Different Cases of Two Circles
Conic Section

119980 The circles \(x^2+y^2-4 x-6 y-12=0\) and \(x^2+y^2\) \(+6 x-8 y+21=0\)

1 intersect at two points
2 touches each other externally
3 touches each other internally
4 neither touches nor intersect
Conic Section

119981 Two circles centered at \((2,3)\) and \((5,6)\) intersect each other. If the radii are equal, the equation of the common chord is

1 \(x-y+1=0\)
2 \(x+y+1=0\)
3 \(x-y-8=0\)
4 \(\mathrm{x}+\mathrm{y}-8=0\)
Conic Section

119982 For what value of \(k\) the circles
\(x^2+y^2+5 x+3 y+7=0\)
\(x^2+y^2-8 x+6 y+x=0 \text { cuts orthogonally }\)

1 16
2 -18
3 -13
4 -10
Conic Section

119984 The angle of intersection of the two circles \(x^2+y^2-2 x-2 y=0\) and \(x^2+y^2=4\), is

1 \(30^{\circ}\)
2 \(60^{\circ}\)
3 \(90^{\circ}\)
4 \(45^{\circ}\)
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Conic Section

119980 The circles \(x^2+y^2-4 x-6 y-12=0\) and \(x^2+y^2\) \(+6 x-8 y+21=0\)

1 intersect at two points
2 touches each other externally
3 touches each other internally
4 neither touches nor intersect
Conic Section

119981 Two circles centered at \((2,3)\) and \((5,6)\) intersect each other. If the radii are equal, the equation of the common chord is

1 \(x-y+1=0\)
2 \(x+y+1=0\)
3 \(x-y-8=0\)
4 \(\mathrm{x}+\mathrm{y}-8=0\)
Conic Section

119982 For what value of \(k\) the circles
\(x^2+y^2+5 x+3 y+7=0\)
\(x^2+y^2-8 x+6 y+x=0 \text { cuts orthogonally }\)

1 16
2 -18
3 -13
4 -10
Conic Section

119984 The angle of intersection of the two circles \(x^2+y^2-2 x-2 y=0\) and \(x^2+y^2=4\), is

1 \(30^{\circ}\)
2 \(60^{\circ}\)
3 \(90^{\circ}\)
4 \(45^{\circ}\)
Conic Section

119980 The circles \(x^2+y^2-4 x-6 y-12=0\) and \(x^2+y^2\) \(+6 x-8 y+21=0\)

1 intersect at two points
2 touches each other externally
3 touches each other internally
4 neither touches nor intersect
Conic Section

119981 Two circles centered at \((2,3)\) and \((5,6)\) intersect each other. If the radii are equal, the equation of the common chord is

1 \(x-y+1=0\)
2 \(x+y+1=0\)
3 \(x-y-8=0\)
4 \(\mathrm{x}+\mathrm{y}-8=0\)
Conic Section

119982 For what value of \(k\) the circles
\(x^2+y^2+5 x+3 y+7=0\)
\(x^2+y^2-8 x+6 y+x=0 \text { cuts orthogonally }\)

1 16
2 -18
3 -13
4 -10
Conic Section

119984 The angle of intersection of the two circles \(x^2+y^2-2 x-2 y=0\) and \(x^2+y^2=4\), is

1 \(30^{\circ}\)
2 \(60^{\circ}\)
3 \(90^{\circ}\)
4 \(45^{\circ}\)
Conic Section

119980 The circles \(x^2+y^2-4 x-6 y-12=0\) and \(x^2+y^2\) \(+6 x-8 y+21=0\)

1 intersect at two points
2 touches each other externally
3 touches each other internally
4 neither touches nor intersect
Conic Section

119981 Two circles centered at \((2,3)\) and \((5,6)\) intersect each other. If the radii are equal, the equation of the common chord is

1 \(x-y+1=0\)
2 \(x+y+1=0\)
3 \(x-y-8=0\)
4 \(\mathrm{x}+\mathrm{y}-8=0\)
Conic Section

119982 For what value of \(k\) the circles
\(x^2+y^2+5 x+3 y+7=0\)
\(x^2+y^2-8 x+6 y+x=0 \text { cuts orthogonally }\)

1 16
2 -18
3 -13
4 -10
Conic Section

119984 The angle of intersection of the two circles \(x^2+y^2-2 x-2 y=0\) and \(x^2+y^2=4\), is

1 \(30^{\circ}\)
2 \(60^{\circ}\)
3 \(90^{\circ}\)
4 \(45^{\circ}\)