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.​

Answer 1

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