What will be the sign of constant of the quadratic polynomial if the parabola of the graph of the polynomial doesn't cut the Y-axis?

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Q. If graph of quadratic polynomial ax² + bx + c cuts positive direction of y-axis, then what is the sign of c?

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If the graph of a quadratic polynomial $a x^{2} + b x + c$ does not touch or cut the X-axis (as shown above), which of the following statements is correct?

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