Find the equation of the intersection of the surface z=4-y2 with the x-y plane.(a) y=2(b) y=+3, y=-3(c) y=+4, y=-4(d) y=+2, y=-2I got this question during an interview.This intriguing question originated from Intersection of Surfaces in chapter Development of Surfaces, Isometric Projections, Perspective Projections & Transformation of Projections of Civil Engineering Drawing

Find the equation of the intersection of the surface z=4-y2 with the x

1.	Find the equation of the intersection of the surface z=4-y2 with the x-y plane.(a) y=2(b) y=+3, y=-3(c) y=+4, y=-4(d) y=+2, y=-2I got this question during an interview.This intriguing question originated from Intersection of Surfaces in chapter Development of Surfaces, Isometric Projections, Perspective Projections & Transformation of Projections of Civil Engineering Drawing
Answer» Correct choice is (d) y=+2, y=-2 Explanation: SET z = 0 in the equation, you GET 0 = 4-y^2. That SIMPLIFIES to y^2 = 4, or y = ±2, i.e. two lines: y = 2 and y = -2.

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