Home
Class 10
MATHS
The coordinates of the vertices of a tri...

The coordinates of the vertices of a triangle are '(1,2),(2,3),(3,1)'. Find the coordinates of the centre of its circumcircle and the circumradius.

Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    V PUBLICATION|Exercise QUESTION BANK|89 Videos
  • GEOMETRY AND ALGEBRA

    V PUBLICATION|Exercise QUESTION BANK|61 Videos

Similar Questions

Explore conceptually related problems

The coordinates of the vertices of a triangle are(-1,5),(3,7),(1,1).Find the coordinates of its centroid.

The vertices of a triangle area (3,0),(3,3) and (0,3). Then the coordinates of the circumcentre are

The coordinates of the vertices of a triangle are 'A(1,1), B(5,5) , C(2,5)' a), Write the coordinates of the midpoint D of AB. b) What is the length of CD? c) What are the coordinates of the point dividing the line 'CD' in the ratio '2: 1 ?'

The vertices of triangleABC are A(2,1), B(-3,5) and C(4,5). Write the coordinates of the midpoint of AC.

The coordinates of the vertices of a quadrilateral taken in order are '(2,1)', '(5,3),(8,7),(4,9)'. i) Find the coordinates of the midpoints of all four sides. ii) Prove that the quadrilateral got by joining these mid points is a parallelogram.

The coordinates of the vertices of a triangle are (3,5), (9,13), (10,6), Prove that this triangle is isosceles. Calculate its area.

The mid -points of the sides of a triangle are (1,5,-1),(0,4,-2) and (2,3,4) . Find its vertices.

The coordinates of the verticesofa quadrilateral, taken in order, are (2,1), (5,3), (8,7), (4,9).Find the coordinates of the mid points of all four sides.

The coordinates of two opposite vertices of a parallelogram are '(4,5)' and '(1,3)'. What are the coordinates of the polnt of intersection of its diagonals?

Three vertices of a parallelogram ABCD are A(3,-1,2), B(1,2,-4) and C(-1,1,2) . Find the coordinates of the fourth Vertex

V PUBLICATION-COORDINATES-QUESTION BANK
  1. A circle of radius 10 is drawn with the origin as centre, i) Check wh...

    Text Solution

    |

  2. Find the coordinates of the points where a circle of radius 'sqrt2', c...

    Text Solution

    |

  3. The coordinates of the vertices of a triangle are '(1,2),(2,3),(3,1)'....

    Text Solution

    |

  4. Prove that the triangle with vertexes '(0,0),(10,0)' and '(5,5 sqrt3)'...

    Text Solution

    |

  5. Prove that the points. '(3,-2),(7,6)', '(-1,2),(-5,-6)' form the verti...

    Text Solution

    |

  6. Prove that '(9,3),(7,-1),(1,-1)' are the points on the circle with cen...

    Text Solution

    |

  7. (2,5)' is the centre of a circle with radius '13 cm'. Classify the fol...

    Text Solution

    |

  8. Find the area of the rhombus ABCD with coordinates of its vertices are...

    Text Solution

    |

  9. Find the coordinates of the points of the circle of radius 5 and centr...

    Text Solution

    |

  10. If a circle is drawn with origin as centre ańd 5 radius, how many poin...

    Text Solution

    |

  11. Prove that the quadrilateral with vertices '(1,1),(5,1),(7,8),(3,8)' i...

    Text Solution

    |

  12. Find the area of the rhombus ABCD with coordinates of its vertices are...

    Text Solution

    |

  13. In the figure C is the centre of the circle with radius 5 units. Circl...

    Text Solution

    |

  14. In the figure semicircle with diameter AB passes through the point 'P'...

    Text Solution

    |

  15. A(1,2), B(6,4)' and 'C(8,9)' are the vertices of the parallelogram 'AB...

    Text Solution

    |

  16. A circle with centre as origin passes through the point '(6,0)'. a) Fi...

    Text Solution

    |

  17. a) Draw coordinate axes and mark the point '(2,4)'. Draw the circle of...

    Text Solution

    |

  18. A(5,3)' is a point on a line parallel to 'x' axis. a) Write the coord...

    Text Solution

    |

  19. In the figure, 'OABC' is a rectangle. 'A(12,0), C(0,5)' are two of it...

    Text Solution

    |

  20. Coordinates of the end. points of a' diameter of a circle are '(1,3)' ...

    Text Solution

    |