Q. 8

Prove that the points (1, –2), (3, 0), (1, 2) and (–1, 0) are the vertices of a square.

Answer :

We have A (1, –2)



B (3, 0)


C (1, 2)


D (–1, 0)


Using the distance formula,


















We find that AB = BC = CD = DA.


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
Chemical Co-ordination VS Neural Co-ordinationChemical Co-ordination VS Neural Co-ordinationChemical Co-ordination VS Neural Co-ordination48 mins
Some Interesting Proofs in GeometrySome Interesting Proofs in GeometrySome Interesting Proofs in Geometry36 mins
Quiz | Chemical Co-ordinationQuiz | Chemical Co-ordinationQuiz | Chemical Co-ordination47 mins
Quiz | Neural  Co-ordinataionQuiz | Neural  Co-ordinataionQuiz | Neural Co-ordinataion51 mins
Section FormulaSection FormulaSection Formula30 mins
Previous Year RMO QuestionsPrevious Year RMO QuestionsPrevious Year RMO Questions43 mins
NCERT | Most Important Proofs for BoardsNCERT | Most Important Proofs for BoardsNCERT | Most Important Proofs for Boards28 mins
Know About Important Proofs in TrianglesKnow About Important Proofs in TrianglesKnow About Important Proofs in Triangles33 mins
Foundation | Human Endocrine SystemFoundation | Human Endocrine SystemFoundation | Human Endocrine System58 mins
Champ Quiz | Previous Year NTSE QuestionsChamp Quiz | Previous Year NTSE QuestionsChamp Quiz | Previous Year NTSE QuestionsFREE Class
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
caricature
view all courses