Home
Class 10
MATHS
Show That (3, -2) is the 3rd verlex of a...

Show That (3, -2) is the 3rd verlex of a `Delta` ABC where A (2. 3), B (-2,1), and centroid is G (1, 2/3).

Text Solution

Verified by Experts

The correct Answer is:
C is (3, -2).
Promotional Banner

Topper's Solved these Questions

  • CO-ORDINATE GEOMETRY

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS - LONG ANSWER [LA] TYPE QUESTIONS|6 Videos

  • CO-ORDINATE GEOMETRY

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS - HIGHER ORDER THINKING SKILLS [HOTS] QUESTIONS|14 Videos

  • CO-ORDINATE GEOMETRY

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS - VERY SHORT ANSWER [VSA] TYPE QUESTIONS|14 Videos

  • CIRCLES

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( HOT [HIGHER ORDER THINKING SKILLS] - QUESTIONS) (IIT AND IMO)|9 Videos

  • CONSTRUCTIONS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( HOTS [HIGHER ORDER THINKING SKILLS] - QUESTIONS) IIT /OLYMPIAD/ IMO|5 Videos

Similar Questions

Explore conceptually related problems

The centroid of the triangle ABC where A= (2,3), B= (8,10) and C= (5,5) is

Find the area of A ABC where A(-3/2, 3), B{6, -2), and C(-3,4 ).

If the vertices of Delta ABC are A(5,-1) , B (-3,-2), C(-1,8) find the length of median through A.

The vertices of a Delta ABC are A (-3,2) , B (-1,-4) and C (5,2) . If M and N are the mid - points of AB and AC respectively show that 2 MN = BC .

Let a(4, 2), B(6, 5) and C(1, 4) be the vertices of Delta ABC . If A (x_(1), y_(1)), B(x_(2), y_(2)) and C(x_(3), y_(3)) are the vertices of Delta ABC , find the coordinates of the centroid of the triangle.

The area of the triangle whose vertices are A = (1,-1,2), B= (2,1,-1) and C = (3,-1,2) is

Find k if the centroid of the triangle whose vertices are (2,k) , (-5,2) and (3, 4) is (0,-2) .

The vertices of a Delta ABC are A(-3,2) . B (-1,-4) and C(5,2) . If M and N are the mid-points of AB and AC res.ly. Show that 2MN = BC.

Find the area of the triangle with vertices A(1,1,2), B(2,3,5) and C(1,5,5).

The length of altitude through A of the triangle ABC where A-= (-3,0), B -= (4,-1) C-= (5,2) is

ZEN PUBLICATION-CO-ORDINATE GEOMETRY-ZEN ADDITIONAL QUESTIONS - SHORT ANSWER [SA] TYPE QUESTIONS
  1. Prove that the area of the triangle whose vertices are (t,t -2), (t + ...

    Text Solution

    |

  2. Find the area of the quadrilateral ABCD whose vertices are A(1, 1), B(...

    Text Solution

    |

  3. Show That (3, -2) is the 3rd verlex of a Delta ABC where A (2. 3), B (...

    Text Solution

    |

  4. Find the area of a parallelogram ABCD if three of its vertices are A(2...

    Text Solution

    |

  5. Find the co - ordinates of points which divides the line segment joini...

    Text Solution

    |

  6. Find the distance between the points (2,3) and (4,1 ) .

    Text Solution

    |

  7. Find the coordinates of the point which divides the line joining the p...

    Text Solution

    |

  8. The points A(1,1),B(3,2) and C(5,3) cannot be the vertices of the tria...

    Text Solution

    |

  9. If A(-2, -1) B(a, 0) C(4, b) and D(1 , 2) are the vertices of a paral...

    Text Solution

    |

  10. IfA(-5, 7), B (4, 5), C(-1,-6) and D (4,5) are the vertices of a quadr...

    Text Solution

    |

  11. If the points A (k +1, 2k), B (3k, 2k + 3) and C (5k-1, 5k) are collin...

    Text Solution

    |

  12. If the point P (x, y) is equidistant from the points A (a + b, b - a) ...

    Text Solution

    |

  13. A (0,6), P (4,-3), and the origin O form a Delta OPA. DeltaOPA is turn...

    Text Solution

    |

  14. Find a and b if M (9a -2, -b) divides the line segment joining P (3a +...

    Text Solution

    |

  15. Find the ratio in which (-4, 6) divides the line segment joining A (6,...

    Text Solution

    |

  16. Find the points of trisection of the line segment joining the points. ...

    Text Solution

    |

  17. Three vertices of a parallelogram are (a + b ,a - b ) , (2a + b, 2a - ...

    Text Solution

    |

  18. A poin P divides the line segment joining A (3,-5) and B ( - 4, 8) wit...

    Text Solution

    |

  19. If the midpoints of the sides of a triangle are (3, 4) (4, 6), and (5,...

    Text Solution

    |

  20. In what ratio is the join of (-2, 2) and (4,5) cut by the axes of coor...

    Text Solution

    |