Home
Class 12
MATHS
If the distance of the point (1,1,1) fro...

If the distance of the point (1,1,1) from the origin is half its distance from the plane `x+y+z+k=0`, then k is equal to

A

`pm 3`

B

`pm6`

C

`-3,9`

D

`3,-9`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 19

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Paper 2 (Mathematics)|50 Videos
  • PRACTICE SET 21

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (MATHEMATICS)|50 Videos

Similar Questions

Explore conceptually related problems

The distance of the point (2,1,0) from the plane 2x+y+2z+5=0

If the product of distances of the point (1,1,1) from the origin and plane x-y+z+lambda=0 be 5 then lambda=

The distance of point (2,-1,0) from the plane 2x+y+2z+8=0 is

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

A plane P = 0 passing through the point (1, 1, 1) is perpendicular to the planes 2x-y+2z=5 and 3x+6y-2z=7 . If the distance of the point (1, 2, 3) from the plane P = 0 is k units, then the value of 34k^(2) is equal to

Find the distance of the point (1,2,0) from the plane 4x+3y+12z+16=0

Find the distance of the point (1, 2-1) from the plane x -2y + 4z - 10 = 0 .

The distance of the point (1,-2,3) from the plane x-y+z-5=0 , measured parallel to the line x/2=y/3=(z-1)/-6 is equal to

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 20-PAPER 2 (Mathematics)
  1. If the plane 3x-2y-z-18=0 meets the coordinate axes in A,B,C then, the...

    Text Solution

    |

  2. The locus of the point P(x,y) satisfying the relation sqrt((x-3)^2+(y-...

    Text Solution

    |

  3. The contrapositive of p implies ~q is

    Text Solution

    |

  4. The point at which the tangent to the curve y=2x^(2)-x+1 is parallel t...

    Text Solution

    |

  5. Solution of the differential equation (dy)/(dx)tany=sin(x+y)+sin(x-y) ...

    Text Solution

    |

  6. lim(x to oo) ((x+a)/(x+b))^(x+b) is equal to

    Text Solution

    |

  7. If the distance of the point (1,1,1) from the origin is half its dista...

    Text Solution

    |

  8. Forces acting on a particle have magnitude 5,3 and 1 unit and act in t...

    Text Solution

    |

  9. If a^(2)x^(4) + b^(2)y^(4)=c^(6), then maximum value of xy is

    Text Solution

    |

  10. If 4x^(2)+ py^(2) =45 and x^(2)-4y^(2) =5 cut orthogonally, then the v...

    Text Solution

    |

  11. If A=[{:(alpha,2),(2, alpha):}] and |A^(3)|=125 then the value of alph...

    Text Solution

    |

  12. The equation of the plane passing through the intersection of x + 2y +...

    Text Solution

    |

  13. Consider an infinite geometric series with first term a and common rat...

    Text Solution

    |

  14. The length of the transverse axis of a hyperbola, 2 cos0. the foci of ...

    Text Solution

    |

  15. The equation to the hyperbola having its eccentricity 2 and the distan...

    Text Solution

    |

  16. sin47^@+sin61^@-sin11^@-sin25^@=

    Text Solution

    |

  17. Let C be the circle with centre (0, 0) and radius 3 units. The equatio...

    Text Solution

    |

  18. Let {:A=[(1,2),(3,4)]and BA=[(a,0),(0,b)]:},a,b in N Then,

    Text Solution

    |

  19. The position of a point in time t is given by x=a+bt-ct^(2),y=at+bt^(2...

    Text Solution

    |

  20. If y=(1+x^(2))tan^(-1) x-x , then (dy)/(dx) is equal to

    Text Solution

    |