Multiple Choice Questions on If the equation x2 2 1 k x k2 0 has equal roots then what is the value of k ........ for CDS Exam Preparation

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Multiple Choice Questions

If the equation x2 2 1 k x k2 0 has equal roots then what is the value of k ........

Quantitative Aptitude (CDS) Algebra
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    If the equation x2 + 2(1 + k) x + k2 = 0 has equal roots, then what is the value of k?

    1/2

    Incorrect Answer

    -1/2

    Correct Answer

    1

    Incorrect Answer

    -1

    Incorrect Answer
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    Explanation:

    x2 + 2(1 + k) x + k2 = 0.

    If it has equal roots, then ?? = 0

    ⇒ {2(1 +k)}2 − 4k2 = 0
    ⇒ 4(1+k2 + 2k) − 4k2 = 0
    ⇒ 4 + 4k2 +8k − 4k2 = 0 ⇒ 4 + 8k = 0
    ⇒ k = –4/8
    ∴ k = –1/2

    By: Munesh Kumari
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