Home
Class 10
MATHS
The line segment joining the points P(3,...

The line segment joining the points P(3,3) and Q(6,-6) is trisected by the points A and B such that A is nearer to p. If A also lies on the line given by 2x + y + k = 0 , find the value of k.

Text Solution

Verified by Experts

The correct Answer is:
A (4,0), k = - 8
Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    KUMAR PRAKASHAN|Exercise Practice Thoroughly|15 Videos

  • COORDINATE GEOMETRY

    KUMAR PRAKASHAN|Exercise Objective Questions (Fill in the blanks)|5 Videos

  • COORDINATE GEOMETRY

    KUMAR PRAKASHAN|Exercise Exercise 7 . 4|8 Videos

  • CONSTRUCTIONS

    KUMAR PRAKASHAN|Exercise OBJECTIVE QUESTIONS|25 Videos

  • INTRODUCTION TO TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Objective Questions|24 Videos

Similar Questions

Explore conceptually related problems

Find the vector joining the points P(2,3,0) and Q(-1,-2,-4) directed from P to Q.

Points P divides the join of the points A(3,-5) and B(-4,8) in the ratio k : 1. If point P lies on the line x + y = 0 , find the value of k.

Find the ratio in which the line segment joining the points (-3, 10) and (6, -8) is divided by (-1, 6) .

Find the ratio in which the line segment joining the points (-3, 10) and (6,-8) is divided by (-1, 6)

Find the ratio in which the line segment joining the points (4, 8, 10) and (6, 10, -8) is divided by the YZ-plane.

Find the mid point of the line segment joining the points (3, 0) and (-1, 4)

If R(x,y) is a point on the line segment joining points P(a,b) and Q(b,a) , then prove that x + y = a + b . (a ne b)

KUMAR PRAKASHAN-COORDINATE GEOMETRY-Test Your Skills
  1. Show that A(-1,0), B(3,1), C(2,2) and D(-2,1) are the vertices of a pa...

    Text Solution

    |

  2. Show that the points (7,10), (-2, 5) and (3,-4) are the vertices of an...

    Text Solution

    |

  3. Prove that the points A(0,1), B(1,4), C(4,3) and D(3,0) are the vertic...

    Text Solution

    |

  4. A(1,7), B(2,4) and C(k,5) are the vertices of a right triangle . Find ...

    Text Solution

    |

  5. Find the ratio in which the point (-3, p) divides the line segment joi...

    Text Solution

    |

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

    Text Solution

    |

  7. If the midpoint of the line segment joining A((x)/(2),(y + 1)/(2)) and...

    Text Solution

    |

  8. Find the third vertex of a triangle , if two of its vertices are at (-...

    Text Solution

    |

  9. If P(9a-2, -b) divides the join of A(3a+1, -3) and B(8a, 5) in the ...

    Text Solution

    |

  10. If the midpoint of the line segment joining (3,4) and (k,7) is (x,y) a...

    Text Solution

    |

  11. If the point C(-1, 2) divides internally the line segment joining the...

    Text Solution

    |

  12. The points A(x(1), y(1)) , B(x(2), y(2)) and C(x(3), y(3)) are the ver...

    Text Solution

    |

  13. The line segment joining the points P(3,3) and Q(6,-6) is trisected by...

    Text Solution

    |

  14. Points P, Q, R and S divide the line segment joining the points A(1,2...

    Text Solution

    |

  15. Find the value of k if the points A(6,10), B(7,k) and C(8,-10) are col...

    Text Solution

    |

  16. The vertices of a triangle are (1,-3), (4,k) and (-9,7) . If its are...

    Text Solution

    |

  17. Find the area of quadrilateral ABCD with vertices A(-4, -2), B(-3, -5)...

    Text Solution

    |

  18. Find the area of the triangle formed by the midpoint of the sides of t...

    Text Solution

    |

  19. If R(x,y) is a point on the line segment joining points P(a,b) and Q(...

    Text Solution

    |

  20. Find the value of k if the points A(k,2-2k) , B(-k + 1, 2k) and C(-4-k...

    Text Solution

    |