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If the roots of a quadratic equation are real and rational, which one of the following best describes the value of the discriminant D ?

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Important Questions on Theory of Equations

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Quantum CAT Also Useful for XAT>Chapter 14 - SNAP>CMAT>Q 2
If the roots of a quadratic equation are real and unequal, which one of the following is necessarily true?
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Quantum CAT Also Useful for XAT>Chapter 14 - SNAP>CMAT>Q 3
If the roots of a quadratic equation are unequal, which one of the following cannot be true?
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Quantum CAT Also Useful for XAT>Chapter 14 - SNAP>CMAT>Q 4
Which one of the following is a correct statement ?
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Quantum CAT Also Useful for XAT>Chapter 14 - SNAP>CMAT>Q 7
Given the two roots 3 and -33, how many quadratic equations can be formed?
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Quantum CAT Also Useful for XAT>Chapter 14 - SNAP>CMAT>Q 22
Which one of the following is false about the equation  4x2-12x+9=0??
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Quantum CAT Also Useful for XAT>Chapter 14 - SNAP>CMAT>Q 23
When the parabola opens upward, then which of the following condition must be satisfied?
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Quantum CAT Also Useful for XAT>Chapter 14 - SNAP>CMAT>Q 24
When the parabola kisses the X-axis then which of the following condition must be satisfied?
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Quantum CAT Also Useful for XAT>Chapter 14 - SNAP>CMAT>Q 25
When the parabola never intersects the X-axis, then which of the following is certainly true?