Q. 64.5( 4 Votes )

The point equidistant from points (0, 0), (2, 0) and (0, 2) is:
A. (1, 2)

B. (2, 1)

C. (2, 2)

D. (1, 1)

Answer :

We have A (0, 0)


B (2, 0)


C (0, 2)


Let D (x,y) be equidistant from A, B and C.


We know that distance of a point A (x,y) from origin O (0, 0) is given as OA =


AD = …(i)


Using the distance formula,


BD =


=


= –––(ii)


CD =


= –––(iii)


Since D is equidistant from A, B and C


Equating eq (i) and (ii)



Squaring both sides



4y – 4 = 0


y = 1


Equating eq (i) and (iii)



Squaring both sides



4x – 4 = 0


x = 1


The required point is D (1, 1).


The correct option is D.

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