Complete solutions of Ex 10.1 Class 10 Maths Chapter 10 with additional questions and answers from new NCERT syllabus textbook Class 10 Maths.

NCERT Solutions for Class 10 Maths Chapter 10 Circles Ex 10.1 are part of NCERT Solutions for Class 10 Maths. Here we have given NCERT Solutions for Class 10 Maths Chapter 10 Circles Ex 10.1.

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 10 |

Subject |
Maths |

Chapter |
Chapter 10 |

Chapter Name |
Circles |

Exercise |
Ex 10.1 |

Number of Questions Solved |
4 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 10 Maths Chapter 10 Circles Ex 10.1

**Ex 10.1 Class 10 Maths Question 1.**

**How many tangents can a circle have?**

**Solution:**

Infinitely many tangents.

**Ex 10.1 Class 10 Maths Question 2.**

**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)** One

**(ii)** Secant

**(iii)** Two

**(iv)** Point of contact.

**Ex 10.1 Class 10 Maths Question 3.**

**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)** \( \sqrt{199} \) cm

**Solution:**

**Given:** OQ = 12 cm and OP = 5 cm

**Ex 10.1 Class 10 Maths Question 4.**

**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.**

**Solution:**

Here, AB is the given line. CD is tangent to the given circle at the point M and parallel to AB, and EF is a secant parallel to AB.

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