# RD Sharma Solutions for Class 10 Maths Chapter 10 Circles Exercise 10.1

A Circle is a collection of all points equidistant from a fixed point. But it doesn’t stop there. Interesting concepts like secant and tangent to a Circle are discussed in this exercise. Students aiming to build a strong foundation in these Maths concepts can access the RD Sharma Solutions Class 10. Further, students can also download RD Sharma Solutions for Class 10 Maths Chapter 10 Circles Exercise 10.1 PDF provided below to practise offline as well.

## RD Sharma Solutions for Class 10 Maths Chapter 10 Circles Exercise 10.1

### Access Answers to RD Sharma Solutions for Class 10 Maths Chapter 10 Circles Exercise 10.1

1. Fill in the blanks:

(i) The common point of tangent and the circle is called _________.

(ii) A circle may have _____ parallel tangents.

(iii) A tangent to a circle intersects it at ______ point.

(iv) A line intersecting a circle in two points is called a _______.

(v) The angle between the tangent at a point P on the circle and the radius through the point is _______.

Solution:

(i) The common point of tangent and the circle is called the point of contact.

(ii) A circle may have two parallel tangents.

(iii) A tangent to a circle intersects it at one point.

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

(v) The angle between the tangent at a point P on the circle and the radius through the point is 90°.

2. How many tangents can a circle have?

Solution:

A tangent is defined as a line intersecting the circle at one point. Since there is an infinite number of points on the circle, a circle can have many (infinite) tangents.