question_answer

The points \[(1,1),\,(-1,5),\,(7,9)\] and \[(9,5)\] taken in such order that it will form a

A)  Rectangle    

B)  Square           

C)         Rhombus    

D)         None of these 

Correct Answer: A

Solution :

Let the points be \[A(1,1),\,B(-1,5),\,C(7,9)\]and \[D(9,5)\] Now, by using distance formula, we get          Hence, AB = CD and BC = DA and AC = BD \[\therefore \] ABCD forms a rectangle.