Question

Let A, B be the centres of two circles of equal radii, draw them so that each one of them passes through the centre of the other. Let them intersect at C and D. Examine whether AB and CD are at right angles.
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Answer 1

Yes it is at right angles

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Answer 2

Answer:

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Step-by-step explanation:

Let us draw two circles of same radius which are passing through the centres of the other circle.

Here, point A and B are the centres of these circles and these circles are intersecting each other at point C and O.

In quadrilateral ADBC,

AD=AC(Radius of circle centered at A)

BC=BD(Radius of circle centered at B)

As radius of both circles are equal, therefore, AD=AC=BC=BD

Hence, ADBC is a rhombus and i an rhombus, the diagonals bisect each other at 90  

o

.

Hence,  

AB

 and  

CD

 are at right angles.

solution