Question :- 

If one of the vertices of a square is the origin, and the centre of the square is the point (2, √2), then what is it area?
 

a) 6 sq. units     b) 18 sq. units     c) 24 sq. units     d) 12 sq. units


Distance of centre from origin = √6 = half the diagonal. ∴ diagonal = 2√6, or side = √12. So area = 12 sq. units.
 

Ans: d) 12 sq. Units