Home
Class 12
MATHS
The equation of the plane containing the...

The equation of the plane containing the line `2x-5y+z=3, x+y+4z=5` and parallel to the plane `x+3y+6z=1`, is

A

`x+3y+6z=7`

B

`2x+6y+12z=-13`

C

`2x+6y+12z=13`

D

`x+3y+6z=-7`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|276 Videos

  • PROBABILITY DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQs|127 Videos

Similar Questions

Explore conceptually related problems

Let the equation of the plane containing the line x-y-z-4=0=x+y+2z-4 and is parallel to the line of intersection of the planes 2x+3y+z=1 and x+3y+2z=2 be x+Ay+Bz+C=0 compute the value of |A+B+C|

The equation of the plane passing through the intersection of the planes 2x-5y+z=3 and x+y+4z=5 and parallel to the plane x+3y+6z=1 is x+3y+6z=k , where k is

The equation of the plane through the line x+y+z+3=0=2x-y+3z+1 and parallel to the line x/1=y/2=z/3 is

Let the equation of the plane containing line x-y-z-4=0=x+y+2z-4 and parallel to the line of intersection of the planes 2x+3y+z=1 and x+3y+2z=2 be x+Ay+Bz+C=0 . Then the values of |A+B+C-4| is …..

The equation of the plane through the line x+y+z+3=0=2x-y+3z+1 and parallel to the line x/1=y/2=z/3 is a. x-5y+3=7 b. x-5y+3z=7 c. x+5y=3z=7 d. x+5y+3z=-7

The equation of the plane containing the straight line x/2=y/3=z/4 and perpendicular to the plane containing the straight lines x/3=y/4=z/2 and x/4 =y/2 =z/3 is :

Equation of the plane containing the line L_(1) : (x-1)/3 = (y+6)/4 = (z+1)/2 , parallel to the line L_(2) : (x-2)/2 = (y-1)/(-3)= (z+4)/5 , is 26 x - 11y - 17 z = p where : p =

NIKITA PUBLICATION-PLANE-MULTIOLE CHOICE QUESTIONS
  1. The value of k such that (x-4)/1=(y-2)/1=(z-k)/2 lies in the plane 2x-...

    Text Solution

    |

  2. The equation of plane passing through the point (1 ,2 ,3) and paralle...

    Text Solution

    |

  3. The equation of the plane containing the line 2x-5y+z=3, x+y+4z=5 and ...

    Text Solution

    |

  4. Perpendicular are drawn from points on the line (x+2)/(2)=(y+1)/(-1)=...

    Text Solution

    |

  5. If the plane passing through the origin and parallel to the line (x-1)...

    Text Solution

    |

  6. If lamdax+4y+5z=7,4x+4lamday+10z-14=0 represent the same plane , then ...

    Text Solution

    |

  7. If the line vecr=(hati-2hatj+3hatk)+lambda(2hati+hatj+2hatk) is parall...

    Text Solution

    |

  8. If the line barr=(hati-hatj+3hatk)+lamda(hati-hatj+mhatk) is parallel...

    Text Solution

    |

  9. The plane 2x+3y+kz-7=0 is parallel to the line whose direction ratios...

    Text Solution

    |

  10. Find the distance between the parallel planes 2x-y+2z+3=0a n d4x-2y+4z...

    Text Solution

    |

  11. Equation of the plane parallel to the planes x+2y+3z-5=0," "x+2y+...

    Text Solution

    |

  12. If the planes x-cy-bz=0, cx-y+az=0 and bx+ay-z=0 pass through a line, ...

    Text Solution

    |

  13. If from a point P(a ,b ,c) perpendiculars P Aa n dP B are drawn to Y Z...

    Text Solution

    |

  14. If A and B are foot of perpendicular drawn from point Q(a,b,c) to the ...

    Text Solution

    |

  15. If a line joining the points (1,-1,2)and(3,2,-1) is perpendicular to ...

    Text Solution

    |

  16. The equation of the plane containing the lines vecr=(hati+hatj-hatk)+l...

    Text Solution

    |

  17. Show that the lines vecr=(2hatj-3hatk)+lambda(hati+2hatj+3hatk) and ...

    Text Solution

    |

  18. Show that the lines vecr=(2hatj-3hatk)+lambda(hati+2hatj+3hatk) and ...

    Text Solution

    |

  19. Prove that the lines (x+1)/3=(y+3)/5=(z+5)/7a n d(x-2)/1=(y-4)/4=(z-6)...

    Text Solution

    |

  20. The equation of plane containing the lines barr=(2hatj-3hatk)+lamda(ha...

    Text Solution

    |