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Prove that the lines ax+by + c = 0, bx+ ...

Prove that the lines `ax+by + c = 0, bx+ cy + a = 0 and cx+ay+b=0 ` are concurrent if `a+b+c = 0 ` or `a+b omega + c omega^(2) + c omega = 0 ` where `omega ` is a complex cube root of unity .

A

a + b = c

B

b + c = a

C

c + a = b

D

a + b + c = 0

Text Solution

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The correct Answer is:
D
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