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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 5
If one root of the quadratic equation is  2+57, find the other root of this equation.
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Quantum CAT Also Useful for XAT>Chapter 14 - SNAP>CMAT>Q 6
If one root of the quadratic equation is 3-2 i, find the sum of the roots.
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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 8
If one root of a quadratic equation is 8, then what would, definitely, be the other root?
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Quantum CAT Also Useful for XAT>Chapter 14 - SNAP>CMAT>Q 9
Roots can be conjugate except when