5.4.2 Degenerate Forms
Chapter 5: Chapter 5 · MATHEMATICS-VOLUME 1 · EN medium
From your actual textbook ✓
What does your textbook say about 5.4.2 Degenerate Forms?
Degenerate forms of various conics (Fig. . ) are either a point or a line or a pair of straight lines or two intersecting lines or empty set depending on the angle (nature) of intersection of the plane with the double napped cone and passing through the vertex or when the cones degenerate into a cylinder with the plane parallel to the axis of the cylinder. If the intersecting plane passes through the vertex of the double napped cone and perpendicular to the axis, then we obtain a point or a point circle. If the intersecting plane passes through a generator then we obtain a line or a pair of parallel lines, a degenerate form of a parabola for which A
📖 Class 12 Mathematics English Volume 1 2025 Edition www.tntextbooks.in · Page 206
Read from the source
Complete lesson
Degenerate forms of various conics (Fig. . ) are either a point or a line or a pair of straight lines or two intersecting lines or empty set depending on the angle (nature) of intersection of the plane with the double napped cone and passing through the vertex or when the cones degenerate into a cylinder with the plane parallel to the axis of the cylinder. If the intersecting plane passes through the vertex of the double napped cone and perpendicular to the axis, then we obtain a point or a point circle.
If the intersecting plane passes through a generator then we obtain a line or a pair of parallel lines, a degenerate form of a parabola for which A
Related topics
Want this shaped for your exam marks?
Get an AI answer grounded in your actual textbook — with the exact page reference.
Ask AI about this topic →