Multiple Choice Questions on if equation x sup2 y sup2 2gx 2fy c 0 represent a circle exist then find the centre and ra........... for CDS Exam Preparation

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Multiple Choice Questions

if equation x sup2 y sup2 2gx 2fy c 0 represent a circle exist then find the centre and ra...........

Quantitative Aptitude (CDS) Coordinate Geometry
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    if equation x²+y²-2gx-2fy-c=0 represent a circle exist then find the centre and   radius of the circle . 

    centre (g, f) & radius = √(?(g?^2 )+f²-c)

    Incorrect Answer

    centre (-g, -f) & radius = √((g^2 )+f^2+c)

    Incorrect Answer

    centre (g, f) & radius = √((g^2 )+f^2+c) 

    Correct Answer

    centre (-g, -f) & radius =  √(g^2+f^2-c)

    Incorrect Answer
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    Explanation:

     equation of the circle having centre ( h,k ) & radius r is given by 
    (x-h)²+(y-k)²=r²
     equation x²+y²-2gx-2fy-c=0 convert in the above format we get centre as (g,f) 
    radius of this circle =  √(?(g?^2 )+f^2+c) 

    By: bhavesh kumar singh
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