# CBSE Class 10-Mathematics: Questions and Answers Chapter –10 Circles Part 4

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**Question 20:**

The length of tangent from a point A at a distance of from the centre of the circle is . What will be the radius of circle?

(a)

(b)

(c)

(d) None of these

**Answer:**

(c)

**Question 21:**

In the figure given below, PA and PB are tangents to the circle drawn from an external point. is a third tangent touching the circle at . If and , what is the length of ?

(a)

(b)

(c)

(d)

**Answer:**

(a)

**Question 22:**

The tangent of a circle makes angle with radius at point of contact

(a)

(b)

(c)

(d) None of these

**Answer:**

(c)

**Question 23:**

If tangent PA and PB from a point P to a circle with center O are inclined to each other at an angle of , then what is the value of ?

(a)

(b)

(c)

(d)

**Answer:**

(b)

## 2 Mark Questions

**Question 1:**

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 _______________.

**Answer:**

(i) A tangent to a circle intersects it in __one__ point.

(ii) A line intersecting a circle in two points is called a __secan__t.

(iii) A circle can have __two__ parallel tangents at the most.

(iv) The common point of a tangent to a circle and the circle is called __point of contact__.