question_answer

Four points \[A(4,-2),\text{ }B(-3,5),\text{ }C(4,-2)\]and D (k, 3k) are given in such a way that\[\frac{ar(\Delta DBC)}{ar(\Delta ABC)}=\frac{1}{2}\] The value of k is:

A) \[\frac{8}{11}\]             

B) \[\frac{11}{8}\]

C) \[\frac{7}{4}\]              

D) \[\frac{4}{7}\]

E) None of these