Home
Class 12
MATHS
Find the distance of the point (-1,-5...

Find the distance of the point `(-1,-5,-10)` from the point of intersection of the line `(x-2)/3=(y+1)/4=(z-2)/(12)` and plane `x-y+z=5.`

Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    CENGAGE PUBLICATION|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise ARCHIVES INTEGER TYPE|1 Videos

Similar Questions

Explore conceptually related problems

The distance of the point (1, 0,2) from the point of intersection of the line (x -2)/(3) = (y + 1)/(4) = (z -2)/(12) and the plane x -y + z = 16 is

The distance between the point (-1, -5, -10) and the point of intersection of the line (x-2)/(3)=(y+1)/(4)=(z-2)/(12) with the plane x-y+z=5 is -

Find the distance of the point (1,0,-3) from the plane x-y-z=9 measured parallel to the line (x-2)/2=(y+2)/2=(z-6)/(-6)dot

Find the distance of the point (0,-3,-2) from the plane x+2y-z =1 measured parallel to the line (x+1)/2=(y+1)/2=z/3

The point in which the line (x-2)/(3)=(y+1)/(4)=(z-2)/(12) meets the plane x-2y+z=20 is __

Find the distance of the point (-1, 1) from the line 12 (x + 6) = 5 (y - 2) .

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 .

The distance of the point (1, -5,9) from the plane x -y + z =5 measured along the line x = y = z is

Find the distance of the point (3. 5) from the line 2x + 3y = 14measured parallel to th line x - 2y= 1,

Find the distance of the point (1,-2,3) from the plane x-y+z=5 measured along a line parallel to (x)/(2)=(y)/(3)=(z)/(-6) .

CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. Find the angle between the planes 2x+y-2z+3=0a n d 6x−2y+3z=5

    Text Solution

    |

  2. Find the equation of the plane passing through (3,4,-1), which is p...

    Text Solution

    |

  3. Find the distance of the point (-1,-5,-10) from the point of int...

    Text Solution

    |

  4. Find the equation of the plane passing through the point (-1,3,2) an...

    Text Solution

    |

  5. Find the angle between the line (x-1)/3=(y-1)/2=(z-1)/4 and the pla...

    Text Solution

    |

  6. Find the distance between the line (x+1)/(-3)=(y-3)/2=(z-2)/1 and t...

    Text Solution

    |

  7. The extremities of a diameter of a sphere lie on the positive y- an...

    Text Solution

    |

  8. A plane passes through a fixed point (a ,b ,c)dot Show that the loc...

    Text Solution

    |

  9. Find the radius of the circular section of the sphere | vec r|=5 by...

    Text Solution

    |

  10. A point P(x ,y ,z) is such that 3P A=2P B , where Aa n dB are the p...

    Text Solution

    |

  11. Find the shortest distance between lines vec r=( hat i+2 hat j+ hat...

    Text Solution

    |

  12. Find the shortest distance between the lines (x-1)/2=(y-2)/3=(z-3)/4a ...

    Text Solution

    |

  13. Determine whether the following pair of lines intersect or not. (1...

    Text Solution

    |

  14. Find the equation of plane which is at a distance 4/(sqrt(14)) from...

    Text Solution

    |

  15. Find the unit vector perpendicular to the plane vec r.(2 hat i+ ha...

    Text Solution

    |

  16. If the straight lines x=1+s ,y=-3-lambdas ,z=1+lambdasa n dx=t/2,y=1+t...

    Text Solution

    |

  17. Find the equation of a line which passes through the point (1,1,1) ...

    Text Solution

    |

  18. Find the vector equation of a line passing through 3 hat i-5 hat j+7...

    Text Solution

    |

  19. Find the equation of the plane passing through the point (2,3,1) ha...

    Text Solution

    |

  20. Find the equation of the plane through the points (2, 3, 1) and (4, -5...

    Text Solution

    |