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  • Consider the set of all lines px+qy+r=0 such that 3p+2q+4r=0.which of the following is true?

Consider the set of all lines px+qy+r=0 such that 3p+2q+4r=0.which of the following is true?

  • the lines are concurrent
  • the lines are concurrent at the point (3/4,1/2)
  • the lines are parallel
  • each line passes through the origin

 

Answers (1)

\begin{aligned} &3 p+2 q+4 r=0\\ &p x+q y+r=0 \ \ \ \ \ \ \ ..............(1)\\ &3 / 4 p+q / 2+r=0 \ \ \ \ \ \ ...........(2)\\ &\text {comparing (i) and (ii) } x=3 / 4, y=1 / 2 \end{aligned}

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