.2 Let's consider a cone defined by x + y? – z² = 0. Then, by intersecting the cone with planes, we can obtain several plane curves defined by quadrics. It is called conic sections (or simply conic). For example, a circle is a conic because it can be obtained by intersecting the cone x2 + y? z- = 0 with a plane z = c for non-zero constant C. Question: Find equation of a plane which produces a parabola by intersecting with the cone x+ y²- z = 0.
.2 Let's consider a cone defined by x + y? – z² = 0. Then, by intersecting the cone with planes, we can obtain several plane curves defined by quadrics. It is called conic sections (or simply conic). For example, a circle is a conic because it can be obtained by intersecting the cone x2 + y? z- = 0 with a plane z = c for non-zero constant C. Question: Find equation of a plane which produces a parabola by intersecting with the cone x+ y²- z = 0.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 19RE
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