- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- MS Excel
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP
- Physics
- Chemistry
- Biology
- Mathematics
- English
- Economics
- Psychology
- Social Studies
- Fashion Studies
- Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
Name the figure formed by the points $A (9,\ 0),\ B (9,\ 6),\ C (โ9,\ 6)$ and $D(โ9,\ 0)$.
Given: Points $A (9,\ 0),\ B (9,\ 6),\ C (–9,\ 6)$ and $D(–9,\ 0)$
To do: To find the name of the figure formed by the given points.
Solution:
On using the distance formula,
Distance between the two points$=\sqrt{( x_2-x_1)^2+( y_2-y_1)^2}$
$AB=\sqrt{( 9-9)^2+( 6-0)^2}$
$\Rightarrow AB=6$
$BC=\sqrt{( -9-9)^2+( 6-6)^2}$
$\Rightarrow BC=18$
$CD =\sqrt{( -9+9)^2+( 0-6)^2}$
$\Rightarrow CD=6$
$DA=\sqrt{(-9-9)^2+(0-0)^2}$
$\Rightarrow DA=18$
So, it's opposite sides are equal, hence it is rectangle.
Advertisements