1.

In three dimensions there may be more than one point, which are equidistant from three given noncolliner points A,B,C. One of these points will be circumcentre of the triangle ABC The y coordinate of orthocentre of the triangle ABC

Answer»

`((3A^(2)C^(2)-a^(2)B^(2)-b^(2)c^(2))/(a^(2)b^(2)+b^(2)c^(2)+c^(2)a^(2)))`
`(ab+b^(2)-AC)/(a+b+c)`
`b-(2(a^(2)c^(2)-b))/(a^(3)+b^(3)+c^(3))`
`(a^(2)bc^(2))/(b^(2)c^(2)+c^(2)a^(2)+a^(2)b^(2))`

ANSWER :a


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