Q11 of 31 Page 218

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.

(i) True


Tangents can only meet at a point on the circumference of a circle but cannot meet an internal point.


(ii) False


There can be only two parallel tangents that can be drawn on a circle which will lie diametrically opposite to each other.


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11

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

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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

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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)

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In the adjoining figure O is the centre and BOA is a diameter of the circle. A tangent drawn to a circle at the point P intersects the extended BA at the point T. If ∠PBO = 30°, let us find the value of ∠PTA.