Home
Class 12
MATHS
The equation of the plane passing throug...

The equation of the plane passing through (1,-3,-2) and perpendicular to the planes x+2y + 3z = 5 and 3x + 3y+2z = 8 is .............

A

`5x - 7y + 3z - 20 = 0`

B

`2x-4y - 3z + 8 = 0`

C

`2x + 4y+3z + 8 = 0`

D

`5x + 7y - 3z - 20 = 0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXAMPLAR PROBLEMS (Short Answer Type Question)|49 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the plane passing through the point (-1, 3, 2) and perpendicular to each of the planes x + 2y + 3z = 5 and 3x + 3y + z = 0.

The equation of the plane passing through the pionts (2,5,-3) and perpendicular to both the planes x + 2y + 2z = 1 and x -2y + 3z = 4 is ........

Find the equation of the line passing through (1,2,3) and parallel to the planes x-y+2z -5 =0 and 3x +y + z - 6 =0 .

What is the equation of line passing through (1, 2, 3) and perpendicular to 3x+4y -5z=6 ?

The plane passing through (5,1,2) and perpendicular to the line 2(x-2) y - 4 = z-5 meets the line in the ............. Point.

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

Find the equation of the line passing through the point (3, 0, 1) and parallel to the planes x + 2y = 0 and 3y – z = 0.

The equation of the passing through the point (2,-1,3) and perpendicular to the plane 2x-y + 2sqrt(5)z = 3 is .........

Find the equation of the plane that contains the point (1,-1, 2) and is perpendicular to each of the planes 2x + 3y – 2z = 5 and x + 2y - 3z = 8.

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

KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. One plane is parallel to the vectors hat i + hat j + hat k and 2 hat i...

    Text Solution

    |

  2. The line segment joining the points (2,4,5) and (3,5,-4) divides the Y...

    Text Solution

    |

  3. The equation of the plane passing through (1,-3,-2) and perpendicular ...

    Text Solution

    |

  4. Find the distance of the point (-1, -5, -10) from the point of interse...

    Text Solution

    |

  5. The distance of the point (1,-2,3) from the plane x-y+z = 5, measured ...

    Text Solution

    |

  6. The plane contains the vectors 2 hat i + 3 hat j - hat k and hat i + h...

    Text Solution

    |

  7. A plane meets the axes in the points, A, B and C. If the centroid of D...

    Text Solution

    |

  8. Out of the following planes , which plane is passing through theline o...

    Text Solution

    |

  9. A plane is passing through (1,0,0) and (0,1,0) and it makes and angle ...

    Text Solution

    |

  10. The equation of the plane passing through origin and the line of inter...

    Text Solution

    |

  11. The equation of the plane containing the lines vec r = vec (a1) + lamb...

    Text Solution

    |

  12. If the lines vec r = vec a + lambda (vec b xx vec c) and vec r = vec b...

    Text Solution

    |

  13. The distance between the planes 2x + 2y-z + 2 = 0 and 4x + 4y -2x +...

    Text Solution

    |

  14. The plane 2x - (1- lambda) y+ 3 lambda z= 0 is passing through the lin...

    Text Solution

    |

  15. A plane passes through (1,1,1). It is perpendicular to the line (x-1)/...

    Text Solution

    |

  16. The equation of the plane passing through the line of intersection of ...

    Text Solution

    |

  17. The vector equation of the plane containing the line vec r (-2 hat i -...

    Text Solution

    |

  18. The plane passing through the intersection of the planes x+y +z =1 and...

    Text Solution

    |

  19. The equation of line passing through the point (-4,3,1) parallel to th...

    Text Solution

    |

  20. The equation of plane containing the line x/2 = y/3 = z/4 and perpendi...

    Text Solution

    |