Home
Class 10
MATHS
The vertices of a Delta ABC are A (-3,2...

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 respectively show that 2 MN = BC .

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 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.

In Delta ABC , D and E are the mid-points of AB and AC respectively, then the area of Delta ADE is :

The vertices of a Delta ABC are A (4,6), B (1, 5) and C (7,2). A line is drawn to intersect sides AB and AC at D and E respectively, such that (AD)/(AB) = (AE)/(AC) = (1)/(4) . Calculate the area of Delta ADE and compare it with area of Delta ABC

The vertices of AABC are A(4, 6), B(1, 5), and C7, 2). A line is drawn to intersect sides AB and AC at D and E respectively. Show that (AD)/(AB) = (AE)/(AC) = (1)/(4) . Find the area of Delta ADE and compare it with Delta ABC.

If in a triangle AB=a,AC=b and D,E are the mid-points of AB and AC respectively, then DE is equal to

In the adjacent figure, we have AC = XD, C and D are mid points of AB and XY respectively. Show that AB = XY.

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

In the adjoining figure, D and E are the mid-points of AB and AC respectively. If DE = 4 cm , then BC is equal to :

The vertices of Delta ABC are A (1, 2), B (4 ,6), and C (6, 14). AD bisects angle A and meets BC at D. Find the coordinates of D.

ZEN PUBLICATION-CO-ORDINATE GEOMETRY-ZEN ADDITIONAL QUESTIONS - SHORT ANSWER [SA] TYPE QUESTIONS
  1. Find the ratio in which (-4, 6) divides the line segment joining A (6,...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. The vertices of DeltaABC are A (1, 2), B (4 ,6), and C (6, 14). AD bis...

    Text Solution

    |

  8. Show that (1,-1) , (-2,2) , (4,8) and (7,5) are the angular points of ...

    Text Solution

    |

  9. The line segment joining (3,-4) and (1, 2) is trisected by P(a,-2) and...

    Text Solution

    |

  10. The centroid of a triangle ABC is ( 1, 2, 2) If the coordinates of A a...

    Text Solution

    |

  11. The vertices of a Delta ABC are A (4,6), B (1, 5) and C (7,2). A line ...

    Text Solution

    |

  12. Prove that the median of Delta ABC divides it into two triangles of eq...

    Text Solution

    |

  13. Find the value of a for which the area of the triangle formed by A(a, ...

    Text Solution

    |

  14. If a ne b ne0, prove that points (a, a^(2)), (b, b^(2)), and (0, 0) ca...

    Text Solution

    |

  15. Prove that (a, 0), (0, b), and (1, 1) are collinear if (1)/(a) + (1)/(...

    Text Solution

    |

  16. Find the values of a and b if P (9a-2,-b) divides the line segment A (...

    Text Solution

    |

  17. The centre of a cicle is (2a, a -7). Find the values ofa if the circle...

    Text Solution

    |

  18. For what value of k are (k, 2 2), (-k + 1, 2k), and (4-k, 6-2k) collin...

    Text Solution

    |

  19. The vertices of a Delta ABC are A (-3,2) , B (-1,-4) and C (5,2) . If...

    Text Solution

    |

  20. The vertices of a Delta ABC are A (-5,-1), B (3,-5) , C (5,2). Show t...

    Text Solution

    |