a) Find a parametric equation for the curve of intersection of the cone x²+y² = z² and the plane x+2z = 1. b) Show that tangent plane to the cone at any point always passes through the origin and intersects the cone by a line (you can see which line it is geometrically). Partical credit for proving that tangent plains contain the origin. Partial credit for checking that the tangent plane at the point (1,0, 1) intersects the cone by a line.

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