Question

The coordinates of the point which is equidistant from the three vertices of the $\Delta AOB$ as shown in the given figure.

• A. $(x,y)$
• B. $(y,x)$
• C. $\frac{x}{2},\frac{y}{2}$
• D. $\frac{y}{2},\frac{x}{2}$

Answer 1

The correct option is A $(x,y)$

Point which is equidistant from vertices of triangle is termed as circumcentre of that triangle. For a right triangle the circumcentre is the mid point of hypotenuse.

Thus here coordinates of circumcentre must be mid point of $AB$

$(x,y)$

Answer - Option $A$