Using a ruler and a pair of compasses only, construct:

A circle which passes through the points A, B and C and mark its centre as O.

Question

Using a ruler and a pair of compasses only construct A circle which passes through the points A B and C and mark its centre as O

Accepted Answer

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 locus of points that are evenly spaced apart from the centre Steps to construct Step 1 Draw a line segment AB 4cm Step 2 At point B draw a ray BX making an angle of 90o and cut off BC 6cm Step 3 Join AC Step 4 Draw the perpendicular bisectors of sides AB and AC intersecting each other at point O Step 5 With center as O and radius equal to OB or OA or OC draw a circle which passes through points A B C

ML Aggarwal Solutions Class 10 Mathematics Solutions for Constructions Exercise 16.2 in Chapter 16 - Constructions