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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

Find the centre and radius of the sphere 2x^2+2y^2+2z^2-2x-4y+2z+3=0 .

Find the vector and cartesian equation of the line passing through the point (2,1,3) and perpendicular to the lines. (x-1)/(1)=(y-2)/(2)=(z-3)/(3) and (x)/(-2)=(y)/(2)=(z)/(5)

Find the image of the point (2,0,1) in the line (x-3)/(1)=(y+2)/(-2)=(z-3)/(5)

Find the angle between the pair of lines (x-2)/(2)=(y-1)/(5)=(z+3)/(-3) and (x+2)/(-1)=(y-4)/(8)=(z-5)/(5) .

Find the angle between the pair of lines (x-2)/(2)=(y-1)/(5)=(z+3)/(-3) and (x+2)/(-1)=(y-4)/(8)=(z-5)/(5) .

Find the angle between the following lines (x-5)/(1)=(2y+6)/(-2)=(z-3)/(1) and (x-2)/(3)=(1+y)/(4)=(z-6)/(5)

Find the angle between the pair of lines (x-2)/2=(y-1)/5=(z+3)/(-3) and (x+2)/(-1)=(y-4)/8=(z-5)/4

Find the vector and cartesian equations of the line passing through the point (2,1,3) and perpendicualr to thelines : (x-1)/1=(y-2)/2=(z-3)/3 and x/-3=y/2=z/5

Find the angle between these two lines (x+2)/(1)=(y-1)/(-2)=(z-1)/(1) and (x-3)/(2)=(y+5)/(-2)=(z-7)/(1) .

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