# Consider the set of all lines px+pq+r=0 such that 3p+2q+4r=0. Which one of the following statements is true ?

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Consider the set of all lines $px+pq+r=0$ such that $3p+2q+4r=0$. Which one of the following statements is true ?

(1) The lines are all parallel.

(2) Each line passes through the origin.

(3) The lines are not concurrent

(4) The lines are concurrent at the point $\left({3\over4},{1\over2}\right)$
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Co-ordinate geometry, 2-D co-ordinate geometry