# CBSE Class 10-Mathematics: Questions and Answers Chapter – 10 Circles Part 5 (For CBSE, ICSE, IAS, NET, NRA 2023)

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**Question 2**:

A tangent at a point P of a circle of radius meets a line through the centre O at a point so that . Length is:

(A) 12 cm

(B) 13 cm

(C) 8.5 cm

(d)

**Answer**:

(D) is the tangent and is the radius through the point of contact.

[The tangent at any point of a circle is to the radius through the point of contact]

In right triangle ,

**Question 3**:

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.

**Answer**:

**Question 4**:

From a point Q, the length of the tangent to a circle is and the distance of Q from the centre is . The radius of the circle is:

(A)

(B)

(C)

(D)

**Answer**:

(A)

[The tangent at any point of a circle is to the radius through the point of contact]

**Question 5**:

In figure, if TP and are the two tangents to a circle with centre so that , then PTQ is equal to:

(A)

(B)

(C)

(D)

**Answer**:

(B)

[The tangent at any point of a circle is to the radius through the point of contact]

In quadrilateral OPTQ,

[Angle sum property of quadrilateral]