First slide

Equation of line in Straight lines

Question

If the lines $x + a y + a = 0, b x + y + b = 0, c x + c y + 1 = 0$ (a, b, c being distinct and $\neq 1$ ) are concurrent then the value of $\frac{a}{a - 1} + \frac{b}{b - 1} + \frac{c}{c - 1} =$

Moderate

A

1
B

2
C

3
D

4

Solution

$|\begin{matrix} 1 & a & a \\ b & 1 & b \\ c & c & 1 \end{matrix}| = 0$ Use det properties

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