02-09 Author has 102 answers

Given: Quadric surfaces and conic sections. Each conic section has two axes and the quadratic equation in two variables of conic section is generally represented as, ax12+2bx1x2+cx22+dx1ex2+f=0 Here, x1 and x2 can be considered as two coordinate axes. Now, if the same quadratic equation is written in three variables, it will be as follows: ax12+bx22+cx32+2dx1x2+2ex1x3+2fx2x3+gx1hx2ix3+j=0 The graph of this equation will be a quadric surface where x1, x and xy are three coordinate axes. Hence, quadric surfacesare the three-dimensional analogs of conic sections.

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