Equation of Circle in Different Forms
Conic Section

119765 Let \(P\) be a variable point on a circle \(C\) and \(Q\) be a fixed point outside \(C\). if \(R\) is the midpoint of the line segment \(P Q\), then locus of \(R\) is

1 A circle
2 A circle and a pair of straight lines
3 A rectangular hyperbola
4 A pair of straight lines
Conic Section

119774 The equation of a circle is \(C: x^2+y^2-6 x-4 y+11=0\).A Point \(P(4,3)\) that lies on this circle is taken, \(A\) diameter with \(P\) as an end is drawn. What will be the coordinates of its order end?

1 \((2,1)\)
2 \((4,3)\)
3 \((5,4)\)
4 \((1,3)\)
Conic Section

119766 The points of intersection of two ellipses

1 \((8,3)\)
2 \((8,1)\)
3 \(\left(\frac{8}{3}, 3\right)\)
4 \((3,8)\)
Conic Section

119767 The locus of the center of a variable circle which always touches two given circles externally is

1 An ellipse
2 A hyperbola
3 A parabola
4 A circle
Conic Section

119765 Let \(P\) be a variable point on a circle \(C\) and \(Q\) be a fixed point outside \(C\). if \(R\) is the midpoint of the line segment \(P Q\), then locus of \(R\) is

1 A circle
2 A circle and a pair of straight lines
3 A rectangular hyperbola
4 A pair of straight lines
Conic Section

119774 The equation of a circle is \(C: x^2+y^2-6 x-4 y+11=0\).A Point \(P(4,3)\) that lies on this circle is taken, \(A\) diameter with \(P\) as an end is drawn. What will be the coordinates of its order end?

1 \((2,1)\)
2 \((4,3)\)
3 \((5,4)\)
4 \((1,3)\)
Conic Section

119766 The points of intersection of two ellipses

1 \((8,3)\)
2 \((8,1)\)
3 \(\left(\frac{8}{3}, 3\right)\)
4 \((3,8)\)
Conic Section

119767 The locus of the center of a variable circle which always touches two given circles externally is

1 An ellipse
2 A hyperbola
3 A parabola
4 A circle
Conic Section

119765 Let \(P\) be a variable point on a circle \(C\) and \(Q\) be a fixed point outside \(C\). if \(R\) is the midpoint of the line segment \(P Q\), then locus of \(R\) is

1 A circle
2 A circle and a pair of straight lines
3 A rectangular hyperbola
4 A pair of straight lines
Conic Section

119774 The equation of a circle is \(C: x^2+y^2-6 x-4 y+11=0\).A Point \(P(4,3)\) that lies on this circle is taken, \(A\) diameter with \(P\) as an end is drawn. What will be the coordinates of its order end?

1 \((2,1)\)
2 \((4,3)\)
3 \((5,4)\)
4 \((1,3)\)
Conic Section

119766 The points of intersection of two ellipses

1 \((8,3)\)
2 \((8,1)\)
3 \(\left(\frac{8}{3}, 3\right)\)
4 \((3,8)\)
Conic Section

119767 The locus of the center of a variable circle which always touches two given circles externally is

1 An ellipse
2 A hyperbola
3 A parabola
4 A circle
Conic Section

119765 Let \(P\) be a variable point on a circle \(C\) and \(Q\) be a fixed point outside \(C\). if \(R\) is the midpoint of the line segment \(P Q\), then locus of \(R\) is

1 A circle
2 A circle and a pair of straight lines
3 A rectangular hyperbola
4 A pair of straight lines
Conic Section

119774 The equation of a circle is \(C: x^2+y^2-6 x-4 y+11=0\).A Point \(P(4,3)\) that lies on this circle is taken, \(A\) diameter with \(P\) as an end is drawn. What will be the coordinates of its order end?

1 \((2,1)\)
2 \((4,3)\)
3 \((5,4)\)
4 \((1,3)\)
Conic Section

119766 The points of intersection of two ellipses

1 \((8,3)\)
2 \((8,1)\)
3 \(\left(\frac{8}{3}, 3\right)\)
4 \((3,8)\)
Conic Section

119767 The locus of the center of a variable circle which always touches two given circles externally is

1 An ellipse
2 A hyperbola
3 A parabola
4 A circle