Home
Class 10
MATHS
P and Q trisect the line segment joining...

P and Q trisect the line segment joining the points (2,1) and (5,-8) . If the point P lies on 2x-y+k=0, then find the value of k.

Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (Multiple choice questions)|14 Videos

  • ALGEBRA

    FULL MARKS|Exercise Additional Questions Solved|72 Videos

  • DEPARTMENTAL MODEL PAPER

    FULL MARKS|Exercise PART-IV|3 Videos

Similar Questions

Explore conceptually related problems

If the mid point of the line segment joining the point A(3,4) and B(k,6) is P(x,y) and x+y-10=0, then find the value of k.

Find the mid points of the line segment joining the points .

The line segment joining the points (1, 2) and (2,1) is divided by the line 3x+4y=7 in the ratio

A point R with x-coordinate 4 lies on the line segment joining the points P(2,-3,4) and Q(8,0,10) . Find the coordinates of the point R.

If the line 2x + y = k passes through the point which divides the line segment joining the points (1, 1) and (2, 4) in the ratio 3 : 2, then k equals

i. Find the coordinates of the point which trisect the line segment joining the points P(4,0,1) and Q(2,4,0) . (ii) Find the locus of the set of points P such that the distance from A(2,3,4) is equal to twice the distance from B(-2,1,2) .

The line joining the points A(2,1),a n dB(3,2) is perpendicular to the line (a^2)x+(a+2)y+2=0. Find the values of adot

FULL MARKS-COORDINATE GEOMETRY -ADDITIONAL QUESTIONS SOLVED (Answer the following questions)
  1. If the points (3,-4) (1,6) and (-2,3) are the vertices of a triangle ,...

    Text Solution

    |

  2. If the area of the triangle formed by the points (1,2) (2,3) and a,4) ...

    Text Solution

    |

  3. If the points A(2,5) ,B(4,6) and C(8,a) are collinear find the value o...

    Text Solution

    |

  4. If (x, y) is any point on the line joining the points A(a, 0) and B (0...

    Text Solution

    |

  5. A straight line passes through (1,2) and has the equation y-2x-k =0 . ...

    Text Solution

    |

  6. If a line passes through the mid point of AB where A is (3,0) and B is...

    Text Solution

    |

  7. Find the equation of the line through (3,2) and perpendicular to the l...

    Text Solution

    |

  8. P and Q trisect the line segment joining the points (2,1) and (5,-8) ....

    Text Solution

    |

  9. Find the equation of the line passing through (4,5) and making equal i...

    Text Solution

    |

  10. Find the equation of the line passing through (2,-1) and whose interce...

    Text Solution

    |

  11. The straight line cuts the coordinate axes at A and B. if the mid poin...

    Text Solution

    |

  12. If the coordinates of two points A and B are (3,4) and (5,-2) respecti...

    Text Solution

    |

  13. The four vertices of a quadrilateral are (1,2) (-5,6) (7,-4) and (k,-2...

    Text Solution

    |

  14. Find the area of a triangle whose three sides are having the equations...

    Text Solution

    |

  15. Verify the Median of a triangle divides into two triangles of the equa...

    Text Solution

    |

  16. Find the area of the DeltaABC with A(1,-4) and the mid points of sides...

    Text Solution

    |

  17. Find the equation of the straight lines passing through (-3,10) whose ...

    Text Solution

    |

  18. Find the equation of the straight line passing through the point of i...

    Text Solution

    |

  19. Find the equation of the line passing through the points of intersecti...

    Text Solution

    |

  20. Find the equation of the line through the point of intersection of the...

    Text Solution

    |