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Question: If lines ax + by + c = 0, bx + cy + a = 0, cx + ay + b = 0 are concurrent then value of \(\neq\)b \(...

If lines ax + by + c = 0, bx + cy + a = 0, cx + ay + b = 0 are concurrent then value of ≠\neqb ≠\neq c }

A

2

B

4

C

14\frac { 1 } { 4 }

D

12\frac { 1 } { 2 }

Answer

14\frac { 1 } { 4 }

Explanation

Solution

3)

Sol. For concurrent lines

= 0 Ž a + b + c = 0

Ž a2 + b2 + c2 +2ab + 2bc + 2ca = 0

Ž = – 2

= 2–2 = 14\frac { 1 } { 4 }