Home
Class 10
MATHS
A triangle is drawn by joining a point o...

A triangle is drawn by joining a point on a semicircle to the end of the diameter. Then semicircles are drawn with the other two sides as diameter.
'(##VPU_TTT_MAT_X_P01_C02_E01_009_Q01##)'
Prove that the sum of the areas of the blue and red crescents in the second pictúre is equai to the area of the triangle.

Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC SEQUENCES

    V PUBLICATION|Exercise Question Bank|124 Videos
  • COORDINATES

    V PUBLICATION|Exercise QUESTION BANK|56 Videos
V PUBLICATION-CIRCLES-QUESTION BANK
  1. Prove that the two circles drawn on the two equal sides of an isoscele...

    Text Solution

    |

  2. a) Prove that all four circles drawn with the sides of a rhombus as di...

    Text Solution

    |

  3. A triangle is drawn by joining a point on a semicircle to the end of t...

    Text Solution

    |

  4. In the figure circles with centres 'A' and 'B' intersect at 'Q' and 'S...

    Text Solution

    |

  5. Á circle is drawn with AB as diameter. Find the position of the points...

    Text Solution

    |

  6. In the figure 'triangle ABC' is a right angle. '(##VPUTTTMATXP01C02E...

    Text Solution

    |

  7. In quadrilateral 'ABCD, AB=3 cm, BC' '=4 cm, AC=5 cm, / A=120^circ' an...

    Text Solution

    |

  8. In all the pictures given below, 'O' is the centre of the circle and '...

    Text Solution

    |

  9. The numbers 1,4, 8 on a clock’s face are joined to make a triangle. ...

    Text Solution

    |

  10. In each problem below, draw a circle and a chord to divide it into two...

    Text Solution

    |

  11. A rod bent:into an angle is placed with its comer at the centre of a c...

    Text Solution

    |

  12. In, the picture, 0 is the centre of the circle and 'A, B, C', are poin...

    Text Solution

    |

  13. Draw a triangle of circumradius 3 centimetres and two of the angles '3...

    Text Solution

    |

  14. In the picture, 'A B' and 'C D' are mutually perpendicular chords of t...

    Text Solution

    |

  15. In the picture, 'A, B, C, D' are points on a circle centred at '0 .' T...

    Text Solution

    |

  16. In the figure '/ ABC=65^circ', what is central angle of arc 'A B C ?' ...

    Text Solution

    |

  17. In the figure 'O' is the centre of the circle. If '/ POR=110^circ', wh...

    Text Solution

    |

  18. In the figuré given below 'O' is the centre of the circle. If '/ A=15^...

    Text Solution

    |

  19. In the figure, O is the centre of the circle. Find '/ ACB'. '(##VPUTTT...

    Text Solution

    |

  20. In the figüre 'A B' is the diameter of the circle. Find the other angl...

    Text Solution

    |