Home
Class 10
MATHS
If P (9a-2,-b) divides line segment join...

If P (9a-2,-b) divides line segment joining A (3a+1,-3) and B(8a,5) in the ratio `3 : 1`, then find the values of a and b.

Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    EDUCART PUBLICATION|Exercise LONG ANSWER (LA) TYPE QUESTIONS (4 MARKS) |7 Videos

  • COORDINATE GEOMETRY

    EDUCART PUBLICATION|Exercise SHORT ANSWER (SA-I) TYPE QUESTIONS 2 MARKS |13 Videos

  • CONSTRUCTIONS

    EDUCART PUBLICATION|Exercise LONG ANSWER Type Questions|6 Videos

  • INTRODUCTION TO TRIGNOMETRY AND ITS APPLICATIONS

    EDUCART PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS |42 Videos

Similar Questions

Explore conceptually related problems

x-axis divides the line segment joining A(2, -3) and B(5,6) in the ratio :

If the point P(6,2) divides the line segment joining A(6,5) and B(4, y) in the ratio 3:1, then find the value of y.

If P(9a-2,-b) divides the points A(3a+1,-3) and B(8a,5) in the ratio 3:1 then find a and b

If the point P (-1,2) divides the line segment joining A (2,5) and B in the ratio 3 : 4 , find the co-ordinate of B .

The point P(x,y) divide the line segment joining A(2,2) and B(3,4) in the ratio 1.2 then x+y is

If point P (1,1) divides line segment joining the points A and B (-1,-1) in the ratio 5:2 , then co-ordinates of A are

If the point C(3,7) divides internally the line segment joining the points A(4,8) and B(a,b) in the ratio 1:3 , find the value of |a^(2)-b^(2)| .

If the point C (-1, 2) divides internally the line segment joining A (2, 5) and B in the ration 3:4 . Find the coordinates of B .

The mid-point of the line segment joining A(2a, 4) and B(-2, 3b) is (1, 2a +1). Find the value of a and b.

EDUCART PUBLICATION-COORDINATE GEOMETRY -SHORT ANSWER (SA-II) TYPE QUESTIONS 3 MARKS
  1. In what ratio does the point P(-4, y) divide the line segment joining ...

    Text Solution

    |

  2. Find the coordinates of the point of intersection of x - 3y = 0 and th...

    Text Solution

    |

  3. Find the coordinates of the point Q on the X- axis which lies on the ...

    Text Solution

    |

  4. Find the point on y-axis which is equidistant from the points (5, - 2)...

    Text Solution

    |

  5. The line joining the points (2,\ 1) and (5,\ -8) is trisected at...

    Text Solution

    |

  6. If the point A (2, -4) is equidistant from P (3, 8) and Q (-10, y), fi...

    Text Solution

    |

  7. If A(-2,-1),B(p,0),C(4,q) and D(1,2) are the vertices of a parallelogr...

    Text Solution

    |

  8. Find the coordinates of the point of bisection of the line segment joi...

    Text Solution

    |

  9. If P (9a-2,-b) divides line segment joining A (3a+1,-3) and B(8a,5) in...

    Text Solution

    |

  10. In what ratio does the point (24/11,y) divide the line segment joining...

    Text Solution

    |

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

    Text Solution

    |

  12. Find the coordinates of a point on the x-axis which is equidistant fro...

    Text Solution

    |

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

    Text Solution

    |

  14. Write the coordinates of a point P on x-axis which is equidistant from...

    Text Solution

    |

  15. If the coordinates of points A and B are (-2, -2) and (2, -4) respecti...

    Text Solution

    |

  16. The point R divides the line segment AB, where A (- 4, 0) and B (0, 6)...

    Text Solution

    |

  17. Find the ratio in which the line segment joining the points (1, -3) an...

    Text Solution

    |

  18. Find the ratio in which P(4, m) divides the line segment joining the p...

    Text Solution

    |

  19. Prove that the points (3, 0), (6, 4) and (-1, 3) are the vertices of a...

    Text Solution

    |

  20. The line joining the points (2,\ 1) and (5,\ -8) is trisected at...

    Text Solution

    |