Question

define parabola,hyprobola and ellips

Answer 1

Parabola. A parabola is the locus of a point which moves in a plane in such a way that its distance from a fixed point of the plane and from a fixed line of the plane are equal. a parabola is the locus of point P moving in such a way that always

dF = dD

where dF is its distance from the focus and dD is its distance rom the directrix.


Ellipse. An ellipse is a figure formed by a point which moves in the plane in such a way that the sum of its distances from two fixed points is constant. The ellipse is the locus of point P moving in such a way that always

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where q is a constant. The constant q is equal to the distance V'V (the length of the major axis).


Hyperbola. A hyperbola is the locus of a point which moves in the plane in such a way that the absolute value of the difference of its distances from two fixed points in the plane is constant., the hyperbola is the locus of point P moving in such a way that always

| FP - F'P | = q


where q is a constant., q is equal to the distance V'V.