Given condition is 3p+2q+4r=0
⇒43p+21q+r=0.......(1)
And given family of line is px+qy+r=0...(ii)
From (i) we can say that equation (ii) always passes through (43,21) .
Hence all lines are concurrent at (43,21) .
Consider the set of all lines px+qy+r=0 such that 3p+2q+4r=0. Which one of the following statements is true?
Held on 9 Jan 2019 · Verified 6 Jul 2026.
The lines are not concurrent.
The lines are concurrent at the point (43,21) .
The lines are all parallel.
Each line passes through the origin.
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