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

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.

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Answer 2

Answer:

I have attached your answer hope it will help you army