Questions: Which conic section is formed when a plane intersects the central axis of a double-napped cone at a 90° angle?

Which conic section is formed when a plane intersects the central axis of a double-napped cone at a 90° angle?
Transcript text: Which conic section is formed when a plane intersects the central axis of a double-napped cone at a $90^{\circ}$ angle?
failed

Solution

failed
failed

Solution Steps

Step 1: Understanding the Problem

The question asks which conic section is formed when a plane intersects the central axis of a double-napped cone at a \(90^{\circ}\) angle.

Step 2: Analyzing the Angle of Intersection

When a plane intersects the central axis of a double-napped cone at a \(90^{\circ}\) angle, the plane is perpendicular to the axis of the cone.

Step 3: Identifying the Conic Section

A plane that is perpendicular to the axis of a double-napped cone and intersects it will form a circle. This is because the intersection will be symmetric around the axis, resulting in a circular shape.

Step 4: Conclusion

The conic section formed in this scenario is a circle.

Final Answer

\(\boxed{\text{circle}}\)

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
If each quadrilateral below is a rectangle
failedAnswered
H(x)+C N(x)-H C(x)
failedAnswered
II. 93-28= ? Tens Ones -
failedAnswered
FAA regulations define an airplane to be "on-time" if it takes off within 15 minutes of scheduled departure time. Happy Airlines advertises that at least 90% of its flights are on time. In a study conducted to test Happy Airlines' advertising claim, 50 of 56 randomly selected flights took off "on time". Assuming that the distribution is normal, what can be concluded at the 0.05 level of significance? H0: p >= 0.90 Ha: p Test statistic: = (t or z, then a number) Round your answer to 2 decimal places. p -value = Round your answer to four decimal places. p -value Interpretation: If the null hypothesis is , then the probability that the sample proportion is is . Round numbers to 4 decimals.
failedAnswered
2x-3y=3 -2x+y=-4