STRAIGHT BUT "TWISTED"

1.THE POINTS (a,b), (c,d),(a,d),(c,b) TAKEN IN ORDER, WHER a,b,c,d are real numbers are:

a. COLLINEAR
b. VERTICES OF A SQUARE
c. VERTICES OF A RHOMBUS
d. CONCYCLIC

given ans:: b

but my answer:: d

PLEASE EXPLAIN IN DETAILS

#Mathematics #Co-ordinate Geometry

5 Answers

is d the corr ans or is it b ??? someone help!

Hey i am also getting the same answer.....the points are definitely not collinear.

The quadrilateral formed by these points is a rectangle...but it becomes a square only iff
a , b , c , d are equal in magnitude..

A random rectangle is ofcourse not a rhombus.

The points must be CONCYCLIC as every rectangle is concyclic...hence option (d)...

@abhishek.94: It becomes a square if |a-c|=|b-d|.

Thanx Sagnik, i missed it :)

thanx all..[1]

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