# 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 _____.

**Solution:**

(i) A tangent to a circle is a line that intersects the circle at only one point.

**Answer:** One

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

**Answer: Secant**

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

A tangent at any point of a circle is perpendicular to the radius through the point of contact. An extended radius is a diameter that has two endpoints and hence only two tangents are parallel to themselves and perpendicular to the diameter.

**Answer: Two**

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

A tangent to a circle is a line that intersects the circle at only one point and that point is called a point of contact.

**Answer: Point of contact**

**☛ Check: **NCERT Solutions Class 10 Maths Chapter 10

**Video Solution:**

## 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 _____.

Maths NCERT Solutions Class 10 Chapter 10 Exercise 10.1 Question 2

**Summary:**

(i) A tangent to a circle intersects it in __One__ point, (ii) A line intersecting a circle in two points is called a __ Secant__, (iii) A circle can have __ Two __parallel tangents at the most, and (iv) The common point of a tangent to a circle and the circle is called __Point of contact__.

**☛ Related Questions:**

- How many tangents can a circle have?
- A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm. Length PQ is: (A) 12 cm (B) 13 cm (C) 8.5 cm (D) √119 cm
- 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.

visual curriculum