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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