## NCERT Solutions for Maths Class 10 Chapter 10 Circles Exercise 10.1 - FREE PDF Download

NCERT Solutions for Class 10 Maths Chapter 10 - Circles Exercise 10.1

## FAQs on NCERT Solutions for Class 10 Maths Chapter 10 - Circles Exercise 10.1

1. What is a circle in Ex 10.1 Class 10?

In Ex 10.1 Class 10, a circle is a shape made up of all points that are the same distance from a fixed point, called the centre. This fixed distance is known as the radius. Circles are fundamental shapes in geometry.

2. What is a tangent to a circle in Ex 10.1 Class 10?

A tangent to a circle is a straight line that touches the circle at exactly one point. This single point is called the point of tangency. The tangent is always perpendicular to the radius at the point of tangency. For more refer Class 10 Circles Exercise 10.1 Solutions.

3. How do you find the length of a tangent from a point outside the circle in Class 10 Maths Ch 10 Ex 10.1?

To find the length of a tangent from an external point, use the Pythagorean theorem, where you can visit Class 10 Maths Ch 10 Ex 10.1 for complete solutions for Pythagorean theorem. Measure the distance from the external point to the centre of the circle, and know the radius. The tangent length can be calculated using these values.

4. What is the point of tangency in Class 10 Maths Ch 10 Ex 10.1?

According to Class 10 Maths Ch 10 Ex 10.1, the point of tangency is the point where the tangent touches the circle. At this point, the tangent is perpendicular to the radius of the circle. This concept is important in understanding circle geometry.

5. Why is the tangent perpendicular to the radius at the point of tangency in Ex10.1 Class 10?

This is a key property of circles. A line drawn from the centre of the circle to the point of tangency is always at a right angle to the tangent. This property helps in solving geometric problems involving circles from Ex10.1 Class 10.

6. What is the importance of understanding tangents in circle geometry Ex10.1 Class 10?

From Ex10.1 Class 10, understanding tangents is crucial because it helps in solving various geometric problems involving circles. Knowledge of tangents aids in proving theorems and understanding circle properties better.

7. How are tangents used in real-life applications in Class 10 Maths Chapter 10 Exercise 10.1?

Tangents are used in many real-life applications, such as in designing wheels, gears, and other circular objects. They are important in engineering, architecture, and navigation for calculating distances and angles.

8. Can a circle have more than one tangent from an external point in Class 10 Maths Chapter 10 Exercise 10.1?

Yes, in Class 10 Maths Chapter 10 Exercise 10.1, a circle can have exactly two tangents from an external point. These tangents are equal in length. This concept is useful in solving geometric problems involving circles.

9. What is the tangent-segment theorem in Class 10 Maths Chapter 10 Exercise 10.1?

The tangent-segment theorem states that the lengths of two tangent segments drawn from an external point to a circle are equal. This theorem is helpful in solving problems related to tangents and circles.

10. How can tangents help in solving problems involving circles in Exercise 10.1 Class 10 Solutions?

Tangents simplify solving problems involving circles by providing relationships between angles and lengths. They are used in various geometric theorems and help in finding solutions to complex problems.

11. What are the key properties of a tangent in Exercise 10.1 Class 10 Solutions?

The key properties of a tangent include touching the circle at one point, being perpendicular to the radius at the point of tangency, and having equal tangent segments from an external point. These properties are fundamental in circle geometry.

12. How do you apply the tangent properties in solving exercises from Exercise 10.1 Class 10 Solutions?

Apply tangent properties by using Exercise 10.1 Class 10 solutions, the relationships between the radius, tangent, and external points. Use the Pythagorean theorem for length calculations, and apply the perpendicularity property for angle problems. Practising these concepts helps in mastering their applications.