Home
Class 12
MATHS
The equation of the plane through the po...

The equation of the plane through the points (2,-1,0), (3,-4,5) parallel to a line with direction cosines proportional to 2,3,4 is 9x-2y-3z=k, where k is

A

20

B

-20

C

10

D

-10

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PLANE

    TARGET PUBLICATION|Exercise COMPETATIVE THINKING|89 Videos
  • PLANE

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos
  • PLANE

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos
  • PAIR OF STRAIGHT LINES

    TARGET PUBLICATION|Exercise EVALUATION TEST|11 Videos
  • PROBABILITY DISTRIBUTION

    TARGET PUBLICATION|Exercise Evaluation test|5 Videos

Similar Questions

Explore conceptually related problems

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

find the equation of a plane passing through the points (2,-1,0) and (3,-4,5) and parallel to the line 2x=3y=4z

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

The equation of the plane through (2,3,4) and parallel to the plane x+ 2y + 4z =25 is :

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

Find the equation of the line through point (1,2,3) and parallel to line x-y+2z5,3x+y+z=6 .

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

Find the equation of the plane through P(1,4,-2) and parallel to the plane -2x+y-3z=0

TARGET PUBLICATION-PLANE-CRITICAL THINKING
  1. Equation of the plane which bisects the line segment joining (-1,2,3) ...

    Text Solution

    |

  2. The intercepts made on the axes by the plane the which bisects the ...

    Text Solution

    |

  3. The equation of the plane through the points (2,-1,0), (3,-4,5) parall...

    Text Solution

    |

  4. If the vector equation of a plane passing through three points (1,0,z1...

    Text Solution

    |

  5. The equation of the plane passing through the points (3,2,-1) , (3,4,...

    Text Solution

    |

  6. The equation of the plane which contains the origin and the line of in...

    Text Solution

    |

  7. The line of intersection of the planes barr.(3hati-hatj+hatk)=1" and "...

    Text Solution

    |

  8. The equation of the plane through the intersection of plane x+2y+3z-4=...

    Text Solution

    |

  9. The equation of a plane passing through origin and perpendicular to th...

    Text Solution

    |

  10. The equation of the plane passing through Z-axis and perpendicular to ...

    Text Solution

    |

  11. Equation of plane which contains the line (x-1)/(1)=(y-2)/(3)=(z-3)/(2...

    Text Solution

    |

  12. The equation of the plane passing through A(x1,y1,z1) and containg the...

    Text Solution

    |

  13. Find the equation of a line passing through the point (2hati-3hatj-5h...

    Text Solution

    |

  14. Find the vector equation of a line passing through 3 hat i-5 hat j+...

    Text Solution

    |

  15. The equation of a line passing through point (1,2,3) and perpendicular...

    Text Solution

    |

  16. The equation of the line passing through (1, 2, 3) and parallel to the...

    Text Solution

    |

  17. If the angle between the planes barr.(xhati+hatj-hatk)=4" and "barr.(h...

    Text Solution

    |

  18. For any four points O(0,0,0),P(1,2,1),Q(2,3,0),R(0,1,-1), the angle be...

    Text Solution

    |

  19. The active angle between the plane 2x+3y-z+7=0 and X-axis is

    Text Solution

    |

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

    Text Solution

    |