Question

25. In the given figure A(0, 2y) and (2x, 0) are the end points of the line segment AB. The coordinates of point which is equidistant from the three vertices of AOAB ​

Answer 1

Answer:

Point C is the circumcenter of right triangle AOAB

which it is the midpoint of of hypotenuse AB ( x/2 , y/2 ).

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Answer 2

Answer:

The midpoint of AB is equidistant from the three vertices of ∆ A O B . Hence, the coordinates of C are (x, y).