Home
Class 12
MATHS
Write the equation of the plane perpendi...

Write the equation of the plane perpendicular to z-axis and passing through `(1,-2,4).

Text Solution

Verified by Experts

Given plans `2x+4y+z+2=0` and `x-2y+ky+5=0` are perpendicular to each other `therefore2xx1+4xx(-2)+1xxk=0rArrk=6`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    MBD PUBLICATION|Exercise QUESTION BANK|127 Videos
  • TRIGONOMETRIC FUNCTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|267 Videos

Similar Questions

Explore conceptually related problems

The equation of plane perpendicular to z-axis and passing through (1, -2, 4) is_____

Write the equation of the plane perpendicular to y-axis at the point (0,-2, 0).

Write the equation of the plane passes through y-axis and z-axis.

What is the equation of the plane _|_r to y-axis and passing through(2,-3,5)?

Write the equation of the plane passing through x-axis and y-axis.

The equation of the plane parallel to xz-plane and passing through (2, -4, 0) is y + 4 = 0 .

Write the equation of the plane through origin and passing through the intersection of the planes 3x-2y+z-1=0 and x-2y+3z-1=0

Write the equation of the plane passing through the point(1,-2,3)and perpendicular to the y-axis.

MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Write the equation of the plane x+3y-7z+2=0 in the intercept from.

    Text Solution

    |

  2. Write the equation of the plane passing through x-axis and y-axis.

    Text Solution

    |

  3. Write the equation of the plane perpendicular to z-axis and passing th...

    Text Solution

    |

  4. If the plane 2x+4y+z+2=0 and x-2y+kz+5=0 are perpendicular to each oth...

    Text Solution

    |

  5. Write down the equation of x-axis.

    Text Solution

    |

  6. Write the vector equation of a line through the point (1,2,3) and para...

    Text Solution

    |

  7. Write the equation of the line passing through the points (3,-2,-5) an...

    Text Solution

    |

  8. Write the equation of the line (x-5)/3=(y+4)/7=(z-6)/2 in vector form.

    Text Solution

    |

  9. Write the equation of the line in symmetric form through the point (1,...

    Text Solution

    |

  10. Write the equation of the line x=ay+b,z=cy+d in symmetric from.

    Text Solution

    |

  11. Write the equation of the plane passing through the point (2, 3, 1) an...

    Text Solution

    |

  12. What is the number of independent constants that occur in the general ...

    Text Solution

    |

  13. The angle between the planes x+y+z+1=0 and 2x+y+z+2=0 is.

    Text Solution

    |

  14. The angle between the plane 3x+3z-5=0 and the line (x-1)/1=(y-2)/-1=(z...

    Text Solution

    |

  15. If the lines (x-1)/k=(y-3)/2=(2-z)/-5 and (x-1)/3=(2-y)/-4=z/k are per...

    Text Solution

    |

  16. Find the equation of the plane passing through the intersection of the...

    Text Solution

    |

  17. Find the co-ordinates of the foot of the perpendicular drawn from the ...

    Text Solution

    |

  18. If the points (-1,-1,2), (2,m,5) and (3,11,6) are collinear, then find...

    Text Solution

    |

  19. Two vertices of a tringle are (1,2,3) and (3,-2,7) and centroid is (2,...

    Text Solution

    |

  20. Show that the points (1,2,3), (2,3,1) and (3,1,2) from an equilateral ...

    Text Solution

    |