Question

50 POINTSSS PLSS HELPPP Which of the following equations would correspond to a conic section formed when a plane intersects a cone parallel to the base?

x2 + y2 = 32
x squared over 2 squared plus y squared over 3 squared equals 1
x2 = 8y
x squared over 2 squared minus y squared over 3 squared equals 1

Answer 1

When a plane intersects a cone parallel to the base, the conic section formed is a circle, represented by the equation x^2 + y^2 = 32, which indicates a circle with radius √32.

Step-by-step explanation:

The conic section formed when a plane intersects a cone parallel to the base is a circle. The general equation for a circle is x^2 + y^2 = r^2 where r is the radius of the circle. Given the choices in the question, the equation x^2 + y^2 = 32 represents a circle with a radius of √32.