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

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Correct option is C

xa+y+1=0, x+yb+1=0,x+y+1c=0x=c−1a−1⋅ac, y=c−1b−1⋅bcx+y+1c=0⇒aa−1+bb−1+1c−1=0⇒aa−1+bb−1+cc−1=1

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If the lines x + ay + a = 0, bx + y + b = 0 and cx + cy + 1 = 0 (a, b, c being distinct and ≠ 1) are concurrent, then the value of aa−1+bb−1+cc−1 is

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Ready to Test Your Skills?

free study material

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