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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Answer:
<u>It</u><u> </u><u>is</u><u> </u><u>3</u><u>y</u><u> </u><u>=</u><u> </u><u>4</u><u>x</u><u> </u><u>+</u><u> </u><u>1</u><u>0</u>
Step-by-step explanation:
Let's first get the slope of the curve.
[ slope is the derivative of the equation ]
introduce dy/dx :
make dy/dx the subject:
At point (-1, 2):
but a tangent has the same slope as the curve:
m is the slope
c is the y-intercept
At (-1, 2):
equation: