KEAM 2015 Math Paper

In a right angle triangle, the mid-point of the hypotenuse is the circumcenter.Let the coordinates of the point C be (x,y)
Then, (‌

8+x

2

,‌

0+y

2

)=(4,2)
Rightarrow‌quad‌frac‌8+x‌2=4 and frac‌0+y‌2=2
x=0 and y=4
coordinates of C are (0,4) . Hence,