Question

A plane intersects only one nappe of a double-napped cone. It is neither perpendicular to the cone's axis nor parallel to its generating line. Which conic section is formed?
(Points : 4)
point

circle

ellipse

parabola

Answer 1

@dan815 @nincompoop @jim_thompson5910 @TheSmartOne @e.mccormick @confluxepic @mathmate @freckles @shifuyanli

Answer 2

check out this image

http://mathworld.wolfram.com/images/eps-gif/ConicSection_1000.gif

Answer 3

I think its a parabola?

Answer 4

you SHOULD know that if it cuts the cone that perpendicular to axis is a circle. parallel to axis is parabola any other is ellipse if it cuts the cone. a point is a degenerate ellipse and a line (pair) is a degenerate hyperbola.

Answer 5

this image

http://www.drcruzan.com/Images/ConicSections/Conic_Parabola.png

says that if you cut parallel to the slant, then you get a parabola. But your instructions specifically say "nor parallel to its generating line"

Answer 6

So im thinking an ellipse than

Answer 7

ellipse is correct

Answer 8

Awesome could you help me with another?

Answer 9

The center of a circle is at (-10, 6) and it has a radius of 4. What is the equation of the circle?
(Points : 4)
(x -10)^2 + (y + 6)^2 = 2

(x -10)^2 + (y + 6)^2 = 16

(x + 10)^2 + (y - 6)^2 = 2

(x + 10)^2 + (y - 6)^2 = 16

Answer 10

General equation: (x-h)^2 + (y-k)^2 = r^2

center: (h,k)

radius: r

Answer 11

I think its either C or D

Answer 12

the radius is r = ??
square that to get r^2

Answer 13

its 4