Conics
 

Conics problem 20


In the rectangular coordinate system in the plane, the points A (-2.4), B (4.4) and C (5.3) are given.


  • Calculate the angle between the lines OB and AC. (The point O is the starting point of the coordinate system.) Round the result to an angular minute.


  • Write the equation of a circle passing through the points A, B and C. What is the radius of this circle?


  • Write down the equation of that ellipse with foci A and B passing through the point C. Draw an ellipse in the coordinate system.


 

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material editor: Abdullateef Adekunle Olaoye