Find the value of 'p', if the straight lies x+p=0,y+2=0 and 3x+2y+5=0 are concurrent.

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Solution

$\begin{matrix} x + p = 0................. (1) y + 2 = 0................. (2) 3 x + 2 y + 5 = 0.............. (3) p t . o f i n t e r sec t i o n o f l i n e s (2) a n d (3) (\frac{- 1}{3}, - 2) - \frac{1}{3} + p = 0 \Rightarrow p = \frac{1}{3} \end{matrix}$

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