Home
Class 12
MATHS
Distance between the two planes 2x+3y +4...

Distance between the two planes `2x+3y +4z =4 and 4x+6y +8z=12` is

A

`2/sqrt(29)`

B

`6/sqrt(58)`

C

`4/sqrt(29)`

D

`12/sqrt(76)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - B|47 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - C|14 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise TRY YOURSELF|97 Videos

  • STRAIGHT LINES

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-J (AAKASH CHALLENGERS QUESTIONS)|5 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section - J (Akash Challengers Question)|16 Videos

Similar Questions

Explore conceptually related problems

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

Find the angle between the two planes 3x - 6y + 2z = 7 and 2x + 2y-2z =5 .

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

Find the angle between two planes 2x+y-5z=0 and 4x -3y+7z=0

If the distance between the planes 8x+12y-14z=2 and 4x+6y-7z=2 can be expressed in the form (1)/(sqrt(N)) , where N is natural, then the value of (N(N+1))/(2) is

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

What is basic relation between these planes: 2x -y + 4z = 5 and 5x - 2.5y + 10z = 6

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

Find the angle between the two lines 2x=3y=-z and 6x=-y=-4z .

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

AAKASH INSTITUTE ENGLISH-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT SECTION - A
  1. Find the equation of plane containing the line x+ y - z = 0 = 2x – y +...

    Text Solution

    |

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

    Text Solution

    |

  3. A unit vector normal to the plane through the points hati, 2hatj and...

    Text Solution

    |

  4. The direction cosines of the normal to the plane x + 2y - 3z + 4 = 0...

    Text Solution

    |

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

    Text Solution

    |

  6. The angle between the line whose d.c.'s are connected by the relations...

    Text Solution

    |

  7. Find the coordinates of the foot of perpendicular drawn from th poi...

    Text Solution

    |

  8. एक रेखा की दिक्-कोसाइन ज्ञात कीजिए तो निर्देशांक्षो के साथ समान कोण ...

    Text Solution

    |

  9. The number of unit vectors perpendicular to the plane of vectors veca=...

    Text Solution

    |

  10. The pair of lines whose direction cosines are given by the equations 3...

    Text Solution

    |

  11. If direction cosines of a line are (1/a, 1/a, 1/a) then

    Text Solution

    |

  12. The planes: 2x y + 4z = 5 a n d 5x 2. 5 y + 10 z = 6are(A) Perpendic...

    Text Solution

    |

  13. Distance between the two planes 2x+3y +4z =4 and 4x+6y +8z=12 is

    Text Solution

    |

  14. Find the equation of the plane passing through the point (-1, 3, 2) an...

    Text Solution

    |

  15. The locus represented by xy + yz = 0 is

    Text Solution

    |

  16. Find the reflection of the point (alpha, beta, gamma) in the XY-plane,...

    Text Solution

    |

  17. The sine of the angle between the line (x-2)/(3) = (y-3)/(4) = (z-4)/(...

    Text Solution

    |

  18. If the line (x-1)/2=(y+3)/1=(z-5)/(-1) is parallel to the plane px +...

    Text Solution

    |

  19. A tetrahedron has vertices O (0,0,0), A(1,2,1,), B(2,1,3) and C(-1,1,2...

    Text Solution

    |

  20. Find the shortest distance between the lines (x)/2=(y-2)/3=(z-4)/3 a...

    Text Solution

    |