Home
Class 12
MATHS
Find the distance between the parallel p...

Find the distance between the parallel planes `2x-y+2z+3=0a n d4x-2y+4z+5=0.`

A

`1//3`

B

`2//6`

C

`2//3`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
The equations of two planes are `2x-y+2z+3=0` and `2x-y+2z+5/2=0`
`:.` Required distance `=(|3-5/2|)/(sqrt(4+1+4))=1/6`
Promotional Banner

Topper's Solved these Questions

  • PLANE AND STRAIGHT LINE IN SPACE

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section I - Solved Mcqs|89 Videos

  • PLANE AND STRAIGHT LINE IN SPACE

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|16 Videos

  • MISCELLANEOUS EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos

  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|55 Videos

Similar Questions

Explore conceptually related problems

Find the distance between the parallel planes x+2y-2z+1=0a n d2x+4y-4z+5=0.

Find the distance between the parallel planes x+y-z+4=0a n dx+y-z+5=0.

Find the distance between the parallel planes x+y−z+4=0 and x+y−z+5=0.

Distance between two parallel planes 2x+y+2z=8 and 4x+2y+4z+5=0 is

Find the distance between the planes 2x-y+2z=4 and 6x-3y+6z=2.

The distance between parallel planes 2x+y-2z-6=0 and 4x+2y-4z=0 is______units.

The distance between the parallel planes 4x-2y+4z+9=0 and 8x-4y+8z+21=0 is (A) 1/4 (B) 1/2 (C) 3/2 (D) 7/4

The distance between parallel planes 2x+y-2z-6=0 and 4x+2y-4z=0 is ______ units.

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

The distance between the planes 2x+2y-z+ 2=0\ a n d\ 4x+4y-2z+5=0 is a. 1/2 b. 1/4' c. 1/6 d. none of these

OBJECTIVE RD SHARMA ENGLISH-PLANE AND STRAIGHT LINE IN SPACE -Chapter Test
  1. Find the distance between the parallel planes 2x-y+2z+3=0a n d4x-2y+4z...

    Text Solution

    |

  2. The length of the perpendicular from the origin to the plane passing t...

    Text Solution

    |

  3. The value of lamda for which the lines (x-1)/1=(y-2)/(lamda)=(z+1)/(-1...

    Text Solution

    |

  4. The angle between the lines (x+4)/(1) = (y-3)/(2) = (z+2)/(3) and (x)/...

    Text Solution

    |

  5. The direction cosines of the line 6x-2=3y+1=2z-2 are

    Text Solution

    |

  6. A line passes through two points A(2,-3,-1) and B(8,-1,2). The coordin...

    Text Solution

    |

  7. The position vector of a point at a distance of 3sqrt(11) units from h...

    Text Solution

    |

  8. The line joining the points 6veca-4vecb+4vecc, -4vecc and the line joi...

    Text Solution

    |

  9. The image (or reflection) of the point (1,2-1) in the plane vecr.(3hat...

    Text Solution

    |

  10. The equation of the plane through the line of intersection of the plan...

    Text Solution

    |

  11. Angle between the line vecr=(2hati-hatj+hatk)+lamda(-hati+hatj+hatk) a...

    Text Solution

    |

  12. The line through hati+3hatj+2hatkandbot"to the line "vecr=(hati+2hatj-...

    Text Solution

    |

  13. The distance of the point having position vector -hat(i) + 2hat(j) + 6...

    Text Solution

    |

  14. The position vector of the point in which the line joining the points ...

    Text Solution

    |

  15. The two lines vecr=veca+veclamda(vecbxxvecc) and vecr=vecb+mu(veccxxve...

    Text Solution

    |

  16. Lines vecr = veca(1) + lambda vecb and vecr = veca(2) + svecb will lie...

    Text Solution

    |

  17. Equation of a line passing through (-1,2,-3) and perpendicular to the ...

    Text Solution

    |

  18. Find the Vector and Cartesian equation of line passing through (1, -2,...

    Text Solution

    |

  19. The distance between the planes given by vecr.(hati+2hatj-2hatk)+5=0...

    Text Solution

    |

  20. Find shortest distance between the line vecr = (5hati + 7hatj + 3ha...

    Text Solution

    |

  21. Find the shortest distance between the lines vecr=(hatii+2hatj+hatk)+l...

    Text Solution

    |