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Which of the following quadratic curves will not intersect with the x- axis?

Which of the following quadratic curves will not intersect with the x- axis?
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  • A \(y = 2 - 4x - x^{2}\)
  • B \(y = x^{2} - 5x -1\)
  • C \(y = 2x^{2} - x - 1\)
  • D \(y = 3x^{2} - 2x + 4\)
Correct Answer: Option D
Explanation:
The criterion for the quadratic curve to intersect the x- axis is \(b^{2} > 4ac\).

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