Conic Sections Formula

Circle conic section when working with circle conic sections we can derive the equation of a circle by using coordinates and the distance formula.

Conic sections formula. Let us briefly. The constants listed above are the culprits of these changes. If the conic is non degenerate then.

The general equation for any conic section is a x 2 b x y c y 2 d x e y f 0 where a b c d e and f are constants. If b2 4ac 0 the equation represents an ellipse. If b2 4ac 0 the equation represents a.

If a c and b 0 the equation represents a circle which is a. Conic sections formulas parabola vertical axis horizontal axis equation x h 2 4p y k y k 2 4p x h axis of symmetry x h y k vertex h k h k focus h k p h p k directrix y k p x h p direction of opening p 0 then up. Big small fat skinny vertical horizontal and more.

If a c and b 0 the equation represents a circle which is a special case of an ellipse. Conic sections class 11 formulas notes is prepared strictly according to the ncert syllabus which not only reduces the pressure on the students but also offer them a simple way to study or revise the chapter. These formulae are cumulated from past 15 years of examination material preferred by cbse so that no important formulae should be left behind for the students to know and practice.

P 0 then left ellipse vertical major axis horizontal major axis equation 2222 22 x h y k 1 ba. The three types are parabolas ellipses and hyperbolas. A conic section or simply conic is a curve obtained as the intersection of the surface of a cone with a plane.

P 0 then down p 0 then rignt. If neither x nor y is squared then the equation is that of a line. Conic section formulas focus eccentricity and directrix of conic.