Which of the following equations represents a cirlce? If so, determine its centre and radius
`3x ^2 + 3y^2 + 6x - 4y - 1=0`.

Which of the following equations are consistent? If consistent, find their solutions. {:(x - 3y - 8z = -10),(3x + y - 4z = 0),(2x + 5y + 6z = 13):}

In the following, find the centre and radius of the circles.:- x^2 + y^2 -4x -8y -45 = 0

If the equation lambda x^2+(2 lambda-3)y^2-4x-1=0 represents a circle, then its radius is :

Prove that the equation x^2 + y^2 + 2gx + 2fy + c = 0 represents a circle and find its centre and radius.

Which of the following pairs of linear equations are consistent ? Obtain solution in such cases graphically :- 2x-3y=5 , 6x-4y=3 .

Determine whether the following represents a circle, a point or no circle : x^2 + y^2- 3x+3y +10 =0 .

If the equation of a circle is: x^2 + y^2-4x-8y -45 =0 , then its centre is :

Determine the radius and centre of the circle : x^2 +y^2-x+2y-3=0 .

Which of the following pairs of linear equations are consistent ? Obtain solution in such cases graphically :- 6x+2y=5 , 3x+y=2.

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