**Telangana SCERT Solution Class X (10) Maths Chapter 9 Tangents and Secants to a circle Exercise 9.1**

**Exercise 9.1**

**1> Fill in the blanks**

(i) A tangent to a circle touches it in **one** point (5)

(ii) A line intersecting a circle in two Paints is called a **secant of a circle**

(iii) Number of tangents can be drawn to a circle parallel to the given tangent is **infinite.**

(iv) The common point of a tangent to a circle and the circle **point of contact.**

(v) We can draw **infinite** tangents to a given circle.

(vi) A Circle can have **two** parallel tangents at the most.

**Q2> A tangent PQ at a point R of a circle radius 5 cm meets a line through the centre 0 at a point Q so that OQ = 13 CM. Find length of PQ.**

**Given OQ = 13 cm**

**Radius (r) = 5 cm**

**Length of a tangent**

**Q3> Draw a circle and two lines parallel to a given line drawn outside the circle such that one is a tangent and the other, a secant to the circle.**

**Q4> Calculate the length of tangent from a point 15 cm away from the centre of a circle of radius 9 cm.**

**Given that, PO (d) = 15 cm**

**Radius OQ (r) = 9cm**

**Length of tangent PQ**

**Q5> Prove that the tangents to a circle at the end points of a diameter are parallel. Given: ‘0’ is the centre of the circle AB is diameter.**

**Here is your solution of Telangana SCERT Class 10 Math Chapter 9 Tangents and Secants to a circle Exercise 9.1**

**Dear Student, I appreciate your efforts and hard work that you all had put in. Thank you for being concerned with us and I wish you for your continued success.**