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CONIC SECTIONS.pptx
1.
2. •Pre-assessment
1. All are figures that can be form when a cone is cut by a
plane EXCEPT:
a. Circle
b. Ellipse
c. Hyperbola
d. Triangle
3. 2. A hyperbola looks like a mirrored ____________.
a. Circle
b. Conics
c. Ellipse
d. Parabola
4. 3. What conic section is being represented by the track and
field oval?
a. Circle
b. Ellipse
c. Hyperbola
d. Parabola
5. 4. An ellipse that has only one focus which is the center.
a. Circle
b. Hyperbola
c. Round
d. None of the above
6. 5. All are degenerated cases of conic section EXCEPT
________.
a. Line
b. Shape
c. Plane
d. Point
7. LEARNING COMPETENCIES
1. The learner illustrates the
different types of conic section:
parabola, ellipse, circle,
hyperbola, and degenerate cases.
8. CONIC SECTIONS
• Or conics, are curves obtained by the intersection of a plane and a
cone.
• Conic sections can be identified as circles, parabolas, ellipses,
hyperbolas and degenerate cases.
9.
10.
11. ELLIPSE
• Formed when the plane intersects to only one cone to form a
bounded curve.
When the angle formed
by the plane and the axis
is greater than the
vertex angle, ellipse is
formed.
12. CIRCLE
• Formed when the plane is horizontal as it intersects the cone.
When the angle formed
by the plane is
perpendicular to the
axis, a circle is formed.
Thus, a circle is a special
type of ellipse.
13. PARABOLA
• Formed when the plane intersects to only one cone to form an
unbounded curve.
When the angle made
by the plane to the
vertical axis is exactly
equal to the vertex
angle, we get an open
curve called a
PARABOLA.
14. HYPERBOLA
• Formed when the plane (not necessarily vertical) intersects to both
cones to form two unbounded curves.
When the angle formed
by the plane and the axis
is lesser than the vertex
angle, hyperbola is
formed.
15. DEGENERATE CONICS
• There are three
types of degenerate
conics namely, a
point, a line and two
intersecting lines.
16. Degenerate case of Ellipse: A Point
When the plane intersect
the double right circular
cone at the vertex, the
ellipse becomes a point.
17. Degenerate case of Parabola: A line
When the plane
intersect the double
right circular cone at the
vertex, the parabola
becomes a line.
18. Degenerate case of Hyperbola: Two
intersecting lines
When the plane
intersect the double
right circular cone at
the vertex, the
hyperbola becomes
two intersecting lines.
19. •Post-assessment
1. All are figures that can be form when a cone is cut by a
plane EXCEPT:
a. Circle
b. Ellipse
c. Hyperbola
d. Triangle
20. 2. A hyperbola looks like a mirrored ____________.
a. Circle
b. Conics
c. Ellipse
d. Parabola
21. 3. What conic section is being represented by the track and
field oval?
a. Circle
b. Ellipse
c. Hyperbola
d. Parabola
22. 4. An ellipse that has only one focus which is the center.
a. Circle
b. Hyperbola
c. Round
d. None of the above
23. 5. All are degenerated cases of conic section EXCEPT
________.
a. Line
b. Shape
c. Plane
d. Point
