Q. 26 B5.0( 1 Vote )

# Show that the following points are the vertices of a square:A(6, 2), B(2, 1), C(1, 5) and D(5, 6)

AB = √{(2 – 6)2 + (1 – 2)2} = √{16 + 1} = √17 units

BC = √{(1 – 2)2 + (5 – 1)2} = √{1 + 16} = √17 units

CD = √{(5 – 1)2 + (6 – 5)2} = √{16 + 1} = √17 units

DA = √{(5 – 6)2 + (6 – 2)2} = √{16 + 1} = √17 units

AC = √{(1 – 6)2 + (5 – 2)2} = √{25 + 9} = √34 units

BD = √{(5 – 2)2 + (6 – 1)2} = √{25 + 9} = √34units

Since AB = BC = CD = DA and AC = BD

ABCD is a square.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Section Formula30 mins
Measuring distance by Distance formula49 mins
Champ Quiz | Previous Year NTSE QuestionsFREE Class
Coordinate Geometry Important Questions38 mins
Imp. Qs. on Distance Formula68 mins
Champ Quiz | Distance Formula30 mins
Set of Questions on Section Formula54 mins
Distance Formula and Section Formula44 mins
Champ Quiz | Coordinate Geometry Problems38 mins
Quiz | Solving Important Questions on Section Formula54 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses