Equation of Circle in Different Forms
Conic Section

119744 The parametric equations of the circle \(x^2+y^2+2 x-4 y-4=0\) are

1 \(\mathrm{x}=1+3 \cos \theta, \mathrm{y}=2+3 \sin \theta\)
2 \(\mathrm{x}=1+3 \cos \theta, \mathrm{y}=-2+3 \sin \theta\)
3 \(x=-1+3 \cos \theta, y=-2+3 \sin \theta\)
4 \(x=-1+3 \cos \theta, y=2+3 \sin \theta\)
Conic Section

119745 The centre of the circle \(x=2+3 \cos \theta, y=3 \sin\) \(\theta-1\) is

1 \((-2,1)\)
2 \((-1,2)\)
3 \((3,3)\)
4 \((2,-1)\)
Conic Section

119746 Equation of chord of the circle \(x^2+y^2+4 x-6 y\) \(-9=0\) bisected at \((0,1)\) is

1 \(y-1=x\)
2 \(y+1=x\)
3 \(y+1=2 x\)
4 \(y-1=3 x\)
Conic Section

119747 If the coordinates at one end of a diameter of the circle \(x^2+y^2-8 x-4 y+c=0\) are \((-3,2)\), then the coordinates at the other end are

1 \((5,3)\)
2 \((6,2)\)
3 \((1,-8)\)
4 \((11,2)\)
Conic Section

119744 The parametric equations of the circle \(x^2+y^2+2 x-4 y-4=0\) are

1 \(\mathrm{x}=1+3 \cos \theta, \mathrm{y}=2+3 \sin \theta\)
2 \(\mathrm{x}=1+3 \cos \theta, \mathrm{y}=-2+3 \sin \theta\)
3 \(x=-1+3 \cos \theta, y=-2+3 \sin \theta\)
4 \(x=-1+3 \cos \theta, y=2+3 \sin \theta\)
Conic Section

119745 The centre of the circle \(x=2+3 \cos \theta, y=3 \sin\) \(\theta-1\) is

1 \((-2,1)\)
2 \((-1,2)\)
3 \((3,3)\)
4 \((2,-1)\)
Conic Section

119746 Equation of chord of the circle \(x^2+y^2+4 x-6 y\) \(-9=0\) bisected at \((0,1)\) is

1 \(y-1=x\)
2 \(y+1=x\)
3 \(y+1=2 x\)
4 \(y-1=3 x\)
Conic Section

119747 If the coordinates at one end of a diameter of the circle \(x^2+y^2-8 x-4 y+c=0\) are \((-3,2)\), then the coordinates at the other end are

1 \((5,3)\)
2 \((6,2)\)
3 \((1,-8)\)
4 \((11,2)\)
Conic Section

119744 The parametric equations of the circle \(x^2+y^2+2 x-4 y-4=0\) are

1 \(\mathrm{x}=1+3 \cos \theta, \mathrm{y}=2+3 \sin \theta\)
2 \(\mathrm{x}=1+3 \cos \theta, \mathrm{y}=-2+3 \sin \theta\)
3 \(x=-1+3 \cos \theta, y=-2+3 \sin \theta\)
4 \(x=-1+3 \cos \theta, y=2+3 \sin \theta\)
Conic Section

119745 The centre of the circle \(x=2+3 \cos \theta, y=3 \sin\) \(\theta-1\) is

1 \((-2,1)\)
2 \((-1,2)\)
3 \((3,3)\)
4 \((2,-1)\)
Conic Section

119746 Equation of chord of the circle \(x^2+y^2+4 x-6 y\) \(-9=0\) bisected at \((0,1)\) is

1 \(y-1=x\)
2 \(y+1=x\)
3 \(y+1=2 x\)
4 \(y-1=3 x\)
Conic Section

119747 If the coordinates at one end of a diameter of the circle \(x^2+y^2-8 x-4 y+c=0\) are \((-3,2)\), then the coordinates at the other end are

1 \((5,3)\)
2 \((6,2)\)
3 \((1,-8)\)
4 \((11,2)\)
Conic Section

119744 The parametric equations of the circle \(x^2+y^2+2 x-4 y-4=0\) are

1 \(\mathrm{x}=1+3 \cos \theta, \mathrm{y}=2+3 \sin \theta\)
2 \(\mathrm{x}=1+3 \cos \theta, \mathrm{y}=-2+3 \sin \theta\)
3 \(x=-1+3 \cos \theta, y=-2+3 \sin \theta\)
4 \(x=-1+3 \cos \theta, y=2+3 \sin \theta\)
Conic Section

119745 The centre of the circle \(x=2+3 \cos \theta, y=3 \sin\) \(\theta-1\) is

1 \((-2,1)\)
2 \((-1,2)\)
3 \((3,3)\)
4 \((2,-1)\)
Conic Section

119746 Equation of chord of the circle \(x^2+y^2+4 x-6 y\) \(-9=0\) bisected at \((0,1)\) is

1 \(y-1=x\)
2 \(y+1=x\)
3 \(y+1=2 x\)
4 \(y-1=3 x\)
Conic Section

119747 If the coordinates at one end of a diameter of the circle \(x^2+y^2-8 x-4 y+c=0\) are \((-3,2)\), then the coordinates at the other end are

1 \((5,3)\)
2 \((6,2)\)
3 \((1,-8)\)
4 \((11,2)\)