Conic Sections Formulas Math

As we change the values of some of the constants the shape of the corresponding conic will also change.

Conic sections formulas math. Hyperbola with the horizontal transverse axis. X a 2 h 2 y b 2 k 2 1. Center is a b distance between the vertices is 2h. For any of the below with a center j k instead of 0 0 replace each x term with x j and each y term with y k.

Find the coordinates of the focus axis the equation of the directrix and latus rectum of the parabola y2 16x. Class 11 math chapter 11 conic sections formulas notes pdf download. That ratio above is called the eccentricity so we can say that any conic section is. Therefore the equation of.

C2 h 2 k 2. 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. Distance between the centre and either focus is c with. 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.

Here h k 0. Conic section formulas examples. All points whose distance to the focus is equal. The general equation for any conic section is ax2 bxy cy2 dx ey f 0 where a b c d e and f are constants.

Find an equation of the circle with centre at 0 0 and radius r. X h y k 1 ab. 0 eccentricity 1 we get an ellipse eccentricity 1 a parabola and. Minor axis equation 2b length of minor axis.

C2 h 2 k 2 h k 0. The value of latex e latex can be used to determine the type of conic section. Math formulas and cheat sheets generator for conic sections. Equation that relates a b and c.

Eccentricity 1 a hyperbola. Center h k h k vertices h k a h a k foci h k c h c k major axis equation 2a length of major axis. Eccentricity of an ellipse e c a. Length of the minor axis is 2k.

To the eccentricity times the distance to the directrix. X 2 a 2 y 2 b 2 1.