# conics - k p h p k y-= directrix p h x-= A hyperbola is the...

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Conic Sections A circle is the set of all points in a plane a fixed distance r (the radius ) from a fixed point C (the center ). ( 29 ( 29 2 2 2 r k y h x = - + - where ) , ( k h is the center and r is the radius. An ellipse is the set of all points in a plane, the sum of whose distances from two fixed points (the foci ) in the plane is a positive constant. 1 ) ( ) ( 2 2 2 2 = - + - b k y a h x 2 2 2 b a c - = 1 ) ( ) ( 2 2 2 2 = - + - a k y b h x ) , ( k h center ) , ( k h a 2 major axis length a 2 b 2 minor axis length b 2 ) , ( k a h ± vertices ) , ( a k h ± ) , ( k c h ± foci ) , ( c k h ±

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A parabola is the set of all points in a plane equidistant from a fixed point F (the focus ) and a fixed line l (the directrix ) that lie in the plane. ( 29 k h x p y + - = 2 4 1 ( 29 h k y p x + - = 2 4 1 ) , ( k h vertex ) , ( k h ) , ( p k h + focus
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Unformatted text preview: ) , ( k p h + p k y-= directrix p h x-= A hyperbola is the set of all points in a plane, the difference of whose distances from two fixed points (the foci ) in the plane is a positive constant. 1 ) ( ) ( 2 2 2 2 =---b k y a h x 2 2 2 b a c + = 1 ) ( ) ( 2 2 2 2 =---b h x a k y ) , ( k h center ) , ( k h a 2 transverse axis length a 2 b 2 conjugate axis length b 2 ) , ( k a h ± vertices ) , ( a k h ± ) , ( k c h ± foci ) , ( c k h ± k h x a b y +-± = ) ( asymptotes k h x b a y +-± = ) (...
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conics - k p h p k y-= directrix p h x-= A hyperbola is the...

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