Home
Class 11
MATHS
Find the ratio in which the sphere x^2+y...

Find the ratio in which the sphere `x^2+y^2+z^2=504` divides the line joining the points (12,-4,8) and (27,-9,18).

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    RD SHARMA ENGLISH|Exercise All Questions|76 Videos
  • LIMITS

    RD SHARMA ENGLISH|Exercise All Questions|302 Videos

Similar Questions

Explore conceptually related problems

Find the ratio, in which the plane x + y + z =1/5 divides the line joining the points (3, 1, 4) and (4, 2,5) .

Find the ratio in which the line 2x+ 3y -5=0 divides the line segment joining the points (8,-9) and (2,1) Also. Find the co-ordinates of the point of divisions

Find the ratio in which the plane 2x-3y+z=8 divides the line segment joining the points A(3, -2,1) and B(1, 4, -3). Also find the point of intersection of the line and the plane.

Find the ratio in which the line 2x+3y-5=0 divides the line segment joining the points (8,-9) and (2,1). Also find the coordinates of the points of division.

Find the ratio in which the point P(x ,\ 2) divides the line segment joining the points A(12 ,\ 5) and B(4,\ -3) . Also, find the value of x

Find the ratio in which the point (1/2,6) divides the line segment joining the points (3,5) and (-7,9).

Find the ratio in which the points Q(-1,-8) divide the line segment joining the points A(1,-2) and B(4,7).

Find the ratio in which the point P(x,2) divides the line segment joining the points A(12,5) and B(4, -3) . Also find the value of x .

Find the ratio in which the y-axis divides the line segment joining the points (5,-6) and (-1,-4) .

Find the ratio in which the y-z plane divides the line segment formed by joining the point (-2,4,7) and (3,-5,8).

RD SHARMA ENGLISH-INTRODUCTIONS TO 3-D COORDINATE GEOMETRY-All Questions
  1. If the points A(3,2,-4),\ B(9,8,-10)a n d\ C(5,4,-6) are collinear, fi...

    Text Solution

    |

  2. The id points of the sides of a triangle ABC are given by (-2,3,5),(4,...

    Text Solution

    |

  3. Find the ratio in which the sphere x^2+y^2+z^2=504 divides the line jo...

    Text Solution

    |

  4. Find the centroid of a triangle, mid points of whose sides are (1,2...

    Text Solution

    |

  5. The centroid of a triangle ABC is at the point (1,1,1). If the coor...

    Text Solution

    |

  6. Find the coordinates of the points which trisect the line segment jo...

    Text Solution

    |

  7. Using section formula, show that the points A(2,-3,4),\ B(-1,2,1)\ a n...

    Text Solution

    |

  8. Given that P(3,2,-4),\ Q(5,4,-6)a n d\ R(9,8,-10) are collinear. Find ...

    Text Solution

    |

  9. Find the ratio in which the segment joining the points (4,8,10) and ...

    Text Solution

    |

  10. Write the distance of the point P(2,3,5) from the xy-plane.

    Text Solution

    |

  11. Write the distance of the point P(3,4,5) from z-axis.

    Text Solution

    |

  12. If the distance between the points P(a ,2,1)a n d\ Q(1,-1,1) is 5 unit...

    Text Solution

    |

  13. The coordinates of the mid points of sides AB, BC and CA of A B C are...

    Text Solution

    |

  14. Write the coordinates of the foot of the perpendicular from the point ...

    Text Solution

    |

  15. Write the length of the perpendicular drawn from the point P(3,5, 12) ...

    Text Solution

    |

  16. Write the coordinates of third vertex of a triangle having centroid at...

    Text Solution

    |

  17. What is the locus of a point (x , y , z) for which y=0, z=0?

    Text Solution

    |

  18. Find the ratio in which the line segment joining the points (2,4,5) an...

    Text Solution

    |

  19. Find the point on y-axis which is at a distance of sqrt(10) units from...

    Text Solution

    |

  20. Find the point on x-axis which is equidistant from the points A(3,2,2)...

    Text Solution

    |