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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