1.) A plane intersects only one nappe of a doubled-napped cone. It is neither perpendicular to the cone's axis nor parallel to it's generating line. Which conic section is formed?
a) point
b) circle
c) ellipse
d) parabola
I chose C . am I right or wrong??
?
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Let's see:
1) Perpendicular to axis is a circle - NO
2) Parallel to axis is hyperbola - NO
3) Parallel to the cone is a parabola - NO
4) Any other is an ellipse Eureka, I think you got it right!
Oh, if it cuts the cone: a point is a degenerate ellipse and a line (pair) is a degenerate hyperbola