
Q1 How many tangents can a circle have? Ans: Circle is the locus of points equidistant from a given point, which is the centre of the circle. And, tangent is the line which intersects a circle at one point only. On these points which touches at only one point. Hence, a circle can have infinite tangents.
Q2 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 . Ans:  A tangent to a circle intersect it in one point.
 A line intersecting a circle in two points is called a secant.
 A circle can have two parallel tangent s at the most.
 The common point of a tangent of a circle and the circle is called point of contact.
Q3 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 PQ is: Ans: Q4 Draw a circle and two lines parallel to a given line such that one is a tangent and the other, a secant to the circle. Ans: In the given figure , AB and BC are two parallel lines. The line segment BC is the tangent at point x while AB is the secant to the circle.