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

Question 3 Constructions Exercise 16.2

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.

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.

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