CHAPTER 11 - CONIC SECTION
Sections of a Cone
Sections of a Cone
Circle : - A circle is the set of all points in a plane that are equidistant from a fixed point in the plane.
Circle : - A circle is the set of all points in a plane that are equidistant from a fixed point in the plane.
A circle is the set of all points in a plane that are equidistant from a fixed point
A circle is the set of all points in a plane that are equidistant from a fixed point
in the plane.
in the plane.
The equation of a circle with centre (h, k) and the radius r is
The equation of a circle with centre (h, k) and the radius r is
(x – h)2 + (y – k)2 = r2.
(x – h)2 + (y – k)2 = r2.
Parabola : - A parabola is the set of all points in a plane that are equidistant from a fixed line and a fixed point (not on the line) in the plane.
Parabola : - A parabola is the set of all points in a plane that are equidistant from a fixed line and a fixed point (not on the line) in the plane.
The fixed line is called the directrix of the parabola and the fixed point F is called the focus
The fixed line is called the directrix of the parabola and the fixed point F is called the focus
A parabola is the set of all points in a plane that are equidistant from a fixed line and a fixed point in the plane.
A parabola is the set of all points in a plane that are equidistant from a fixed line and a fixed point in the plane.
The equation of the parabola with focus at (a, 0) a > 0 and directrix x = – a is y2 = 4ax.
The equation of the parabola with focus at (a, 0) a > 0 and directrix x = – a is y2 = 4ax.
Latus rectum of a parabola is a line segment perpendicular to the axis of the parabola, through the focus and whose end points lie on the hyperbola.
Latus rectum of a parabola is a line segment perpendicular to the axis of the parabola, through the focus and whose end points lie on the hyperbola.
Length of the latus rectum of the parabola y2 = 4ax is 4a.
Length of the latus rectum of the parabola y2 = 4ax is 4a.
Ellipse:- An ellipse is the set of all points in a plane, the sum of whose distances from two fixed points in the plane is a constant.
Ellipse:- An ellipse is the set of all points in a plane, the sum of whose distances from two fixed points in the plane is a constant.
The two fixed points are called the foci (plural of ‘focus’) of the ellipse
The two fixed points are called the foci (plural of ‘focus’) of the ellipse
Hyperbola:- A hyperbola is the set of all points in a plane, the difference of whose
Hyperbola:- A hyperbola is the set of all points in a plane, the difference of whose
distances from two fixed points in the plane is a constant.
distances from two fixed points in the plane is a constant.
