Q.1 How many tangents can a circle have ?
Sol. A circle can have an infinite number of tangents.
Q.2 Fill in the blanks :
(i) A tangent to a circle intersects it in _________ point(s).
(ii) A line intersecting a circle in two points is called a _______.
(iii) A circle can have _______ parallel tangents at the most.
(iv) The common point of a tangent to a circle and the circle is called ______.
Sol. (i) exactly one
(iv) point of contact
Q.3 A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm. Length of PQ is :
(A) 12 cm (B) 13 cm (C) 8.5 cm (D)
Sol. (D). Because,
Q.4 Draw a circle and two lines parallel to a given line such that one is tangent and the other, a secant to the circle.
Sol. The required figure is as under :
Here is the given line and a circle with centre O is drawn.
Line PT is drawn || to line .
PT is the tangent to the circle.
AB is drawn || to line and is the secant.