# Telangana SCERT Class 10 Maths Solution Chapter 9 Tangents and Secants to a circle Exercise 9.1

## 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

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Updated: June 25, 2021 — 2:26 pm