Home
Class 12
MATHS
Find the projections (feet of the perpen...

Find the projections (feet of the perpendiculars) of the point(1,-2,4) on the Co-ordinate planes

Text Solution

AI Generated Solution

To find the projections (feet of the perpendiculars) of the point \( P(1, -2, 4) \) on the coordinate planes, we will follow these steps: ### Step 1: Identify the Coordinate Planes In three-dimensional space, there are three coordinate planes: - **XY-plane**: where \( z = 0 \) - **XZ-plane**: where \( y = 0 \) - **YZ-plane**: where \( x = 0 \) ...
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN AND POLAR COORDINATE SYSTEM

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|26 Videos
  • CO-ORDINATE GEOMETRY OF TWO DIMENSIONS (CONIC SECTION)

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|110 Videos

Similar Questions

Explore conceptually related problems

Find the projections (feet of the perpendiculars) of the point(1,-2,4) on the Co-ordinate axes

Find the length of perpendicular from point (1,-2,-5) to the coordinate planes.

Find the co ordinates of the feet of perpendiuclars from the point (a,b,c) on the co ordinate axes

Write the co- ordinate fo the feet of perpendicualrs form the point (a,b,c) on the co- ordinate axes

Find the co-ordinates of the foot of the perpendicular from the point (2,3,7) to the plane 3x - y - z = 7 . Also find the length of the perpendicular.

The co-ordinates of foot of the perpendicular from the point (2,4) on the line x+y=1 are:

A points P(1,2,3) is one vertex of a cuboid formed by the coordinate planes and the planes passing through P and parallel to the coordinate planes. What are the co-ordinates of the foot of the perpendicular drawn from the point (3,5,4) on the plane z = 0 ?

Find the equation of the perpendicular drawn from the point ( 2,4,-1) to the line x+5=(1)/(4)(y+3)=-(1)/(9)(z-6) and obtain the co-ordinates of the foot of this perpendicular

Find the length of the perpendicular from the point (2,3,7) to the plane 3 x - y - z = 7 . Also , find the co-ordinates of the foot of the perpendicular .

MAHAVEER PUBLICATION-CO-ORDINATE GEOMETRY OF THREE DIMENSIONS-QUESTION BANK
  1. Find the direction ratios of the line joining the points (1,1,-3) and ...

    Text Solution

    |

  2. Find the direction cosines of the line joining the points (1,1,-3) and...

    Text Solution

    |

  3. Find the projections (feet of the perpendiculars) of the point(1,-2,4)...

    Text Solution

    |

  4. Find the projections (feet of the perpendiculars) of the point(1,-2,4)...

    Text Solution

    |

  5. Find the projection of the line segment joining the points (3,3,5) and...

    Text Solution

    |

  6. If the co-ordinates of the point p are (1,2,2), what are the direction...

    Text Solution

    |

  7. A line makes 45^@ and 60^@ with y and z axes respectively. What angle ...

    Text Solution

    |

  8. Can the direction cosines of a line be 1/sqrt2 , 1/sqrt2, 1/sqrt2?

    Text Solution

    |

  9. If OP=3 and the direction ratios of OP be 4,2 and 4 then find the co-o...

    Text Solution

    |

  10. If cosalpha, cosbeta, cosgamma be the direction cosines of a line, pro...

    Text Solution

    |

  11. Find the direction cosines of a line which makes equal angles with ...

    Text Solution

    |

  12. For what value 'a' will the number sqrt(1/2),a,sqrt(1/3) be the direct...

    Text Solution

    |

  13. The angle between the planes 2x-y+3z=6 and x+y+2z=7 is

    Text Solution

    |

  14. A line joining the points (1,1,1) and (2,2,2) intersect the plane x+y+...

    Text Solution

    |

  15. Find the image of point (3,-2,1) in the plane 3x- y + 4z = 2.

    Text Solution

    |

  16. Let L be the line of intersection of the planes 2x""+""3y""+""z""="...

    Text Solution

    |

  17. The ratio in which the line joining (2,4,5) and (3,5,-4) is divided by...

    Text Solution

    |

  18. The distance of the point (2,1,-1) from the plane x-2y+4z=9 is (A) sqr...

    Text Solution

    |

  19. The line (x+1)/1 =(y-1)/2=(z-1)/0

    Text Solution

    |

  20. Equation of the line passing through (1,1,1) and perpendicular to the...

    Text Solution

    |