Home
Class 12
MATHS
The shortest distance from the plane ...

The shortest distance from the plane `12 x+4y+3z=327` to the sphere `x^2+y^2+z^2+4x-2y-6z=155` is a. `39` b. `26` c. `41-4/(13)` d. `13`

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

Show that the plane 2x-2y+z+12=0 touches the sphere x^2+y^2+z^2-2x-4y+2z-3=0.

The symmetrical from of the lines x+y+z-1=0 and 4x+y-2z+2=0 are -

Find the shortest distance between the z-axis and the line, x+y+2z-3=0,2x+3y+4z-4=0.

The actue angle between the plane 2x-y+z=6 and x+y+2z=3 is __

Find the shortest distance between the lines (x-1)/2=(y-2)/3=(z-3)/4a n d(x-2)/3=(y-4)/4=(z-5)/5 .

Find the shortest distance between the lines (x-1)/2=(y-2)/3=(z-3)/4 and x/2=(y-5)/3=(z+1)/4

The radius of the circle in which the sphere x^(2)+y^(2)+z^(2)+2x-2y-4z-19=0 is cut by the plane x+2y+2z+7=0 is

Prove that the equation of the plane which is pendicular to the plane 3x+2y+6z+4=0 is 2x-6y+z=0 .

The distance between the parallel planes x+2y-2z-1=0 and 2x+4y-4z+5=0 is __

The least value of the expression x^2+4y^2+3z^2-2x-12 y-6z+14 is a. 1 b. no least value c. 0 d. none of these

CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. A variable plane passes through a fixed point (alpha,beta,gamma) an...

    Text Solution

    |

  2. Show that the straight lines whose direction cosines are given by the ...

    Text Solution

    |

  3. The perpendicular distance of a corner of unit cube from a diagonal no...

    Text Solution

    |

  4. If the direction cosines of a variable line in two adjacent points be ...

    Text Solution

    |

  5. the image of the point (-1,3,4) in the plane x-2y=0 a.(-(17)/(3),(19)/...

    Text Solution

    |

  6. The ratio in which the plane vec rdot (vec i-2 vec j+3 vec k )=17 d...

    Text Solution

    |

  7. Column I, Column II A tx=1,f(x)={logx ,x<1 2x-x^2, xgeq1 , p. is ...

    Text Solution

    |

  8. The distance between the line vec r=(2 hat i-2 hat j+3 hat k)+lambd...

    Text Solution

    |

  9. If angle theta bertween the line (x+1)/1=(y-1)/2=(z-2)/2 and the plane...

    Text Solution

    |

  10. The length of the perpendicular drawn from (1,2,3) to the line (x-6...

    Text Solution

    |

  11. A plane makes intercepts O A ,O Ba n dO C whose measurements are a,b a...

    Text Solution

    |

  12. The intersection of the spheres x^2+y^2+z^2+7x-2y-z=13a n dx^2+y^2+z...

    Text Solution

    |

  13. The shortest distance from the plane 12 x+4y+3z=327 to the sphere ...

    Text Solution

    |

  14. A line makes an angel theta with each of the x-and z-axes. If the ...

    Text Solution

    |

  15. Find the equation of a straight line in the plane vec r* vec n=d ...

    Text Solution

    |

  16. What is the nature of the intersection of the set of planes x+a y+(b...

    Text Solution

    |

  17. Let P1 denote the equation of a plane to which the vector ( hat i+ h...

    Text Solution

    |

  18. Let P M be the perpendicular from the point P(1,2,3) to the x-y pla...

    Text Solution

    |

  19. If the plane x/2+y/3+z/6=1 cuts the axes of coordinates at points, A ,...

    Text Solution

    |

  20. For what value (s) of a will the two points (1,a,1) and (-3,0,a) lie ...

    Text Solution

    |