## NCERT Solutions for Class 10 Maths Chapter 10 Circles Ex 10.2

In Q.1 to 3 choose the correct option and give justification.

Ex 10.2 Class 10 Maths Question 1.

From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. The radius of the circle is

(a) 7 cm

(b) 12 cm

(c) 15 cm

(d) 24.5 cm

Solution:

Ex 10.2 Class 10 Maths Question 2.

In figure, if TP and TQ are the two tangents to a circle with centre O so that ∠POQ = 110°, then ∠PTQ is equal to

(a) 60°

(b) 70°

(c) 80°

(d) 90°

Solution:

Download NCERT Solutions For Class 10 Maths Chapter 10 Circles PDF

Ex 10.2 Class 10 Maths Question 3.

If tangents PA and PB from a point P to a circle with centre O are inclined to each other at angle of 80°, then ∠POA is equal to

(a) 50°

(b) 60°

(c) 70°

(d) 80°

Solution:

Ex 10.2 Class 10 Maths Question 4.

Prove that the tangents drawn at the ends of a diameter of a circle are parallel.

Solution:

Ex 10.2 Class 10 Maths Question 5.

Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre.

Solution:

Ex 10.2 Class 10 Maths Question 6.

The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4 cm. Find the radius of the circle.

Solution:

Ex 10.2 Class 10 Maths Question 7.

Two concentric circles are of radii 5 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle.

Solution:

Ex 10.2 Class 10 Maths Question 8.

A quadrilateral ABCD is drawn to circumscribe a circle (see figure). Prove that AB + CD = AD + BC.

Solution:

Ex 10.2 Class 10 Maths Question 9.

In figure, XY and X’Y’ are two parallel tangents to a circle , x with centre O and another tangent AB with point of contact C intersecting XY at A and X’Y’ at B. Prove that ∠AOB = 90°.

Solution:

Ex 10.2 Class 10 Maths Question 10.

Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line segment joining the points of contact at the centre.

Solution:

Ex 10.2 Class 10 Maths Question 11.

Prove that the parallelogram circumscribing a circle is a rhombus.

Solution:

Ex 10.2 Class 10 Maths Question 12.

A triangle ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 8 cm and 6 cm respectively (see figure). Find the sides AB and AC.

Solution:

Ex 10.2 Class 10 Maths Question 13.

Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.

Solution:

### NCERT Solutions for Class 10 Maths Chapter 10 Circles (Hindi Medium) Ex 10.2

<!– –>

- Words by Length
- NEET MCQ
- Factoring Calculator
- Rational Numbers
- CGPA Calculator
- TOP Universities in India
- TOP Engineering Colleges in India
- TOP Pharmacy Colleges in India
- Coding for Kids
- Math Riddles for Kids with Answers
- General Knowledge for Kids
- General Knowledge
- Scholarships for Students
- NSP – National Scholarip Portal
- Class 12 Maths NCERT Solutions
- Class 11 Maths NCERT Solutions
- NCERT Solutions for Class 10 Maths
- NCERT Solutions for Class 9 Maths
- NCERT Solutions for Class 8 Maths
- NCERT Solutions for Class 7 Maths
- NCERT Solutions for Class 6 Maths
- NCERT Solutions for Class 6 Science
- NCERT Solutions for Class 7 Science
- NCERT Solutions for Class 8 Science
- NCERT Solutions for Class 9 Science
- NCERT Solutions for Class 10 Science
- NCERT Solutions for Class 11 Physics
- NCERT Solutions for Class 11 Chemistry
- NCERT Solutions for Class 12 Physics
- NCERT Solutions for Class 12 Chemistry

- NCERT Solutions for Class 10 Science Chapter 1
- NCERT Solutions for Class 10 Science Chapter 2
- Metals and Nonmetals Class 10
- carbon and its compounds class 10
- Periodic Classification of Elements Class 10
- Life Process Class 10
- NCERT Solutions for Class 10 Science Chapter 7
- NCERT Solutions for Class 10 Science Chapter 8
- NCERT Solutions for Class 10 Science Chapter 9
- NCERT Solutions for Class 10 Science Chapter 10
- NCERT Solutions for Class 10 Science Chapter 11
- NCERT Solutions for Class 10 Science Chapter 12
- NCERT Solutions for Class 10 Science Chapter 13
- NCERT Solutions for Class 10 Science Chapter 14
- NCERT Solutions for Class 10 Science Chapter 15
- NCERT Solutions for Class 10 Science Chapter 16

#### Free Resources

RD Sharma Class 12 Solutions | RD Sharma Class 11 |

RD Sharma Class 10 | RD Sharma Class 9 |

RD Sharma Class 8 | RD Sharma Class 7 |

CBSE Previous Year Question Papers Class 12 | CBSE Previous Year Question Papers Class 10 |

NCERT Books | Maths Formulas |

CBSE Sample Papers | Vedic Maths |

NCERT Library |

#### NCERT Solutions

NCERT Solutions for Class 10 |

NCERT Solutions for Class 9 |

NCERT Solutions for Class 8 |

NCERT Solutions for Class 7 |

NCERT Solutions for Class 6 |

NCERT Solutions for Class 5 |

NCERT Solutions for Class 4 |

NCERT Solutions for Class 3 |

NCERT Solutions for Class 2 |

NCERT Solutions for Class 1 |

#### Quick Resources

English Grammar | Hindi Grammar |

Textbook Solutions | Maths NCERT Solutions |

Science NCERT Solutions | Social Science NCERT Solutions |

English Solutions | Hindi NCERT Solutions |

NCERT Exemplar Problems | Engineering Entrance Exams |

Like us on Facebook | Follow us on Twitter |

Watch Youtube Videos | NCERT Solutions App |

Comments are closed