Home
Class 10
MATHS
Prove that the points (3, 0), (6, 4) and...

Prove that the points (3, 0), (6, 4) and (-1, 3) are the vertices of a right angled isosceles triangle.

Promotional Banner

Topper's Solved these Questions

  • CONSTRUCTIONS

    RD SHARMA|Exercise All Questions|21 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    RD SHARMA|Exercise All Questions|390 Videos

Similar Questions

Explore conceptually related problems

Show that the points A(3, 0), B(6, 4) and C(-1, 3) are the vertices of an isosceles right triangle.

Prove that the points (3, 4), (8, -6) and (13, 9) are the vertices of a right-angled triangle.

The points (1,-2),(-3,0) and (5,6) are the vertices of aright angled isosceles triangle

Show that the points (3, 4), (8, -6) and (13, 9) are the vertices of a right angled triangle.

Prove that the points (0,0),(5,5) and (-5,5) are the vertices of a right isosceles triangle.

Without using the Pythagoras theorem, show that the points (4," "4) , (3," "5) and (1," "1) are the vertices of a right angled triangle.

Without using Pythagoras's theorem, show that the points A(1, 2), B(4, 5) and C(6, 3) are the vertices of a right-angled triangle.

Show that the points (4,4) , (3,5) and (-1,-1) are the vertices of a right triangle.

Prove that the points (2,-2), (-2, 1) and (5, 2) are the vertices of a right angled triangle. Also find the area of this triangle.

RD SHARMA-COORDINATE GEOMETRY-All Questions
  1. Show that the points A(1,\ -2),\ \ B(3,\ 6),\ \ C(5,\ 10) and D(3,\...

    Text Solution

    |

  2. Show that the points (1,"\ "7),"\ "(4,"\ "2),"\ "(1,"\ "1)"\ "a n d"\ ...

    Text Solution

    |

  3. Prove that the points (3, 0), (6, 4) and (-1, 3) are the vertices of a...

    Text Solution

    |

  4. Prove that (2,\ -2),\ (-2,\ 1) and (5,\ 2) are the vertices of a ri...

    Text Solution

    |

  5. Prove that the points (2a, 4a), (2a, 6a) and (2a+sqrt3a , 5a) are the...

    Text Solution

    |

  6. . An equilateral triangle has two vertices at the points (3, 4) and (2...

    Text Solution

    |

  7. If P(2,-1), Q (3,4), R(-2,3) and S (-3,-2) are four points in a plane,...

    Text Solution

    |

  8. Two vertices of an isosceles triangle are (2,\ 0) and (2,\ 5) . Fin...

    Text Solution

    |

  9. Which point on x-axis is equidistant from (5, 9) and (-4, 6)

    Text Solution

    |

  10. Prove that the points (-2,\ 5),\ (0,\ 1) and (2,\ -3) are collin...

    Text Solution

    |

  11. The coordinates of the point P are (-3,\ 2) . Find the coordinat...

    Text Solution

    |

  12. Which point on y-axis is equidistant from (2,\ 3) and (-4,\ 1) ?

    Text Solution

    |

  13. The three vertices of a parallelogram are (3,\ 4),\ (3,\ 8) and (9,...

    Text Solution

    |

  14. Find the circumcentre of the triangle whose vertices are (-2,\ -3),...

    Text Solution

    |

  15. Find the centre of the circle passing through (5,\ -8),\ (2,\ -9) a...

    Text Solution

    |

  16. Find the value of k , if the point P(0,\ 2) is equidistant fr...

    Text Solution

    |

  17. Find the coordinates of the circumcentre of the triangle whose vert...

    Text Solution

    |

  18. Find a point on the x-axis which is equidistant from the points (7,...

    Text Solution

    |

  19. Show that the points A(5,\ 6),\ \ B(1,\ 5),\ \ C(2,\ 1) and D(6,\ 2...

    Text Solution

    |

  20. Prove that the points A(2,\ 3),\ \ B(-2,\ 2),\ \ C(-1,\ -2), and D(...

    Text Solution

    |