Home
Class 10
MATHS
Two vertices of a Delta ABC are given by...

Two vertices of a `Delta ABC` are given by A(6, 4) and B(-2, 2), and its centroid is G(3, 4). Find the coordinates of the third vertex C of `Delta ABC`.

Text Solution

AI Generated Solution

To find the coordinates of the third vertex C of triangle ABC, given the vertices A(6, 4), B(-2, 2), and the centroid G(3, 4), we can use the formula for the centroid of a triangle. The centroid G of a triangle with vertices A(x1, y1), B(x2, y2), and C(x3, y3) is given by: \[ G\left(\frac{x_1 + x_2 + x_3}{3}, \frac{y_1 + y_2 + y_3}{3}\right) \] ### Step 1: Set Up the Equations Given: ...
Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    RS AGGARWAL|Exercise Exercise 6A|34 Videos
  • COORDINATE GEOMETRY

    RS AGGARWAL|Exercise Exercise 6B|38 Videos
  • CONSTRUCTIONS

    RS AGGARWAL|Exercise Test Yourself|10 Videos
  • HEIGHTS AND DISTANCES

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|25 Videos

Similar Questions

Explore conceptually related problems

Two vertices of a DeltaABC are given by A(6,4)and B(-2,2) and its centroid is G (3,4). Find the co-ordinates of the vertex C of DeltaABC.

Two vertices of Delta ABC are A(-1, 4) and B(5, 2) and its centroid is G(0, -3). Then, the coordinates of C are

Two vertices of a triangle are (3,-1) and (-2,3) and its orthocentre is at the origin..Find the coordinates of eth third vertex.

Two vertices of triangle ABC are A(2,-4,3) and B(3,-1,-2) and its centroid is (1,0,3). Find its third vertex C.

The co-ordinates of two vertices of Delta ABC are A(3,2,-4) and B(-2,3,-1). If its centroid is (3,1,0), then find the co-ordinates of vertex C.

Two vertives of a triangle are (4,-6,3) and (2,-2,1) and its centroid is (8/3,-1,2) . Find the third vertex.

If the two vertices of a triangle are (7,2) and (1,6) and its centroid is (4,6) then the coordinate of the third vertex are (a,b).the value of (a+b), is

Two vertices of a triangle are (1, 4) and (5, 2) . If its centroid is (0, -3) , find the third vertex.

Two vertices of a triangle are (1,2),(3,5) and its centroid is at the origin.Find the coordinates of the third vertex.

Two vertices of a triangle are (-1, 4) and (5, 2). If its centroid is (0, -3), find the third vertex.

RS AGGARWAL-COORDINATE GEOMETRY-Multiple Choice Questions (Mcq)
  1. Two vertices of a Delta ABC are given by A(6, 4) and B(-2, 2), and its...

    Text Solution

    |

  2. The distance of the point P(-6, 8) from the origin is

    Text Solution

    |

  3. The distance of the point (-3, 4) from x -axis is

    Text Solution

    |

  4. The point on x-axis which is equidistant from points A (-1, 0) and B(5...

    Text Solution

    |

  5. If R(5, 6) is the midpoint of the line segment AB joining the points A...

    Text Solution

    |

  6. If the point C(k, 4) divides the join of A(2, 6) and B(5, 1) in the ra...

    Text Solution

    |

  7. The perimeter of the triangle with vertices (0, 4), (0, 0) and (3, 0) ...

    Text Solution

    |

  8. If A(1, 3), B(-1, 2), C(2, 5) and D(x, 4) are the vertices of a parall...

    Text Solution

    |

  9. If the points A(x, 2), B(-3, -4) and C(7, -5) are collinear then the v...

    Text Solution

    |

  10. The area of a triangle with vertices A(5, 0), B(8, 0) and C(8, 4) in s...

    Text Solution

    |

  11. The area of Delta ABC with vertices A(a, 0), O(0, 0) and B(0, b) in sq...

    Text Solution

    |

  12. If P((a)/(2), 4) is the midpoint of the line segment joining the poin...

    Text Solution

    |

  13. ABCD is a rectangle whose three vertices are B(4, 0), C(4, 3) and D(0,...

    Text Solution

    |

  14. The coordinates of the point P dividing the line segment joining the p...

    Text Solution

    |

  15. If the coordinates of one end of a diameter of a circle are (2, 3) an...

    Text Solution

    |

  16. In the given figure P(5, -3) and Q(3, y) are the points of trisection ...

    Text Solution

    |

  17. The midpoint of segment AB is P(0, 4). If the coordinates of B are (-2...

    Text Solution

    |

  18. The point P which divides the line segment joining the points A(2, 5) ...

    Text Solution

    |

  19. If A(-6, 7) and B(-1, -5) are two given points then the distance 2AB i...

    Text Solution

    |

  20. What point on the X-axis is equidistant from (7, 6) and (-3, 4) ?

    Text Solution

    |

  21. The distance of P(3, 4) from the x-axis is

    Text Solution

    |