Home
Class 11
MATHS
Find the cartesian equation of the plane...

Find the cartesian equation of the plane through the point `A (2,-1,-4)` and parallel to the plane `4x-12y-3z-7=0`.

A

`x+12y-3z = 4`

B

`4x-12y-3z = 32`

C

`4x+12y-3z = 32`

D

`4x-12y+3z = 32`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DOT PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|57 Videos
  • DOT PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise EXERCISE - I|30 Videos
  • DIRECTION COSINES AND RATIOS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|8 Videos
  • ERRORS AND APPROXIMATIONS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTION|15 Videos

Similar Questions

Explore conceptually related problems

The equation of the plane passing through the point (2,3,-4) and parallel to the plane x+2y+3z-7=0 is

Find the equation of the plane passing through the point (1,1,1) and parallel to the plane x+2y+3z-7=0

The equation of the plane passing through the point (-2,-1,-3) and parallel to the plane 2x+y+z-9=0 is

Find the equation of the plane passing through the point (1,2,-3) and parallel to the plane 2x-3y+6z=0

Find the equation of the line passing through the point (-2,1) and parallel to 4x-7y+3=0.

Find the equation of tbe plane passing through the point (1,2,-3) & parallel to the plane 2x-3y+6z=0 .

Find the equation of the plane through the points (2,2,-1),(3,4,2),(7,0,6) .

The equation of the plane passing through the point (- 1, 2, 4) and parallel to the plane 2x + 3y - 5z + 6 = 0 is

AAKASH SERIES-DOT PRODUCT OF TWO VECTORS-EXERCISE - II
  1. The vector equation of the plane which contains the point (1,1,8) and ...

    Text Solution

    |

  2. The perpendicular distance from origin to the plane passing through th...

    Text Solution

    |

  3. Find the cartesian equation of the plane through the point A (2,-1,-4)...

    Text Solution

    |

  4. The cartesian equation of the plane passing through (1,1,1) and contai...

    Text Solution

    |

  5. The vector equation of the plane through the point (1,1,-1) and passin...

    Text Solution

    |

  6. Let A = (bari-barj+3bark), B=(3bari+3barj+3bark) " be two points and "...

    Text Solution

    |

  7. Angle between the line barr = (-bari+3barj+3bark)+t(2bari+3barj+6bark)...

    Text Solution

    |

  8. If 3bari+4barj+5bark is P.V. of one end of a diameter of the sphere a...

    Text Solution

    |

  9. The force barF = 2bari+2barj-bark " acting at " bara =bari-2barj+bark ...

    Text Solution

    |

  10. A particle is acted upon by constant forces 4bari+barj-3bark and 3bari...

    Text Solution

    |

  11. Three forces having magnitudes 5,4 and 3 units act on a particle in th...

    Text Solution

    |

  12. Which of the following statements is are correct Statement -I : For ...

    Text Solution

    |

  13. If bar a and bar b are two unit vectors inclined at an angle alpha to ...

    Text Solution

    |

  14. Assertion (A) : bara,barb,barc and bard are the position vectors of fo...

    Text Solution

    |

  15. If a,b and c are vectors with magnitudes 2,3 and 4 respectively then t...

    Text Solution

    |

  16. If, absbara = 3, absbarb = 4 abs(bara+barb) = 1 " ,then " abs(bara-bar...

    Text Solution

    |

  17. If the vectors bara = (1,x,-2), barb = (x,3,-4) are mutually perpendic...

    Text Solution

    |

  18. If bara = -bari+2barj+3bark, barb = bari -2barj+bark, barc = 4bari-3ba...

    Text Solution

    |

  19. If 'theta' is an acute angle and the vector (sin theta)bari +(cos thet...

    Text Solution

    |

  20. If bara.(barb+barc) = barb.(barc+bara) = barc.(bara+barb) =0 and absba...

    Text Solution

    |