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

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

Text Solution

Verified by Experts

Any plane perpendicular to z-axis has equation z = 4 As it passes through `(1,-2,4) we have 4 = k `therefore` The required equation is z = 4.
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

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

Write the equation of the plane passing through (3,-6,-9) and parallel to xy-plane.

Write the equation of the plane passing through (1,2,3) and parllel to the plane x+2y+5z=0 .

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

Write the equation of the line passing through (-3, 1, 2) and perpendicular to the plane 2y - z=3.

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

Write the equation of the plane passing through the point (2, 3, 1) and perpendicular to the line. (x-1)/1=(y-2)/-1=(z+1)/3

Write the equation of the plane passing through the point (1,2,3), the direction ratios of the normal to the plane being langle3,5,7rangle

MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Write the equation of the plane 3x-4y+z+5=0 in normal form.

    Text Solution

    |

  2. Write the equation of the plane x+3y-7z+2=0 in the intercept from.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. Write down the equation of x-axis.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |