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|

Expert's answer

Download Answer

Learn more about our help with Assignments: Analytic Geometry

Comments

No comments. Be the first!

Leave a comment

Related Questions

1. Trace the surface x^2/4 + y^2/9 - z^2/4=1 Also describe its sections by the planes x = ±2 , alg
2. Check whether or not the conicoid represented by 5x^2+4y^2-4yz+2xz+2x-4y-8z+2=0 is central or not.
3. Q: x = y = z −1 does not intersect the cone x^2+y^2+z^2+2(xy+yz+zx)=0 Is the statement true? Give
4. Q: x + y + z = 0 touches the cone x^2+y^2+z^2+2(xy+yz+zx)=0 Is the statement true? Give reason for
5. 2x + 3y = 7z represents a line in three-dimensional space. Is the statement true? Give reason for y
6. 1/√2, 1/√3, 1/√5 form the direction cosines of a line. Is the statement true? Give reason for
7. Under a rotation of axes, a parabola can become a hyperbola. Is the statement true? Give reason for

Who Can Help Me with My Assignment

There are three certainties in this world: Death, Taxes and Homework Assignments. No matter where you study, and no matter…
How to Finish Assignments When You Can’t

Crunch time is coming, deadlines need to be met, essays need to be submitted, and tests should be studied for.…
How to Effectively Study for a Math Test

Numbers and figures are an essential part of our world, necessary for almost everything we do every day. As important…