If a right circular cone is intersected by a plane that goes through both nappes of the cone but not through the vertex, what sh
ape is produced?
2 answers:
Answer:
If a right circular cone is intersected by a plane that goes through both napes of the cone but not through the vertex then the shape that is formed by this intersection is:
Hyperbola.
Step-by-step explanation:
We know when a plane cuts just one nape of the cone then either a ellipse or a parabola or circle is formed depending on the angle that plane forms.
And when it passes through both the nape then a hyperbola is obtained.
Hence, the answer is Hyperbola.
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To find the slope,we can use the point-slope form:
Where m is the slope.
In this case,the equation would be:
-9-2 = m(1-(-3))
-11 = m(1+3)
-11 = 4m
m = -11/4
Therefore the slope is -11/4.
Hope it helps!
Where m is the slope.
In this case,the equation would be:
-9-2 = m(1-(-3))
-11 = m(1+3)
-11 = 4m
m = -11/4
Therefore the slope is -11/4.
Hope it helps!