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Question

Draw a circle with center O and radius 6cm. Draw two non-intersecting circles with radii 3cm each and centers as P and Q respectively passing through O. Now, join P and Q. Draw the diameter of the bigger circle RS such that it is perpendicular to PQ. Join PQRS.
PQRS is a:


A

Rhombus

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B

Rectangle

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C

Square

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D

Trapezium

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Solution

The correct option is A

Rhombus


Draw the circle with center O using compass and ruler. Now, since smaller circles are non intersecting and passing through the point O, there is only one possibility.

After joining PQ, drawing diameter RS perpendicular to PQ and joining PQRS, you will get:

PQRS is a rhombus.


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