Home
Class 11
MATHS
Show that (4,2,4) , (10, 2, -2) and (2, ...

Show that `(4,2,4) , (10, 2, -2) and (2, 0, -4)` are the vertices of an equilateral triangle.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • POINTS AND THEIR COORDINATES

    ICSE|Exercise EXERCISE 26 (B)|14 Videos
  • POINTS AND THEIR COORDINATES

    ICSE|Exercise CHEPTER TEST |7 Videos
  • POINTS AND THEIR COORDINATES

    ICSE|Exercise CHEPTER TEST |7 Videos
  • PERMUTATIONS AND COMBINATIONS

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS |32 Videos
  • PRINCIPLE OF MATHEMATICAL INDUCTION

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS |11 Videos

Similar Questions

Explore conceptually related problems

Prove that the points (2a, 4a), (2a, 6a) and (2a+sqrt3a , 5a) are the vertices of an equilaterall triangle whose side is 2a

Show that the points (-4,-4,-1),(0,2,3) and (4,6,-3) are the vertices of an isosceles 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.

If the point (0,0),(2,2sqrt(3)), and (p,q) are the vertices of an equilateral triangle, then (p ,q) is

Show that A(6,4),B(5,-2) and C(7,-2) are the vertices of an isosceles triangle. Also, find the length of the median through A.

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

ICSE-POINTS AND THEIR COORDINATES -EXERCISE 26 (A)
  1. Find the distance from the origin to each of the point: (2,2,3)

    Text Solution

    |

  2. Find the distance from the origin to each of the point: (4, -1, 2)

    Text Solution

    |

  3. Find the distance from the origin to each of the point: (0, 4,-4)

    Text Solution

    |

  4. Find the distance from the origin to each of the point: (-4,-3,-2)

    Text Solution

    |

  5. Find the distance between each of pair of point: (2,5,3 and (-3,2,1)...

    Text Solution

    |

  6. Find the distance between each of pair of point: (0,3,0) and (6,0,2)

    Text Solution

    |

  7. Find the distance between each of pair of point: (-4,-2,0) and (3,3,...

    Text Solution

    |

  8. Show that the triangle with vetices (6,10,10) , (1,0, -5), (6, -10, 0)...

    Text Solution

    |

  9. Show that the triangle with vertices A (3,5,-4), B (-1, 1,2) C (-5,-5,...

    Text Solution

    |

  10. Show that (4,2,4) , (10, 2, -2) and (2, 0, -4) are the vertices of an ...

    Text Solution

    |

  11. Show that the point A (1,-1,3), B ( 2,-4,5) and C ( 5,-13,11) are col...

    Text Solution

    |

  12. Derive the equation of the locur of a point equidistant from the point...

    Text Solution

    |

  13. Derive the equation of the locus of a point twice as far from (-2,3,4)...

    Text Solution

    |

  14. Find the equation of the locus of a point whose distance from the y-ax...

    Text Solution

    |

  15. Find the equation of the locus of point whose distance from the xy-pla...

    Text Solution

    |

  16. A point moves so that the differerence of the squares of its distance ...

    Text Solution

    |

  17. Find the equation of the locus of a point whose distanace from the z-a...

    Text Solution

    |