Home
Class 9
MATHS
If two diameters of a circle intersect...

If two diameters of a circle intersect each other at right angles, then quadrilateral formed by joining their end points is a rhombus        (b) rectangle   (c) parallelogram  (d) square
Let `AB \and\ CD` be the diagonals of a circle such that `AB_|_CD`

Text Solution

Verified by Experts

Let `AB \and\ CD` be the diagonals of a circle such that `AB_|_CD`
Joining points `A,B,C,D` in order we see that `AB \and\ CD` are the equal diagonals of quad. `ACBD` which intersect at rightangle.
`ACBD` is a square.
Promotional Banner

Topper's Solved these Questions

  • AREA OF PARALLELOGRAMS AND TRIANGLES

    RD SHARMA|Exercise All Questions|205 Videos
  • CONGRUENT TRIANGLE

    RD SHARMA|Exercise All Questions|291 Videos

Similar Questions

Explore conceptually related problems

Two diameters of a circle intersect each other at right angles.Prove that the quadrilateral formed by joining their end-points is a square.

If the diagonals of a quadrilateral bisect each other at right angle, prove that the quadrilateral is a rhombus.

If the two diameters of a circle intersect at right angle, then show that by joining the vertices of the diameters in order, a square is formed.

If the diagonals of a quadrilateral bisect each other at right angle, then the quadrilateral is a parallelogram (b) rectangle (c) rhombus (d) kite

A quadrilateral whose each angle is a right angle is a square (b) rectangle rhombus (d) parallelogram

In the adjoining figure, if chords AB and CD of the circle intesect each other at right angles, then find the value of x+y .

The figure formed by joining the mid-point of the adjacent sides of a parallelogram is a rectangle (b) parallelogram (c) rhombus (d) square

RD SHARMA-CIRCLE -All Questions
  1. In a circle, the major arc is 3 times the minor arc. The correspondi...

    Text Solution

    |

  2. An equilateral triangle A B C is inscribed in a circle with centre...

    Text Solution

    |

  3. In a circle with centre O , AB and C D are two diameters perpendicular...

    Text Solution

    |

  4. Two equal circles of radius r intersect such that each passes throug...

    Text Solution

    |

  5. If A B is a chord of a circle, P and Q are the two points on the c...

    Text Solution

    |

  6. If two diameters of a circle intersect each other at right angles, t...

    Text Solution

    |

  7. If A B C is an arc of a circle and /A B C=135^@, then the ratio of...

    Text Solution

    |

  8. The chord of a circle is equal to its radius. The angle subtended by...

    Text Solution

    |

  9. P Q R S is a cyclic quadrilateral such that P R is a diameter of the...

    Text Solution

    |

  10. If A , B , C are three points on a circle with centre O such that /A...

    Text Solution

    |

  11. A B\ a n d\ C D are two parallel chords of a circle with centre O su...

    Text Solution

    |

  12. In a circle of  radious 17 cm, two parallel chords are drawn on op...

    Text Solution

    |

  13. The greatest chord of a circle is called its (a)radius         (b) ...

    Text Solution

    |

  14. Angle formed in minor segment of a circle is acute     (b)  obtu...

    Text Solution

    |

  15. Number of circles that can be drawn through three non-collinear poi...

    Text Solution

    |

  16. In Figure, O is the centre of the circle such that /A O C\ =130^0,\...

    Text Solution

    |

  17. In Figure, if chords A B\ a n d\ C D of the circle intersect eac...

    Text Solution

    |

  18. In Figure, If /A B C=45^0, then /A O C= 45^0 (b) 60^0 (c) 75^0 (d)...

    Text Solution

    |

  19. In Figure, chords A D\ a n d\ B C intersect each other at right ...

    Text Solution

    |

  20. In Figure, O is the centre of the circle and /B D C=42^0dot The mea...

    Text Solution

    |