1.

Define ellipse.

Answer»

An ellipse is the set of all points in a plane, the sum of whose distances from two fixed points in the plane is a constant. The two fixed points are called foci. 

Points to be noted: 

  • The mid point of the line segment joining the foci is called centre of the ellipse. 
  • The line segment through the foci is called the major axis. 
  • The line segment through the centre and perpendicular to the major axis is called minor axis. 
  • The ends points of major axis are called vertices of the ellipse. 
  • Length of major axis is 2a 
  • length of minor axis is 2b 
  • Distance between the foci is 2c 
  • Relationship between semi-major axis, semiminor axis and distance of the focus from the centre of the ellipse is a2  = b2  + c2  i.e., c = √(a2 - b2)


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