Coordinate Geometry Question 62

Question: A point equidistant from the points (2, 0) and (0, 2) is

Options:

A) (1, 4)

B) (2, 1)

C) (1, 2)

D) (2, 2)

Show Answer

Answer:

Correct Answer: D

Solution:

$ {{(x-2)}^{2}}+y^{2}=x^{2}+{{(y-2)}^{2}}\Rightarrow (x,y)=(2,2) $

Trick: Check with option. Obviously, the point (2, 2) is equidistant from the points (2, 0) and (0, 2).