Draw a Circle with Centre at Point O and Radius 5 Cm. Draw Its Chord Ab, Draw the Perpendicular Bisector of Line Segment Ab. Does It Pass Through the Centre of the Circle? - Mathematics

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Draw a circle with centre at point O and radius 5 cm. Draw its chord AB, draw the
perpendicular bisector of line segment AB. Does it pass through the centre of the circle?

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Steps of construction:
1. With center O and radius 5cm draw a circle
2. Draw a chord AB.
3. With center A and radius more than `1/2` AB draw arcs one on each side of
4. With center B and same radius draw arcs cutting previous arcs at P and Q respectively.
5. Join PQ
∴ yes perpendicular bisector PQ of AB passes through center of the circle

Concept: Basic Constructions
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RD Sharma Mathematics for Class 9
Chapter 16 Constructions
Exercise 16.1 | Q 3 | Page 4

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