Q.

If abc and if x+by+c=0, bx+cy+a=0 and cx+ay+b=0 are concurrent. Then the value of 2a2b-1c-1 2b2c-1a-1 2c2a-1b-1

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answer is 8.

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Detailed Solution

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abcbcacab=0 a3+b3+c3=3abc a2bc+b2ca+c2ab=3
2a2b-1c-1 2b2c-1a-1 2c2a-1b-1=2a2bc+b2ca+c2ab=23=8

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