Coordinate Geometry Question 171

Point of intersection of the diagonals of a square is at origin and coordinate axes are drawn along the diagonals. If the side is of length a, then one which is not the vertex of the square is

Options:

A) $ (a\sqrt{2},0) $

B) $ ( 0,\frac{a}{\sqrt{2}} ) $

C) $ ( \frac{a}{\sqrt{2}},0 ) $

D) $ ( -\frac{a}{\sqrt{2}},0 ) $

Show Answer

Answer:

Correct Answer: A

Solution:

Obviously, from right angled triangle BOA $ OA=OB=\frac{a}{\sqrt{2}} $

Hence the vertex $ (a\sqrt{2},0) $ is not the vertex of square.



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