A) Centroid of \[\Delta \text{ }ABC\]
B) Circumcentre of \[\Delta \,ABC\]
C) Orthocentre of \[\Delta \,ABC\]
D) None of these
Correct Answer: C
Solution :
[c] \[\therefore \,(\overset{\to }{\mathop{a}}\,-\overset{\to }{\mathop{d}}\,)(\overset{\to }{\mathop{b}}\,-\overset{\to }{\mathop{c}}\,)=0\] \[\Rightarrow \overrightarrow{DA}\] and \[\overrightarrow{CB}\] are perpendicular \[(\overset{\to }{\mathop{b}}\,-\overset{\to }{\mathop{d}}\,)\cdot (\overset{\to }{\mathop{c}}\,-\overset{\to }{\mathop{a}}\,)=0\] \[\Rightarrow \,\,\overrightarrow{DB}\] and \[\overrightarrow{AC}\] are perpendicular \[\therefore \] D is orthocenter of \[\Delta ABC\]You need to login to perform this action.
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