The lengths of radii of two circles are 3.5 cm and 2 cm. The two circles touch each other internally. The distances between the centre of two circles is

The length of radius of a circle with centre O is 5 cm. P is a point at the distance of 13 cm from the point O. The length of two tangents are PQ and PR from the point P. The area of quadrilateral PQOR is

The lengths of radii of two circles are 5cm and 3cm. The two circles touch each other externally. The distance between two centers of two circle is

Let us write whether the following statements are true of false:

(i) P is a point inside a circle. Any tangent drawn on the circle does not pass through the point P.

(ii) There are more than two tangents can be drawn to a circle parallel to a fixed line.

Let us fill in the blanks.

(i) If a straight line intersects the circles at two points, then the straight line is called ______of circle.

(ii) If two circles do not intersect or touch each other, then the maximum number of common tangents can be drawn is ________.

(iii) Two circles touch each other externally at the point A. A common tangent drawn to two circles at the point A is _______ common tangent (direct/transverse)