Home
Class 10
MATHS
Without using the distance formula, show...

Without using the distance formula, show that the points A (4, -2), B (-4, 4) and C (10, 6) are the vertices of a right-angled triangle. 

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • EQUATION OF A LINE

    ICSE|Exercise EXERCISE 14(C)|32 Videos

  • EQUATION OF A LINE

    ICSE|Exercise EXERCISE 14(D)|41 Videos

  • EQUATION OF A LINE

    ICSE|Exercise EXERCISE 14(A)|18 Videos

  • CYLINDER, CONE AND SPHERE

    ICSE|Exercise EXERCISE 20 (G)|23 Videos

  • FACTORISATION

    ICSE|Exercise M.C.Q(Competency Based Questions )|15 Videos

Similar Questions

Explore conceptually related problems

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

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

Without using the distance formula, show that the points A (4, 5), B (1, 2), C (4, 3) and D (7, 6) are the vertices of a parallelogram.

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

Prove that the points (3, 0), (6, 4) and (-1, 3) are the vertices of a right angled isosceles 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 A(7, 10), B(-2, 5) and C(3, -4) are the vertices of an isosceles right triangle.

Show that the points A(2,-1,3),B(1,-3,1) and C(0,1,2) are the vertices of an isosceles right angled triangle.

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

ICSE-EQUATION OF A LINE-EXERCISE 14(B)
  1. The line passing through (0, 2) and (-3, -1) is parallel to the line p...

    Text Solution

    |

  2. The line passing through (-4, -2) and (2, -3) is perpendicular to the ...

    Text Solution

    |

  3. Without using the distance formula, show that the points A (4, -2), B ...

    Text Solution

    |

  4. Without using the distance formula, show that the points A (4, 5), B (...

    Text Solution

    |

  5. (-2, 4), (4, 8), (10, 7) and (11,-5) are the vertices of a quadrilate...

    Text Solution

    |

  6. Show that the points (a ,\ b+c),\ \ (b ,\ c+a) and (c ,\ a+b) are coll...

    Text Solution

    |

  7. Find x, if the slope of the line joining (x, 2) and (8, -11) is - 3/4.

    Text Solution

    |

  8. The side AB of an equilateral triangle ABC is parallel to the x-axis. ...

    Text Solution

    |

  9. The side AB of a square ABCD is parallel to the x-axis. Find the slope...

    Text Solution

    |

  10. The side AB of a square ABCD is parallel to the x-axis. Find the slope...

    Text Solution

    |

  11. A (5, 4), B (-3, -2) and C (1, -8) are the vertices of a triangle ABC....

    Text Solution

    |

  12. A (5, 4), B (-3, -2) and C (1, -8) are the vertices of a triangle ABC....

    Text Solution

    |

  13. A (5, 4), B (-3, -2) and C (1, -8) are the vertices of a triangle ABC....

    Text Solution

    |

  14. The slope of the side BC of a rectangle ABCD is 2/3. Find :  the slo...

    Text Solution

    |

  15. The slope of the side BC of a rectangle ABCD is 2/3. Find : the slop...

    Text Solution

    |

  16. Find the slope and the inclination of the line AB if : A = (-3, -2) ...

    Text Solution

    |

  17. Find the slope and the inclination of the line AB if : A = (0, -sqrt...

    Text Solution

    |

  18. Find the slope and the inclination of the line AB if : A = (-1, 2sq...

    Text Solution

    |

  19. The points A(-3, 2), B(2, -1) and C(a, 4) are collinear. Find a.

    Text Solution

    |

  20. The points (K, 3), (2, -4) and (-K+1,-2) are collinear. Find K.

    Text Solution

    |