Home
Class 6
MATHS
Say true or false : The centre of a ci...

Say true or false :
The centre of a circle is always in its interior.

Text Solution

AI Generated Solution

The correct Answer is:
To determine whether the statement "The centre of a circle is always in its interior" is true or false, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Definition of a Circle**: - A circle is defined as the set of all points that are at a fixed distance (radius) from a central point (the center). 2. **Identify the Center of the Circle**: - The center of the circle is the point from which all points on the circle are equidistant. 3. **Define the Interior of a Circle**: - The interior of a circle refers to all the points that are inside the circle, which are closer to the center than the radius. 4. **Visualize the Circle**: - If we draw a circle, we can see that the center is located at a point that is not on the boundary but rather inside the circle. 5. **Conclusion**: - Since the center of the circle is indeed located inside the circle and not on the boundary, we can conclude that the statement is true. ### Final Answer: The statement "The centre of a circle is always in its interior" is **True**. ---
Promotional Banner

Topper's Solved these Questions

  • BASIC GEOMETRICAL IDEAS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE(MCQ)LEVEL-1|30 Videos
  • BASIC GEOMETRICAL IDEAS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE(MCQ)LEVEL-2|10 Videos
  • BASIC GEOMETRICAL IDEAS

    MTG IIT JEE FOUNDATION|Exercise NCERT SECTION(EXERCISE 4.5)|6 Videos
  • ALGEBRA

    MTG IIT JEE FOUNDATION|Exercise OLYMPIAD/HOTS CORNER|20 Videos
  • DATA HANDLING

    MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Corner|10 Videos

Similar Questions

Explore conceptually related problems

Say true or false : (a) Two diameters of a circle will necessarily intersect.(b) The centre of a circle is always in its interior.

Say true or false : Two diameters of a circle will necessarily intersect.

A line drawn drom the centre of a circle to a chord always bisects it. (True/False).

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.

Draw any circle and mark a point in its interior

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

Fill in the blanks: (i) The centre of a circle lies in of the circle. (exterior/ interior) (ii) A point, whose distance from the centre of a circle is greater than its radius lies in of the circle. (exterior/ interior) (iii) The longest chord of a circle is a_________ of the circle. (iv) An arc is a _________when its ends are the ends of a diameter. (v) Segment of a circle is the region between an arc and________ of the circle. (vi) A circle divides the plane, on which it lies, in________ parts.

State True or False :- The product of two rational numbers is always rational.

Answer the following as true or false: Two colliner vectors are always equal in magnitude.

MTG IIT JEE FOUNDATION-BASIC GEOMETRICAL IDEAS-NCERT SECTION(EXERCISE 4.6)
  1. From the figure, identify: In the given diagram, name the point(s) ...

    Text Solution

    |

  2. From the figure, identify: In the given diagram, name the point(s) ...

    Text Solution

    |

  3. From the figure, identify: In the given diagram, name the point(s) ...

    Text Solution

    |

  4. From the figure, identify: In the given diagram, name the point(s) ...

    Text Solution

    |

  5. From the figure, identify: In the given diagram, name the point(s) ...

    Text Solution

    |

  6. From the figure, identify: In the given diagram, name the point(s) ...

    Text Solution

    |

  7. From the figure, identify: In the given diagram, name the point(s) ...

    Text Solution

    |

  8. From the figure, identify: In the given diagram, name the point(s) ...

    Text Solution

    |

  9. Is every diameter of a circle also a chord?

    Text Solution

    |

  10. Is every chord of a circle also a diameter?

    Text Solution

    |

  11. Draw any circle and mark its centre

    Text Solution

    |

  12. Draw any circle and mark a radius

    Text Solution

    |

  13. Draw any circle and mark a diameter

    Text Solution

    |

  14. Draw any circle and mark a sector

    Text Solution

    |

  15. Draw any circle and mark a segment

    Text Solution

    |

  16. Draw any circle and mark a point in its interior

    Text Solution

    |

  17. Draw any circle and mark a point in its exterior

    Text Solution

    |

  18. Draw any circle and mark an arc

    Text Solution

    |

  19. Say true or false : Two diameters of a circle will necessarily inter...

    Text Solution

    |

  20. Say true or false : The centre of a circle is always in its interior...

    Text Solution

    |