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Show that the following lines are concur...

Show that the following lines are concurrent: `L_1=(a-b)x+(b-c)y+(c-a)=0` `L_2=(b-c)x+(c-a)y+(a-b)=0` `L_3=(c-a)x+(a-b)y+(b-c)=0`

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Given,`(a−b)x+(b−c)y+a−c=0`
`(b−c)x+(c−a)y+b−a=0`
`(c−s)x+(a−b)y+c−b=0`
For these to be concurrent
​`|[a−b, b−c, c−a],[​b−c, c−a , a−b],[ a−c, b−a, c−b]|​=0 `
`R_1​→R_1​+R_2​+R_3`
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