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12 Cards in this Set

  • Front
  • Back

Conic

Set of points whose distances from a fixed point are in constant ratio

Parabola

All coplanar points are equidistant from a fixed line

Circle

The distance from a fixed point is constant

Ellipse

The sum of its distances from two fixed point is constant

Hyperbola

The difference of its distances from two fixed point is constant

Center

Fixed point of circle

Radius

Constant distance from the center

Directrix

Fixed line of parabola

Focus

Fixed point of parabola

(x-h)² + (y-k)² = r²

Formula of circle

x²=4py

Focus: (0,p)


Directrix: y=-p


Direction: Vertical


L.R.


Equation: y=±p


Lengths: 4p


Endpoints: (±2p,p)

y²=4px

Focus: (p,0)


Directrix: x=-p


Direction: Horizontal


L.R.


Equation: x=±p


Lengths: 4p


Endpoints: (p,±2p)