question_answer

Let A (2,3,5), B(-1,3,2) and \[C(\lambda ,5,\mu )\]be the vertices of \[\Delta ABC\]. If the median through A is equally inclined to the coordinate axes, then

A)  \[8\lambda -5\mu =0\]              

B)  \[10\lambda -7\mu =0\]

C)  \[7\lambda -10\mu =0\]            

D)  \[5\lambda -8\mu =0\]

Correct Answer: B

Solution :

We have, \[\frac{\frac{\lambda -5}{2}}{1}\,=\frac{1}{1}\,=\frac{\mu -8}{2}\] \[\Rightarrow \,\,\,\lambda =7,\,\,\mu =10\]