Home
Class 12
MATHS
The projection of the line (x+1)/(-1)=(y...

The projection of the line `(x+1)/(-1)=(y)/(2)=(z-1)/(3)` on the plane `x-2y+z=6` is the line of intersection of this plane with the plane

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

The image of the line (x-2)/(2)=(y-3)/(-3)=(z-4)/(1) in the plane x+y+z=6 can be

The line (x)/(1) = y/2=z/3 and the plane x-2y+ z=0:

The line (x-3)/1=(y-4)/2=(z-5)/2 cuts the plane x+y+z=17 at

Find the image of the line (x-1)/3=(y-2)/4=(z-3)/5 on the plane x-2y+z+2=0 .

Find the equation of the projection of the line (x-1)/2=(y+1)/(-1)=(z-3)/4 on the plane x+2y+z=9.

Find the angle between the lines (x+1)/(2)=(y)/(3)=(z-3)/(6) and the planes 3x+y+z=7 .

Find the points of intersection of the line (x-2)/(-3)=(y-1)/2=(z-3)/2 and the plane 2x+y-z=3 .

Find the angle between the line (x-1)/1=(y-2)/(-1)=(z+1)/1 and the plane 2x+y-z=4.

Find the equations of the projection of the line (x+1)/- 2=(y-1)/3=(z+2)/4 on the plane 2x+y+4z=1

Image of line (x - 2)/3 = (y - 1)/1 = (z - 1)/(-4) in the plane x + y + z = 7 is

CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions
  1. The vector equation of the plane passing through the origin and the ...

    Text Solution

    |

  2. The lines vec r= vec a+lambda( vec bxx vec c)a n d vec r= vec b+mu( v...

    Text Solution

    |

  3. The projection of the line (x+1)/(-1)=(y)/(2)=(z-1)/(3) on the plane x...

    Text Solution

    |

  4. The direction cosines of a line satisfy the relations lamda(l+m)=nandm...

    Text Solution

    |

  5. The intercepts made on the axes by the plane which bisects the line jo...

    Text Solution

    |

  6. The pair of lines whose direction cosines are given by the equation...

    Text Solution

    |

  7. If the distance of the point P(1,-2,1) from the plane x+2y-2z=alpha,...

    Text Solution

    |

  8. A line with positive direction cosines passes through the point P(2, –...

    Text Solution

    |

  9. The value of k such that (x-4)/1=(y-2)/1=(z-k)/2 lies in the plane 2x-...

    Text Solution

    |

  10. The equation of the plane passing through lines (x-4)/1=(y-3)/1=(z-...

    Text Solution

    |

  11. The line through hat i+3 hat j+2 hat k and | to the line vec r=( hat...

    Text Solution

    |

  12. The equation of the plane through the line of intersection of the plan...

    Text Solution

    |

  13. The three planes 4y+6z=5,2x+3y+5z=5 and 6x+5y+9z=10 (a) meet in a poi...

    Text Solution

    |

  14. Given vec alpha=3hati+hatj+2hatk and vec beta=hati-2hatj-4hatk are the...

    Text Solution

    |

  15. Find the following are equations for the plane passing through the p...

    Text Solution

    |

  16. The shortest distance between the lines (x-3)/(3)=(y-8)/(-1)=(z-3)/(1)...

    Text Solution

    |

  17. L1a n dL2 and two lines whose vector equations are L1: vec r=lambda((c...

    Text Solution

    |

  18. Value of lambda such that the line (x-1)/2=(y-1)/3=(z-1)/lambda is | t...

    Text Solution

    |

  19. Equation of the plane passing through the points (2,2,1)a n d(9,3,6)...

    Text Solution

    |

  20. The equation of a plane which passes through the point of intersection...

    Text Solution

    |