A variable plane pes through a fixed point (a,b,c) and meets the uses at A,B and C. Show that the locus of the point of intersection of the planes through A,B and C parallel to the coordinate planes is (ax^-1)+(by^-1)+(cz^-1)=1 where a,b,c are alpha,beta and gamma A variable plane pes through a fixed point (a, b, c)and meets the uses at A, B and C. Show that the locus of the point of intersection of theplanes through A, B and C parallel to the coordinate planes is(ax^ − 1) + (by^ − 1) + (cz^ − 1) = 1where a, b, c are alpha, beta and gamma

Answered: Image /qna-images/answer/df6193e7-6aea-4a5b-94a0-e7a654cf0561.jpg

e pes through a fixed point (a,b,c) and meets the uses at A,B and C. Show that the locus of the point of intersection of the planes through A,B and C parallel to the coordinate planes is (ax^-1)+(by^-1)+(cz^-1)=1 where a,b,c are alpha,beta and gamma

e pes through a fixed point (a,b,c) and meets the uses at A,B and C. Show that the locus of the point of intersection of the planes through A,B and C parallel to the coordinate planes is (ax^-1)+(by^-1)+(cz^-1)=1 where a,b,c are alpha,beta and gamma

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 22E

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Question

A variable plane pes through a fixed point (a,b,c) and meets the uses at A,B and C. Show that the locus of the point of intersection of the planes through A,B and C parallel to the coordinate planes is

(ax^-1)+(by^-1)+(cz^-1)=1

where a,b,c are alpha,beta and gamma