Answer to Question #78594 in Analytic Geometry for Atul

Question #78594

Prove that the paraboloids
x^2/a1^2 + y^2/b1^2 = 2z/c1
x^2/a2^2 + y^2/b2^2 = 2z/c2
x^2/a3^2 + y^2/c3^2 = 2z/c3 have a common teangent plane if
|a1^2 a2^2 a3^2|
|b1^2 b2^2 b3^2|
|c1^2 c2^2 c3^2|

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