Circle and a Point
Circle and a Point: Overview
This topic covers concepts such as Interaction between Point and a Circle, Position of a Point with Respect To a Circle, Distance of a Point from a Circle, Greatest Distance of a Point from a Circle, Least Distance of a Point from a Circle, etc.
Important Questions on Circle and a Point
is a point on circle . Which of the following is a point on the circle at units distance from ?

The maximum distance of any point on the circle from the Centre of the ellipse is

The equation of the radical axis of the circles and is

If the points and are conjugated with respect the circle , then the value of is

If the point lies inside the circle and the circle does not touch or intersect the coordinates axes, then

From the point on the circle a chord is drawn and extended to a point , such that ( lies between & ). Then, the locus of the point is

If and are the maximum and minimum values of for pair of real numbers which satisfy the equation , then the value of is

The value of such that the power of the point with respect to the circle is is

The sum of the minimum and maximum distances of the point to the circle is

The sum of the minimum and maximum distances of the point (4, -3) to the circle is

Difference between maximum & minimum distance of point from is

Let be two points and be a point such that . If area of is 1 sq. unit. Then maximum number of positions of C in plane is

Maximum distance of any point on the circle from the centre of the ellipse is

If the point lies outside the circles , then

and are three points such that angle is a right angle and the area of triangle , then the number of such point is

The radius of the circle passing through the point and two of whose diameters are and is -

If the point lies outside the circles and then

Difference between maximum & minimum distance of point from is

If and are two points on the circle which are farthest and nearest respectively from the point , then -

If is the angle subtended by the circle at the point and then
