Home
Class 12
MATHS
If P(x,y,z) is a point on the line segme...

If `P(x,y,z)` is a point on the line segment joining Q(2,2,4) and R(3,5,6) such that the projection of `vec(OP)` on the axes are `13/9, 19/5, 26/5` respectively, then P divides QR in the ratio:

Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    CENGAGE ENGLISH|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos
  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE ENGLISH|Exercise ARCHIVES INTEGER TYPE|1 Videos

Similar Questions

Explore conceptually related problems

If P(x,y,z) is a point on the line segment joining Q(2,2,4) and R(3,5,6) such that the projection of vec(OP) on the axes are 13/5, 19/5, 26/5 respectively, then P divides QR in the ratio:

If P(x ,\ 6) is the mid-point of the line segment joining A(6,\ 5) and B(4,\ y) , find y .

If P(2,\ 6) is the mid-point of the line segment joining A(6,\ 5) and B(4,\ y) , find y .

Find the point which divides the line segment joining (-1,2), (4,-5) in the ratio 3 : 2

Find the point which divides the line segment joining (4,5), (-3,4) in the ratio -6 : 5

The point on x-axis which divides the line segment joining (2,3) and (6,-9) in the ratio 1:3 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

P is a point on the line segment joining the points (3,2,-1) and (6,2,-2) . If the x-coordinate of P is 5 , then its y-coordinate is

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

The point (11 ,10) divides the line segment joining the points (5,-2) and (9,6) in the ratio:

CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions
  1. Show that the plane 2x-2y+z+12=0 touches the sphere x^2+y^2+z^2-2x-4y+...

    Text Solution

    |

  2. If O is the origin, OP = 3, with direction ratios -1, 2 and -2, then f...

    Text Solution

    |

  3. If P(x,y,z) is a point on the line segment joining Q(2,2,4) and R(3,5,...

    Text Solution

    |

  4. If vecr is a vector of magnitude 21 and has direction ratios 2, -3 an...

    Text Solution

    |

  5. Find the distance of the point P(a ,b ,c) from the x-axis.

    Text Solution

    |

  6. A line makes angles alpha,betaa n dgamma with the coordinate axes. If ...

    Text Solution

    |

  7. If a line makes angles alpha,betaa n dgamma with threew-dimensional ...

    Text Solution

    |

  8. Find the distance between the parallel planes x+2y-2z+1=0a n d2x+4y...

    Text Solution

    |

  9. A ray of light passing through the point A(1,2,3) , strikews the pl...

    Text Solution

    |

  10. The plane a x+b y=0 is rotated through an angle alpha about its line...

    Text Solution

    |

  11. Find the equation of a plane containing the line of intersection of...

    Text Solution

    |

  12. Find the locus of a point, the sum of squares of whose distance from t...

    Text Solution

    |

  13. Find the length and the foot of the perpendicular from the point (7...

    Text Solution

    |

  14. Find the angle between the lines vec r= dot( hat i+2 hat j- hat k)+la...

    Text Solution

    |

  15. Find the equation of the projection of the line (x-1)/(2)=(y+1)/(-1)=(...

    Text Solution

    |

  16. Find the equation the plane which contain the line of intersection ...

    Text Solution

    |

  17. Find the vector equation of the line passing through (1, 2, 3 ) and ...

    Text Solution

    |

  18. Find the distance of the point P(3,8,2) from the line 1/2(x-1)=1/4(...

    Text Solution

    |

  19. Find the distance of the point (1,0,-3) from the plane x-y-z=9 meas...

    Text Solution

    |

  20. Show that a x+b y+r=0,b y+c z+p=0a n dc z+a x+q=0 are perpendicular to...

    Text Solution

    |