Multiple Choice Questions on For which value of k does the pair of equation x2 minus y2 0 and x minus k 2 y2 1 yield a unique pos........... for CDS Exam Preparation

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Multiple Choice Questions

For which value of k does the pair of equation x2 minus y2 0 and x minus k 2 y2 1 yield a unique pos...........

Quantitative Aptitude (CDS) Quadratic Equations
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    For which value of k does the pair of equation x2 − y2 = 0 and (x − k)2 + y2=1 yield a unique positive solution of x?

    2

    Correct Answer

    0

    Incorrect Answer

    ^{\sqrt{2}}

    Incorrect Answer

    -^{\sqrt{2}}

    Incorrect Answer
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    Explanation:

    x2 − y2 = 0 and (x − k)2 + y2=1
    x2 − k2 − 2kx + y2 − 1 = 0
    Here we put y2 = x2
    x2 + k2 − 2kx + x2 − 1 = 0

    For unique positive solution we put k=2
    x = (2/2) = 1

    By: Munesh Kumari
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