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Find the centre and radius of sphere 2(...

Find the centre and radius of sphere `2(x-5)(x+1)+2(y+5)(y-1)+2(z-2)(z+2)=7`.

Text Solution

Verified by Experts

The correct Answer is:
Centre `(2, -2, 0),` Radius= `sqrt((51)/(2))`
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Find the centre and radius of the circle 2x^(2)+2y^(2)=3x-5y+7

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Knowledge Check

  • Find the centre and radius of the circle 2x^2+2y^2=3x-5y+7

    A
    `(3/4, (-5)/4), (3sqrt10)/4`
    B
    `(1/4, 2/3), sqrt(10)/4`
    C
    `(3/4, -1/4), (5sqrt(10))/4`
    D
    None of these

  • Equation of the sphere with center (1,-1,1) and radius equal to that of sphere 2x^(2)+2y^(2)+2z^(2)-2x+4y-6z=1 is

    A
    `x^(2)+y^(2)+z^(2)+2x-2y+2z+1=0`
    B
    `x^(2)+y^(2)+z^(2)-2x+2y-2z-1=0`
    C
    `x^(2)+y^(2)+z^(2)+2x+2y-2z+1=0`
    D
    none of these

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