# CBSE Class 10-Mathematics: Questions and Answers Chapter – 10 Circles Part 4 (For CBSE, ICSE, IAS, NET, NRA 2022)

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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__.