Home
Class 6
MATHS
Say true or false : Two diameters of a...

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

Text Solution

AI Generated Solution

The correct Answer is:
To determine whether the statement "Two diameters of a circle will necessarily intersect" is true or false, let's analyze the concept of a diameter in a circle step by step. ### Step-by-Step Solution: 1. **Understanding the Circle**: - A circle is defined as the set of all points that are equidistant from a fixed point called the center. **Hint**: Remember that the center is the point from which all points on the circle are equidistant. 2. **Defining a Diameter**: - A diameter of a circle is a straight line segment that passes through the center of the circle and has its endpoints on the circle. **Hint**: A diameter divides the circle into two equal halves. 3. **Drawing Two Diameters**: - Let's draw a circle with center O. Now, we can draw one diameter, say AB, which passes through O. Next, we can draw another diameter, say CD, which also passes through O. **Hint**: When drawing diameters, ensure that both lines pass through the center of the circle. 4. **Analyzing the Intersection**: - Since both diameters AB and CD pass through the center O, they will intersect at point O. **Hint**: The intersection point of the two diameters is the center of the circle. 5. **Conclusion**: - Since every pair of diameters will always pass through the center of the circle, they will always intersect at that center point. Therefore, the statement "Two diameters of a circle will necessarily intersect" is true. ### Final Answer: **True** - Two diameters of a circle will necessarily intersect.
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 : The centre of a circle is always in its interior.

Say true or false: Conduction takes place in vacuum.

Say true or false: Good absorbers are good reflectors.

Say true or false: Metals are bad conductors of heat.

Say true or false: Silvering in thermos flask is to reduce radiation.

Let PQ and RS be tangents at the extremities of the diameter PR of a circle of radius r. PS and RQ intersect at a point X on the circumference of the circle. If PQ = 9 and RS = 4, then the diameter of the circle is :

A square has two of its vertices on a circle and the other two on the tangent to the circle. If the diameter of the circle is 10. determine the side of the square.

A circle is symmetrical about each of the diameters. Thus, each diameter of a circle is an axis of symmetry. true or false ?

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

    |