- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# 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 $ \overline{\mathrm{AB}} $ and $ \overline{\mathrm{CD}} $ are at right angles.

**Given:**

$A, B$ are the centres of two circles of equal radii.**
**

**To do:**

We have to examine whether $\overline{AB}$ and $\overline{CD}$ are at right angles.

**Solution:**

**
**

Let us draw two circles of equal radii so that each one of them passes through the center of the other.

Mark the centres of these circles as $A$ and $B$ respectively.

The circles intersect each other at $C$ and $D$ respectively.

Join $AC, BC, BD, AD$

Therefore,

A quadrilateral $ADBC$ is formed.

From the quadrilateral $ADBC$,

$AD = AC = BC = BD$ (Radius of both the circles is equal)

Hence, the quadrilateral formed is a rhombus.

We know that,

A rhombus has all the sides equal and its diagonals bisect each other at $90^o$.

Hence, $\overline{AB}$ and $\overline{CD}$ are at right angles.

- Related Questions & Answers
- Show the flex lines with equal space between them
- Count of arrays in which all adjacent elements are such that one of them divide the another in C++
- What is the difference between myopia and hypermetropia? How can one get rid of them?
- How do you compare two fields in MongoDB while performing an operation on one of them?
- Count Triplets such that one of the numbers can be written as sum of the other two in C++
- How to find the mean of list elements without unlisting them in R?
- JavaScript Let
- Getting count of two different sets of rows in a table and then dividing them in MySQL
- How is Java different from C++? Compare both of them.
- Count of strings that become equal to one of the two strings after one removal in C++
- Python program to count distinct words and count frequency of them
- MongoDB query to skip first 5 records and display only the last 5 of them
- How to define points outside the R data frame and draw them in ggplot2 graph?
- Store strings in variables and concatenate them to display them in a single column in MYSQL
- MySQL query to count the number of 0s and 1s from a table column and display them in two columns?
- Convert NFA to DFA and explain the difference between them

Advertisements