A) The lines are all parallel
B) Each line passes through the origin.
C) The lines are concurrent at the point
D) \[\left( \frac{3}{4},\frac{1}{2} \right)\]
Correct Answer: D
Solution :
\[4Px\,+\,4qy\,+\,4r\,=\,0\]and \[4r\,=\,-3p-\,2q\] |
\[\Rightarrow \] \[P\,(4x-3)\,+q\,(4y-2)\,=\,0\] |
This is equation of family of lines passing through |
point of intersection of the lines' |
\[4x\,-\,3\,=\,0\,and\,4y\,-\,2\,=\,0\] |
i.e., \[\left( \frac{3}{4},\frac{1}{2} \right).\] |
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