If two chords of a circle intersect internally, then the rectangle of two parts of one is equal to the rectangle of two parts of other.

If two circles touch internally,then the distance between the centres of the circles is equal to the sum of their radii.

If two circles intersect each other, then the number of their common tangents will be

a is divided into two such parts that one part is equal to the square of the other part.

Two chords AC and BD of a circle intersect each other at the point O. If two tangents drawn at the points A and B intersect each other at the point P and two tangents drawn at the points C and D intersect at the point Q, prove that angle P+ angle Q =2 angle BOC. [GP-X]

Two chords AB and CD of a circle intersect at a internal point P of the circle. Prove that APxxBP=CPxxDP .

If any chord of a circle divides into equal parts, then each part is called a _______.

The two chords AB and AC of a circle are equal, prove that the bisector, of angleBAC passes through the centre of the circle.

In true or false text If two circles touch each other internally, then three will be only one direct common tangent.

There is an equilateral triangle with side 4 and a circle with the centre on one of the vertex of that triangle. The arc of that circle divides the triangle into two parts of equal area. How long is the radius of the circle?

The lower and upper part of a solid object are hemispherical and conical respectively. If the area of total surface of 2 parts are equal, then find the ratio of the height of two parts of this object.