Home
Class 10
MATHS
If (a,b) is the mid - point of the line ...

If (a,b) is the mid - point of the line segment joining the points A (10,-6), B(k,4) and a-2b =18, then find the value of k and the distance AB.

Text Solution

Verified by Experts

The correct Answer is:
k=22 , `2sqrt(61)`
Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE ( Long Answer Questions )|18 Videos

  • COORDINATE GEOMETRY

    VK GLOBAL PUBLICATION|Exercise SELF-ASSESSMENT TEST|10 Videos

  • COORDINATE GEOMETRY

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE (Very Short Answer Questions)|12 Videos

  • CIRCLES

    VK GLOBAL PUBLICATION|Exercise SELF - ASSESSMENT TEST|11 Videos

  • HEIGHT AND DISTANCE

    VK GLOBAL PUBLICATION|Exercise SELF ASSESSMENT TEST|11 Videos

Similar Questions

Explore conceptually related problems

If (a, b) is the mid-point of the line segment joining the points A(10, -6) and B(k, 4) and a-2b = 18, the value of k is:

Find the mid-point of the line segment joining the points (2,-6) and (6,-4) .

(a, 2b) is the mid-point of the line segment joining the points (10, -6) and (k, 4). If a-2b=7 , then what is the value of k ?

The mid-point of the line segment joining the points (- 2, 4) and (6, 10) is

Find the mid point of the line segment joining the points (-2, 7) and (4, -3) .

The mid - point of the line segment joining the points A(a,0) and B(0,b) is ………. .

If P ((a)/(3),4) is the mid - point of the line segment joining the points Q(-6,5) and R(-2,3), then the value of a is

Find the mid-point of the segment joining the points (-2,4) and (6,10)

VK GLOBAL PUBLICATION-COORDINATE GEOMETRY -PROFICIENCY EXERCISE ( Short Answer Questions-I )
  1. If D (-(1)/(2),(5)/(2)), E (7,3) and F ((7)/(2),(7)/(2)) are the mid...

    Text Solution

    |

  2. Find the area of the triangle ABC with A(1,-4) and mid-points of sides...

    Text Solution

    |

  3. If (a,b) is the mid - point of the line segment joining the points A (...

    Text Solution

    |

  4. If (a,b) is the mid - point of the line segment joining the points A (...

    Text Solution

    |

  5. Find the ratio in which the line 2x+3y-5=0 divides the line segment jo...

    Text Solution

    |

  6. If the centre of a circle is (2a,a-7) ,then Find the value of a , if t...

    Text Solution

    |

  7. Find the coordinates of points which divide the line segment joining A...

    Text Solution

    |

  8. Find the value of k for which the points A(k+1, 2k), B(3k, 2k +3) and ...

    Text Solution

    |

  9. Find the coordinates of the point R on the line segment joining the po...

    Text Solution

    |

  10. Find the third vertex of a triangle, if two of its vertices are at ...

    Text Solution

    |

  11. Find the area of the quadrilateral whose vertices taken in order are (...

    Text Solution

    |

  12. The area of a triangle is 5 square unit. Two of its vertices are (2, 1...

    Text Solution

    |

  13. If the points A (2,9), B (a,5) and C (5,5) are the vertices of a tria...

    Text Solution

    |

  14. The vertices of a triangle are (a, b - c), (b, c - a) and (c, a - b). ...

    Text Solution

    |

  15. The base PQ of two equilateral triangles PQR and PQR with side 2a lies...

    Text Solution

    |

  16. If the points (a, b), (a', b') and (a-a', b-b') are collinear, show th...

    Text Solution

    |

  17. Show that the points (a^(2) , 0), (0, b^(2) ) and (1, 1) are collinear...

    Text Solution

    |

  18. The coordinates of A ,\ B ,\ C are (6,\ 3),\ (-3,\ 5) and (4,\ -2) ...

    Text Solution

    |

  19. Show that (1, -1) is the centre of the circle circumscribing the trian...

    Text Solution

    |

  20. If the point A (-2, 1 ), B (a, b) and C (4, -1) are collinear and a-b ...

    Text Solution

    |