Home
Class 11
MATHS
If A,B,C be the feet of perpendiculars f...

If A,B,C be the feet of perpendiculars from a point p on the X,Y and Z- axes repsectively, then find the coordinates of A,Band C in each of the following where the point P is
(i) A (3,4,2) (ii) B (-5,3,7)
(iii) C (4,-3,-5)

Text Solution

Verified by Experts

The coordinates of A,B and C are the following
(i) A (3,0,0)B (0,4,0) C(0,0,2)
(ii) A (-5,0,0), B (0,3,0), C (0,0,7)
(iii) A (4,0,0), B (0,-3,0), C (0,0,-5)
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NCERT EXEMPLAR|Exercise Long Answer type Questions|4 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NCERT EXEMPLAR|Exercise Objective type Questions|13 Videos

  • CONIC SECTIONS

    NCERT EXEMPLAR|Exercise Objective type|13 Videos

  • LIMITS AND DERIVATIVES

    NCERT EXEMPLAR|Exercise FILLERS|4 Videos

Similar Questions

Explore conceptually related problems

If A,B,and C be the feet of perpendiculars from a point P on the XY, YZ, and ZX- planes respectively, then find the coordinates of A , B and C in each of the following where the point P is . (i) (3, 4, 5) (ii) (-5,3,7) (iii) (4,-3,-5)

Let A,B,C be the feet of perpendicular drawn from a point P to x,y and z-axes respectively. Find the coordinates of A,B,C if coordinates of P are : (3,4,2)

Let A,B,C be the feet of perpendicular drawn from a point P to x,y and z-axes respectively. Find the coordinates of A,B,C if coordinates of P are : (4,-3,-7)

Let A,B,C be the feet of perpendicular drawn from a point P to x,y and z-axes respectively. Find the coordinates of A,B,C if coordinates of P are : (3,-5,1)

Let A,B,C be the feet of perpendicular drawn from a point P to x,y and z-axes respectively. Find the coordinates of A,B,C if coordinates of P are : (4,-2,-6)

Let A,B,C be the feet of perpendiculars drawn from a point P to x, y aned z-axses respectively. Find the coordinates of A,B,C if coordinates of P are: (3,-6,2)

Let A,B,C be the feet of perpendiculars drawn from a point P to x, y aned z-axses respectively. Find the coordinates of A,B,C if coordinates of P are: (3,1,2)

Let A, B, C be the feet of perpendiculars from point P(1, –2, –3) on the xy-plane, yz-plane and xz-plane respectively. Find the coordinates of A, B, C.

Find the distance of each of the following points from the origin: (i) A (5, -12) (ii) B(-5, 5) (iii) C(-4, -6).

If the foot of perpendicular from the point (1,-5,-10) to the plane x-y+z=5 is (a,b,c) then a+b+c=

NCERT EXEMPLAR-INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-Fillers
  1. If A,B,C be the feet of perpendiculars from a point p on the X,Y and Z...

    Text Solution

    |

  2. The three axes OX, OY and OZ determine ………….

    Text Solution

    |

  3. The three planes, determine a rectangular parallelopiped which has ………...

    Text Solution

    |

  4. The coordiantes of a point are the perpendicular distance from the ….....

    Text Solution

    |

  5. The Three coordiantes planes divide the space into ……. Parts.

    Text Solution

    |

  6. If a point P lies in YZ- plane , the n the coordinates of a point on Y...

    Text Solution

    |

  7. The equation of YZ- plane is ………

    Text Solution

    |

  8. If the point P lies on Z - axis , then coordinates of p are of the for...

    Text Solution

    |

  9. The equation of Z - axis , are…………..

    Text Solution

    |

  10. A line is parallel to XY- plane if all the points on the line have equ...

    Text Solution

    |

  11. A line is parallel to X-axis,if all the points on the line have equal…...

    Text Solution

    |

  12. 45x=a represent a plane parallel to ………..

    Text Solution

    |

  13. The plane parallel to YZ- plane is perpendicular to ………….

    Text Solution

    |

  14. The length of the longest piece of a string that can be stetched strai...

    Text Solution

    |

  15. If the distance between the points P(a ,2,1)a n d\ Q(1,-1,1) is 5 unit...

    Text Solution

    |

  16. The coordinates of the mid points of sides AB, BC and CA of A B C are...

    Text Solution

    |

  17. Match each item given under the column I to its correct answer given u...

    Text Solution

    |