Home
Class 10
MATHS
Prove that the points (0,\ 0),\ \ (5,...

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CONSTRUCTIONS

    RD SHARMA ENGLISH|Exercise All Questions|32 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    RD SHARMA ENGLISH|Exercise All Questions|391 Videos

Similar Questions

Explore conceptually related problems

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

Prove that the points (-3,\ 0),\ (1,\ -3) and (4,\ 1) are the vertices of an isosceles right-angled triangle. Find the area of this 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.

Show that A (0,0) , B(5,5) and C (-5,5) are vertices of a right angled isosceles triangles.

Show that the points A(7, 10), B(-2, 5) and C(3, -4) are the vertices of an isosceles right triangle.

Show that the points A(7, 10), B(-2, 5) and C(3, -4) are the vertices of an isosceles right triangle.

Show that the points (7, 10), (-2, 5), and (3, -4) are the vertices of an isosceles right triangle.

Show that the points (7, 10), (-2, 5), and (3, -4) are the vertices of an isosceles right triangle.

Show that the points (7, 10), (-2, 5), and (3, -4) are the vertices of an isosceles right triangle.

Prove that the points (4, 3), (6, 4), (5, 6) and (3, 5) are the vertices of a square.

RD SHARMA ENGLISH-COORDINATE GEOMETRY-All Questions
  1. Find the point on x-axis which is equidistant from the points (-2,\...

    Text Solution

    |

  2. Find the value of x such that P Q=Q R where the coordinates of P...

    Text Solution

    |

  3. Prove that the points (0,\ 0),\ \ (5,\ 5) and (-5,\ 5) are the v...

    Text Solution

    |

  4. If the point P(x ,\ y) is equidistant from the points A(5,\ 1) a...

    Text Solution

    |

  5. If Q(0,\ 1) is equidistant from P(5,\ -3) and R(x ,\ 6) , find the ...

    Text Solution

    |

  6. Find the values of y for which the distance between the points P...

    Text Solution

    |

  7. Find the centre of a circle passing through the points (6,\ -6),\ (3,...

    Text Solution

    |

  8. Two opposite vertices of a square are (-1,\ 2) and (3,\ 2) . Find t...

    Text Solution

    |

  9. Name the quadrilateral formed, if any, by the following points, and...

    Text Solution

    |

  10. Find the equation of the perpendicular bisector of the line segment...

    Text Solution

    |

  11. Prove that the points (3,\ 0),\ (4,\ 5),\ (-1,\ 4) and (-2,\ -1) , ...

    Text Solution

    |

  12. Find a point on y-axis which is equidistant from the points (5,\ -2...

    Text Solution

    |

  13. Find a relation between x and y such that the point (x ,\ y) is ...

    Text Solution

    |

  14. If a point A(0,\ 2) is equidistant from the points B(3,\ p) and C(p...

    Text Solution

    |

  15. Show that the points A(7, 10), B(-2, 5) and C(3, -4) are the vertices ...

    Text Solution

    |

  16. If the point P(x ,\ 3) is equidistant from the points A(7,\ -1) ...

    Text Solution

    |

  17. If A(3,\ y) is equidistant from points P(8,\ -3) and Q(7,\ 6) , fin...

    Text Solution

    |

  18. If the point A(0,\ 2) is equidistant from the points B(3,\ p) an...

    Text Solution

    |

  19. If the point P(k-1,\ 2) is equidistant from the points A(3,\ k) ...

    Text Solution

    |

  20. Find the coordinates of the points which divides the line segment j...

    Text Solution

    |