If a, b, and c (a > 0, c > 0) are in GP, then consider the following in respect of the equation ax² + bx + c = 0:

1.The equation has imaginary roots.

2.The ratio of the roots of the equation is 1:ω where ω is a cube root of unity.

3.The product of roots of the equation is c/a.

Which of the above statements are correct?

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