The xyz-surface with equation y=6x^2 is a ? elliptical cylinder hyperbolic cylin

Question

The xyz-surface with equation   y=6x^2 is a  ? elliptical cylinder hyperbolic cylinder parabolic cylinder  

Consider various traces of that surface obtained by intersecting it with a specified plane --- identify shape of each trace.

1. y=150

  2. z=150

A. hyperbola
B. pair of lines
C. empty set
D. parabola
E. None of the above

1. y=150

  2. z=150

A. hyperbola
B. pair of lines
C. empty set
D. parabola
E. None of the above

The Xyz surface with equation y 6 r2 is a parabolic cylinder v Consider various traces of that surface obtained by intersecting it with a specified plane identify shape of each trace. A. hyperbola D 1. y 150 B. pair of lines C. empty set B v 2.2 150 D. parabola E. None of the above

Explanation / Answer

1. y=150

here y= 6x^2

150=6x^2

25=x^2

x=5,-5

clearly it represents pair of line.

2. z=150

hjere value of z is fixed and y= 6x^2

it represents a parabola

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