Comprehension \( \quad \) : Let \( A(2,3,5), B(-1,3,2) \) and \( C(\lambda, 5, \mu) \) are the v...

Comprehension \( \quad \) : Let \( A(2,3,5), B(-1,3,2) \) and \( C(\lambda, 5, \mu) \) are the vertices of a triangle and its median through A meets side \( B C \) at \( D \). \( A D \) is equally inclined with the axes. If \( E \) is the point on \( B C \) such that \( B E: E C=1: 2 \)
Answer the following question based on above passage Equation of line joining points \( A \) and \( B \) is
(a) \( \frac{x-2}{3}=\frac{y-0}{0}=\frac{z-5}{3} \)
(b) \( \frac{x-2}{3}=\frac{y-3}{0}=\frac{z-5}{3} \)
(c) \( \frac{x-2}{3}=\frac{y-3}{0}=\frac{z-5}{2} \)
(d) None of these