Straight Line Question 50

Question: If lines $ 4x+3y=1,y=x+5 $ and $ 5y+bx=3 $ are concurrent, then b equals [RPET 1996; MP PET 1997; EAMCET 2003; Pb. CET 2002]

Options:

A)1

B)3

C)6

D)0

Show Answer

Answer:

Correct Answer: C

Solution:

  • Lines are concurrent, if $ | \begin{matrix} 4 & 3 & -1 \\ 1 & -1 & 5 \\ b & 5 & -3 \\ \end{vmatrix} =0 $
    Þ $ 4(3-25)-3(-3-5b)-1(5+b)=0 $
    Þ $ -88+9+15b-5-b=0\Rightarrow -84+14b=0 $ \ $ b=6 $ .