MathProblemsBank

3.5.4 Surfaces of the 2-nd order

Problem: Let the given surface be σ:9(x1)2+4y236z2=36 and the points be M1(1;0;0),M2(3;1;1). 1) Define the type of the surface σ, 2) Draw the surface σ, 3) Find sections of the surface σ with coordinate planes and define their foci and asymptotes, 4) Define the location of the points M1 and M2 in relation to the surface σ 5) Find the points of intersection of the straight line passing through points M1 and M2 with the surface σ.