Respuesta :

C)

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Answer with explanation:

The graph of the function drawn on two dimensional plane is of Quadratic function.

Properties of Discriminant(D)

1. D ≥ 0→→Two Real root.

2. D < 0→→No real root.

3. D=0→→Two real roots which are equal.

Graph does not cuts the x axis once, it means it has no real root. Roots are Imaginary.

As the graph is of the form

(x-3)²=k(y-1), where , k<1.

→→Discriminant will be negative ,so it has no real root.

Option C: Discriminant is negative ,so it has no solution.