Home
Class 10
MATHS
If all the sides of a parallelogram touc...

If all the sides of a parallelogram touch a circle, show that the paralleIogram is a rhombus.

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGONOMETRY

    R G PUBLICATION|Exercise EXERCISE|95 Videos

  • MODEL PAPER 2

    R G PUBLICATION|Exercise EXERCISE|26 Videos

Similar Questions

Explore conceptually related problems

Length of one side of the parallelogram is 6 cm. If the height of the parallelogram with respect to this side is 3 cm., then find its area.

The diagonals of a quadrilateral bisects each other at right angles. Show that the quadrilateral is a rhombus.

Prove that parallelogram circumscribing a circle is a rhombus.

If cosines of two angles of a triangle are proportional to the opposite sides, show that the triangle is isosceles

E is a point on the side AD produced of a parallelogram ABCD and BE intersects CD at F. Show that triangleABE~triangleCFB .

E is any point on the side BC of the parallelogram ABCD. AE intersects the diagonal BD at point F. Prove that DF×EF=FB×FA .

State whether True or False. All parallelograms are trapeziums

Using vector method find the area of a parallelogram whose adjacent sides are given by the vectors veca and vecb .

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

M is the mid point of the side CD of the parallelogram ABCD. The line BM is drawn intersecting AC in L and AD produced Prove that (i) ALxxLM=CLxxBL

R G PUBLICATION-MODEL PAPER 1-EXERCISE
  1. If A,B,C are the interior angles of ABC, then prove that cos((A+B)/2)=...

    Text Solution

    |

  2. Prove that sqrt5 is irrational.

    Text Solution

    |

  3. If alpha and beta are the two zeroes of the quadratic polynomial x^2-3...

    Text Solution

    |

  4. Prove that (1-sintheta)/(1+sintheta)=(sectheta-tantheta)^2.

    Text Solution

    |

  5. Prove that in a right traiangle, the square of the hypotemuse is equal...

    Text Solution

    |

  6. Show that any positive even integer is of the form 6q, 6q+2 ,6q+4.

    Text Solution

    |

  7. In the figure ,DeltaABC is right angles at B, BC=7cm and AC-AB=1cm. Fi...

    Text Solution

    |

  8. In figure D,E,F are midpoints of sides BC,CA,AB respectively of DeltaA...

    Text Solution

    |

  9. Find the coordinates of a point A,where AB is the diameter of a circle...

    Text Solution

    |

  10. 2 cubes each of volume 64cm^3 are joined end to end.Find the surface a...

    Text Solution

    |

  11. Prove that parallelogram circumscribing a circle is a rhombus.

    Text Solution

    |

  12. In what ratio does the x-axis divide the line segment joining the poin...

    Text Solution

    |

  13. If all the sides of a parallelogram touch a circle, show that the para...

    Text Solution

    |

  14. AB and CD are two parallel tangents to a circle with centre O. ST is a...

    Text Solution

    |

  15. The angle of elevation of an aeroplane from a point A on the ground is...

    Text Solution

    |

  16. A well of diameter 3 m is dug 14 m deep.They earth taken out of it has...

    Text Solution

    |

  17. Without using trigonometric tables, evaIuate the following:sec37^@/(co...

    Text Solution

    |

  18. A bag contains 5 white balls, 7 red balls, 4 black balls and 2 blue ba...

    Text Solution

    |

  19. A bag contains 5 white balls, 7 red balls, 4 black balls and 2 blue ba...

    Text Solution

    |

  20. A bag contains 5 white balls, 7 red balls, 4 black balls and 2 blue ba...

    Text Solution

    |