Home
Class 9
MATHS
The perpendicular from the centre of a c...

The perpendicular from the centre of a circle to a chord bisects the chord.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • AREA OF PARALLELOGRAMS AND TRIANGLES

    RD SHARMA ENGLISH|Exercise All Questions|206 Videos

  • CONGRUENT TRIANGLE

    RD SHARMA ENGLISH|Exercise All Questions|290 Videos

Similar Questions

Explore conceptually related problems

The radius of a circle is 17-0 cm and the length of perpendicular drawn from its centre to a chord is 8 0 cm. Calculate the length of the chord.

2 parallel chords 24 cm, and 18 cm, are on the same side of the centre of a circle. If the distance between the chords is 3 cm, calculate the radius of the circle.

Which of the following statements are true and which have are false? In each case give a valid reason for saying so p : Each radius of as circle is a chord of the circle q : The centre of a circle bisects each chord of the circle.

A chord of length 8 cm is drawn at a distance of 3 cm from the centre of a circle. Calculate the radius of the circle.

Find the length of a chord which is at a distance of 5 cm from the centre of a circle of radius 13 cm.

Find the length of a chord which is at a distance of 5 cm from the centre of a circle of radius 10 cm.

(Converse of Theorem 3) The line joining the centre of a circle to the mid-point of a chord is perpendicular to the chord.

Prove that the perpendicular bisector of a chord of a circle always passes through the centre.

Prove that the perpendicular bisector of a chord of a circle always passes through the centre.

If the two equal chords of a circle intersect : (i) inside (ii) on (iii) outside the circle, then show that the line segment joining the point of intersection to the centre of the circle will bisect the angle between the chords.

RD SHARMA ENGLISH-CIRCLE -All Questions
  1. If two arcs of a circle (or of congruent circles) are congruent, then ...

    Text Solution

    |

  2. If two chord of a circle (or of congruent circles) are equal, then ...

    Text Solution

    |

  3. The perpendicular from the centre of a circle to a chord bisects the ...

    Text Solution

    |

  4. If two circles intersect in two points, prove that the line through th...

    Text Solution

    |

  5. Find the length of the chord which is at 12 cm distance from center an...

    Text Solution

    |

  6. In an isosceles triangle A B C with A B=A C , a circle passing through...

    Text Solution

    |

  7. P Q and R S are two parallel chords of a circle and lines R P and S Q ...

    Text Solution

    |

  8. A B C is an isosceles triangle in which A B=A Cdot If Da n dE are the ...

    Text Solution

    |

  9. D and E are points on equal sides A B and A C of an isosceles triangle...

    Text Solution

    |

  10. D\ a n d\ E are, respectively, the points on equal sides A B\ a n d...

    Text Solution

    |

  11. A B C D is a cyclic quadrilateral. A Ba n dD C are produced to meet in...

    Text Solution

    |

  12. In Figure, P Q R S is a cyclic quadrilateral. Find the measure of each...

    Text Solution

    |

  13. Prove that any cyclic parallelogram is a rectangle.

    Text Solution

    |

  14. A Ca n dB D are chords of a circle which bisect each other. Prove that...

    Text Solution

    |

  15. A B C D is a parallelogram. The circle through A ,Ba n dC intersects C...

    Text Solution

    |

  16. Fill in the blanks: All point lying inside/outside a circle are ...

    Text Solution

    |

  17. Write the truth value (T/F) of the following with suitable reasons:...

    Text Solution

    |

  18. The radius of a circle is 13 cm and the length of one of its chords...

    Text Solution

    |

  19. Find the length of a chord which is at a distance of 5 cm from the ...

    Text Solution

    |

  20. In Figure, O is the centre of the circle of radius 5\ c m. O P\ |A B...

    Text Solution

    |