Conics Formulas Math

Math explained in easy language plus puzzles games quizzes worksheets and a forum.

Conics formulas math. A major radius 1 2 length major axis b minor radius 1 2 length minor axis c distance center to focus. Ellipse with the vertical major axis. Did you know that by taking different slices through a cone you can create a circle an ellipse a parabola or a hyperbola. The coefficient of the unsquared part is 20 and this is also the value of 4p so p 5.

Therefore the equation of. The standard formula of a ellipse. In polar coordinates a conic section with one focus at the origin and if any the other at a negative value for an ellipse or a positive value for a hyperbola on the x axis is given by the equation. A 3x2 3y2 6x 9y 14 0.

Length of the minor axis is 2k. B 1 2 length minor axis. Find the coordinates of the focus axis the equation of the directrix and latus rectum of the parabola y2 16x. B 6x2 12x y 15 0.

A section or slice through a cone. Center is a b length of the major axis is 2h. P distance from vertex to focus or directrix a 1 2 length major axis. The conics form of the equation has subtraction inside the parentheses so the x 3 2 is really x 3 2 and the vertex is at 3 1.

C2 h 2 k 2 h k 0. C2 h 2 k 2 h k 0. The ellipse formulas the set of all points in the plane the sum of whose distances from two xed points called the foci is a constant. Length of conjugate axis.

Here h k 0. X a 2 k 2 y b 2 h 2 1. R circle radius. The standard form general equation for any conic section is.

Classify the following equations according to the type of conic each represents. Length of transverse axis. A x 2 bxy c y 2 dx ey f 0 text where a b c d e f text are constants it actually turns out that if. Math formulas and cheat sheets generator for conic sections.

D x2 y2 3x 2y 43 0. For k 12 kids teachers and parents. Distance between the centre and either focus is c with. Distance between the centre and either focus is c with.

C distance center to focus. A both variables are squared and both squared terms are multiplied by the same number so this is a circle. Hide ads about ads. Conic section formulas examples.