# Mathematics

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- A set of all points which are at equal distance from fixed points on the plane is known as a circle
- The equation of a circle is (x-h)2+(y-k)2=r2; where center is (h,k) and radius is r
- the set of all points which are at equal distance from a fixed line and a fixed point in the plane is known as a parabola
- The equation of the parabola is y2=4ax; where focus is (a,0), a>0 and directrix is x=-a
- A line segment which is perpendicular to the axis of the parabola, through the foucs and whose end points lie on the hyperbola is defined as a Latus Rectum
- Length of the latus rectum of the parabola is y2=4ax is 4a
- The set of all points whose sum of distances from two fixed points in the plane is a constant, is defined as an Ellipse.
- The equation of an ellipse is x2/a2 +y2/b2 =1; where foci is on the x-axis
- A line segment perpendicular to the major axis through any of the foci and whose end points lie on the ellipse is defined as a Latus rectum
- Length of the latus of the ellipse x2/a2 + y2/b2 =1 is 2b2/a
- The eccentricity of an ellipse is the ratio between the distance from the center of the ellipse to one of the foci and to one of the vertices of the ellipse
- The set of all points whose difference in distances from two fixed points in the plane is a constant is known as a hyperbola.
- The equation of a hyperbola is x2/a2 -y2/b2 =1 ; whose foci is on the x-axis
- A line segment perpendicular to the transverse axis through any of the foci and whose end points lie on the hyperbola is known as Latus Rectum
- Length of the latus rectum of the hyperbola is 2b2/a ; where equation of hyperbola is x2/a2 - y2/b2 =1
- The eccentricity of a hyperbola is the ratio of the distances from the center of the hyperbola to one of the foci and to one of the vertices of the hyperbola

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