Straight Line Question 46

Question: The straight lines $ x+2y-9=0, $ $ 3x+5y-5=0 $ and $ ax+by-1=0 $ are concurrent, if the straight line $ 35x-22y+1=0 $ passes through the point

Options:

A) $ (a,b) $

B) $ (b,a) $

C) $ (-a,-b) $

D)None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  • The three lines are concurrent. if $ | \begin{matrix} 1 & 2 & -9 \\ 3 & 5 & -5 \\ a & b & -1 \\ \end{matrix} |=0 $

$ \Rightarrow 35a-22b+1=0 $ which is true if the line $ 35x-22y+1=0 $ passes through (a, b).