Question
Question: The position vector a, b, c and d of four distinct points A, B, C, D lie on a plane are such that ...
The position vector a, b, c and d of four distinct points A, B, C, D lie on a plane are such that
|a – d| = |b – d| = |c – d| then the point D is the –
A
Centroid of DABC
B
Orthocentre of DABC
C
Circumcentre of DABC
D
None of these
Answer
Circumcentre of DABC
Explanation
Solution
a – d = – AD, b – d = – BD and c – d = – CD
According to given condn |AD| = |BD| = |CD|
Thus (D) is the circumcentre of DABC.