question_answer

The orthecentre of the triangle formed by the lines \[\mathbf{5x}-\mathbf{8y}=\mathbf{10},\] \[\mathbf{16x}+\mathbf{10y}=\mathbf{13}\] and y-axis, is _____      

A) \[\left( \frac{102}{89},\frac{-95}{178} \right)\]   

B) \[\left( \frac{51}{89},\frac{89}{95} \right)\]   

C) \[\left( \frac{102}{89},\frac{95}{178} \right)\]      

D) \[\left( \frac{51}{89},\frac{-95}{89} \right)\]

E)  None of these