Using a ruler and compasses only:
In the same diagram, draw a circle which passes through the points A, B and C. and mark its centre O.
Solution:
The eccentricity is 0 and the two foci are coincident in a circle, which is a special type of ellipse. A circle is also known as the location of points that are evenly spaced apart from the centre.
Steps to construct:
Step 1: Draw a line segment AB = 6cm.
Step 2: At point A, draw a ray making an angle of 60o.
Step 3: With B as the center and radius 5.2cm, draw an arc which intersects the ray at C.
Step 4: Join BC.
Step 5: Draw the perpendicular bisector of sides AB and BC which intersects each other at point O.
Step 6: With center as O and radius OA, draw a circle which touches through the points A, B, C.
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