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If the three lines a x+a^2y+1=0,\ b x+b^...

If the three lines `a x+a^2y+1=0,\ b x+b^2y+1=0\ a n d\ c x+c^2y+1=0` are concurrent, show that at least two of three constants `a , b ,\ c` are equal.

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The given lines can be written as follows:` ax + a^2y + 1 = 0 … (1)`
` bx + b^2y + 1 = 0 … (2) `
`cx + c^2y + 1 = 0 … (3) `
The given lines are concurrent.
so,`|[a,a^2,1],[b,b^2,1],[c,c62,1]|`
...
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