Multiple Choice Questions on Find the midpoints of chord x 2y 0 of circle x sup2 y sup2 2x 4y 1 0 ........ for CDS Exam Preparation

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Multiple Choice Questions

Find the midpoints of chord x 2y 0 of circle x sup2 y sup2 2x 4y 1 0 ........

Quantitative Aptitude (CDS) Coordinate Geometry
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    Find the midpoints of chord x-2y=0 of circle  x²+y²-2x+4y-1=0 .

    (2, 1)

    Incorrect Answer

    (-2 , -1)

    Incorrect Answer

    (4, 2)

    Incorrect Answer

    (0, 0)

    Correct Answer
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    Explanation:

    lets mid point M  (h, k) 
    centre  C = (1 , -2)
    r = √6
    slope of CM = - 1/slope of chord
     = -2
    Equation of CM   2x+y = 0
    2h + k =0
    Equation of chord h -2k =0
    On solving we get M = (0 ,0)

    By: bhavesh kumar singh
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