0

Guest

Courses New

Show that the points (8,4),(5,7),(-1,1),(2,-2)[taken in order] form a rectangle.

Show that the points (8,4),(5,7),(-1,1),(2,-2)[taken in order] form a rectangle.
 

Grade:9

2 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
4 years ago
576-2151_1.PNG
Vikas TU
14149 Points
4 years ago
Dear student 
Opposite sides of rectangle are congruent
d (P, Q)=
 sqrt{(8 - 2)^{2} }  +  sqrt{(4 + 2}^{2} 
=
 sqrt{36 + 36} 

=
 sqrt{72} 
=
 sqrt{8 \times 9} 

=
3 sqrt{8} 
similarly, d (Q, R), d (R, S)and d (P, S) will be
3 sqrt{8} 
Hence points P, Q, R and S form a rectangle

Think You Can Provide A Better Answer ?

Other Related Questions on Analytical Geometry

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More