Home
Class 12
MATHS
Name the plane in which (8, -6, 0) lies....

Name the plane in which (8, -6, 0) lies.

Text Solution

AI Generated Solution

The correct Answer is:
To determine the plane in which the point (8, -6, 0) lies, we can follow these steps: ### Step 1: Identify the coordinates of the point The point given is (8, -6, 0). Here, the coordinates are: - x = 8 - y = -6 - z = 0 ### Step 2: Understand the properties of the planes in 3D geometry In a three-dimensional coordinate system, there are three primary planes: - **XY Plane**: This is where z = 0. - **XZ Plane**: This is where y = 0. - **YZ Plane**: This is where x = 0. ### Step 3: Determine the value of z From the coordinates of the point (8, -6, 0), we see that z = 0. ### Step 4: Identify the relevant plane Since z = 0, we look for the plane where this condition holds true. The plane that satisfies z = 0 is the **XY Plane**. ### Conclusion The point (8, -6, 0) lies in the **XY Plane**. ---
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - A|90 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - B|47 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise Illustration|4 Videos
  • STRAIGHT LINES

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-J (AAKASH CHALLENGERS QUESTIONS)|5 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section - J (Akash Challengers Question)|16 Videos

Similar Questions

Explore conceptually related problems

Name the plane in which (0, 6, 8) lies.

Name the plane in which (3, 0, 6) lies.

Name the axis on which (0, 6, 0) lies.

Name the octant in which (3, -4, 6) lies.

Name the octant in which (-4,2,-6) lies.

Name the axis on which (-5, 0, 0) lies.

Name the octant in which (-4, -3, -8) lies.

Name the axis on which (0, 0, -6) lies.

let P be the plane, which contains the line of intersection of the planes x+y+z-6=0 and 2x+3y+z+5=0 and it is perpendicular to the xy-plane thent he distance of the point (0,0,256) from P is equal to

A circle has its centre at the origin and a point P (5,0) lies on it . The point Q (6,8) lies outside the circle.

AAKASH INSTITUTE ENGLISH-THREE DIMENSIONAL GEOMETRY -TRY YOURSELF
  1. Name the octant in which (-4, -3, -8) lies.

    Text Solution

    |

  2. Name the plane in which (0, 6, 8) lies.

    Text Solution

    |

  3. Name the plane in which (8, -6, 0) lies.

    Text Solution

    |

  4. Name the axis on which (0, 0, -6) lies.

    Text Solution

    |

  5. Name the axis on which (-5, 0, 0) lies.

    Text Solution

    |

  6. Locate the following points: (i) L(2, 3, 6) (ii) M(-3, 6, 8)

    Text Solution

    |

  7. Locate the point A(3, 5, -4).

    Text Solution

    |

  8. Find the foot of perpendicular drawn from a point M(-2, 3, 6) on the c...

    Text Solution

    |

  9. Find the foot of perpendicular drawn from a point P(2, 4, -5) on the c...

    Text Solution

    |

  10. Find the distances of the point (-4, -3, 4) from the coordinate plane...

    Text Solution

    |

  11. Find the distances of the point (-4, 3, 6) from the coordinate planes...

    Text Solution

    |

  12. Find the distance of the point P(3, 4, 6) from y-axis.

    Text Solution

    |

  13. Find the distance of the point (-3, -4, 6) from z-axis.

    Text Solution

    |

  14. Find the image of the point (4, 5, 7) in XY-plane.

    Text Solution

    |

  15. Find the image of the point (-4, 0, -1) in YZ-plane.

    Text Solution

    |

  16. Find the distance between the points (5, 3, -2) and (3, 2, 1).

    Text Solution

    |

  17. Find the distance between origin and (2, 5, 6).

    Text Solution

    |

  18. Show that the points (-1, 0, -4), (0, 1, -6) and (1, 2, -5) from a rig...

    Text Solution

    |

  19. Show that the points (0,7,10), (-1,6,6) and(-4,9,6) are the vertices o...

    Text Solution

    |

  20. Show that the points (-3, 2, 4), (-1, 5, 9) and (1, 8, 14) lie on a li...

    Text Solution

    |