Home
Class 12
MATHS
An equation of a plane parallel to the p...

An equation of a plane parallel to the plane `x-2y+2z-5=0` and at a unit distance from the origin is

A

`x-2y+2z-3=0`

B

`x-2y+2z+1=0`

C

`x-2y+2z-1=0`

D

`x-2y+2z+5=0`

Text Solution

Verified by Experts

The correct Answer is:
(a)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 11 : Subjective Type Questions|1 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the planes parallel to the plane x-2y+2z-3=0 and which is at a unit distance from the point A(1,1,1) .

Find the equations of the planes parallel to the plane x-2y+2z-3=0 which is at a unit distance from the point (1,2,3) .

Find the equation of the plane containing the lines 2x-y+z-3=0, 3x+y+z=5 and at a distance of 1/sqrt6 from the point (2,1,-1) .

Find the equation of the image of the plane x-2y+2z-3=0 in plane x+y+z-1=0.

Find the equation of the plane through the intersection of the planes x+3y+6=0 and 3x-y-4z=0 , whose perpendicular distance from the origin is unity.

In each of the following cases, determine the direction cosines of the normal to the plane and the distance from the origin. : 2x+3y-z=5

In the following case, determine the direction cosines of the normal to the plane and the distance from the origin: 2x+3y-z=5

Find the equation of the point mid-parallel to the planes 2x-2y+z+3=0 and 2x-2y+z+9=0.

The equation of the plane passing through the line of intersection of the planes x+2y+3z=2 and x-y+z=3 at a distance 2/sqrt3 from the point (3,1,-1) is :

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Distance between two parallel planes 2x+y+2z=8 and 4x+2y+4z+5=0 is

    Text Solution

    |

  2. If the lines (x-2)/1=(y-3)/1=(z-4)/(-k) and (x-1)/k=(y-4)/2=(z-5)/1 ar...

    Text Solution

    |

  3. An equation of a plane parallel to the plane x-2y+2z-5=0 and at a unit...

    Text Solution

    |

  4. If the line (x-1)/(2)=(y+1)/(3)=(z-1)/(4) and (x-3)/(1)=(y-k)/(2)=(z)/...

    Text Solution

    |

  5. If the angle between the line x=(y-1)/(2)=(z-3)(lambda) and the plane ...

    Text Solution

    |

  6. Statement-I The point A(1, 0, 7) is the mirror image of the point B(1,...

    Text Solution

    |

  7. The length of the perpendicular drawn from the point (3, -1, 11) to th...

    Text Solution

    |

  8. The distance of the point (1,-5,""9) from the plane x-y+z=5 measured a...

    Text Solution

    |

  9. A line AB in three-dimensional space makes angles 45^(@) and 120^(@) w...

    Text Solution

    |

  10. Statement-I The point A(3, 1, 6) is the mirror image of the point B(1,...

    Text Solution

    |

  11. Let the line (x-2)/(3)=(y-1)/(-5)=(z+2)/(2) lies in the plane x+3y-alp...

    Text Solution

    |

  12. The projection of a vector on the three coordinate axes are 6, -3, 2, ...

    Text Solution

    |

  13. The line passing through the points (5, 1, a) and (3, b, 1) crosses th...

    Text Solution

    |

  14. If the straight lines (x-1)/(k)=(y-2)/(2)=(z-3)/(3) and (x-2)/(3)=(y-3...

    Text Solution

    |

  15. Let L be the line of intersection of the planes 2x""+""3y""+""z""=""...

    Text Solution

    |

  16. If a line makes an angle of pi/4 with the positive directions of each ...

    Text Solution

    |

  17. If (2, 3, 5) is one end of a diameter of the sphere x^(2)+y^(2)+z^(2)-...

    Text Solution

    |

  18. The two lines x=ay+b,z=cy+d and x=a'y+b', z=c'y +d' are pendicular to ...

    Text Solution

    |

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

    Text Solution

    |

  20. If the plane 2ax-3ay+4az+6=0 passes through the mid point of the line ...

    Text Solution

    |