First slide

Equation of line in Straight lines

Question

If the lines ax+by+c = 0, bx+cy+a = 0 and cx+ay+b=0 $a \neq b \neq c$ are concurrent then the point of concurrency is

Moderate

A

(0,0)
B

(1,1)
C

(2,2)
D

(-1,-1)

Solution

$|\begin{matrix} a & b & c \\ b & c & a \\ c & a & b \end{matrix}| = 0$
a+b+c=0

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