Find your Math Personality!

Find your Math Personality!

# How many tangents can a circle have?

**Solution:**

A tangent to a circle is a line that intersects the circle at only one point. On every point on the circle, one tangent can be drawn as shown in the figure below.

As per the above diagram, we see that a circle can have infinitely many tangents.

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

**Video Solution:**

## How many tangents can a circle have?

NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1 Question 1

**Summary:**

A circle can have tangents on every point on it. Hence, a circle can have infinitely many tangents

**☛ Related Questions:**

- 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.
- 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 _____.

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