Question

Let A, B is 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

Answer:

AB and CD are at right angles

Step-by-step explanation:

Step 1 : Mark a point A

Step 2: Draw a circle using compass of some length & taking A as center

Step 3 : MArk any point B on the circle Drawn

Step 4 : Draw a circle taking B as center while keeping the compass Opened Equal length to what opened in 2nd step

Step 5 : Mark circle intersecting point C & D

Step 6 : Join AB

Step 7 : Join CD

Step 8 : Check  AB and CD are at right angles.

we will find that AB and CD are at right angles

Answer 2

Here points A and B are the centres of these circles and these circles are intersecting each other at points C and D respectively.

Now in quadrilateral ADBC, we may observe that:

AD = AC [radius of circle centered at A]

BC = BD [radius of circle centered at B]

Since, radius of both the circles are equal.

Therefore AD = AC = BC = BD

Hence quadrilateral ADBC is a rhombus and in rhombus diagonals bisect each other at 900. Hence NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.1 - 9 and NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.1 - 10 are at right angles.