Home
Class 11
MATHS
Let A, B, C be the feet of perpendicular...

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.

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY

    CBSE COMPLEMENTARY MATERIAL|Exercise SHORT ANSWER TYPE QUESTIONS|20 Videos

  • COORDINATE GEOMETRY

    CBSE COMPLEMENTARY MATERIAL|Exercise section(D) (Long Answer Type Questions ) (6 Marks)|21 Videos

  • LIMITS AND DERIVATIVES

    CBSE COMPLEMENTARY MATERIAL|Exercise LONG ANSWER TYPE QUESTIONS|33 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 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 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)

Foot of perpendicular drawn from a point P(-2, 3, 5) on the YZ-plane is

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 : (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 : (4,-2,-6)

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

If L, M are the feet of the perpendiculars from (2,4,5) to xy - plane and yz - plane respectively, then distance LM is

CBSE COMPLEMENTARY MATERIAL-INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY-SHORT ANSWER TYPE QUESTIONS
  1. Whhat are the coordinates of the vertices of a cube whose edge is 2 un...

    Text Solution

    |

  2. Let A, B, C be the feet of perpendiculars from point P(1, –2, –3) on t...

    Text Solution

    |

  3. If a parallelopiped is formed by planes drawn through the points ( 5,8...

    Text Solution

    |

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

    Text Solution

    |

  5. Find the coordinate of the point P which is three-fourth of the way fr...

    Text Solution

    |

  6. Show that points (4, –3, –1), (5, –7, 6) and (3, 1, –8) are collinear.

    Text Solution

    |

  7. Find the point on y-a xi s which is equidistant from the points (3,1,2...

    Text Solution

    |

  8. Determine the point in yz plane which is equidistant from three points...

    Text Solution

    |

  9. The centroid of ∆ABC is at (1, 1, 1). If coordinates of A and B are (3...

    Text Solution

    |

  10. Find the length of the medians of the triangle with vertices A(0, 0, 3...

    Text Solution

    |

  11. If the extremities (end points) of a diagonal of a square are (1,-2,3)...

    Text Solution

    |

  12. Three consecutive vertices of a parallelogram ABCD are A(6,2,4) ,B(2,...

    Text Solution

    |

  13. If the points A(1, 0, –6), B(3, p, q) and C(5, 9, 6) are collinear, fi...

    Text Solution

    |

  14. Show that the point A(1, 3, 0), B(–5, 5,, 2), C(–9, –1, 2) and D(–3, –...

    Text Solution

    |

  15. The mid points of the sides of a triangle are (5, 7, 11), (0, 8, 5) a...

    Text Solution

    |

  16. Find equation of an ellipse having vetices (0, pm5) and foc (0,pm4). F...

    Text Solution

    |

  17. Prove that the points ( 0,-1,-7) , (2,1,-9) and (6,5,-13) are collinea...

    Text Solution

    |

  18. Let A(3, 2, 0), B(5, 3, 2) C(-9, 6, -3) be three points forming atria...

    Text Solution

    |

  19. Describe the vertices and edges of the rectangular parallelepiped with...

    Text Solution

    |

  20. Find the coordinates of the point which is equidistant from the point ...

    Text Solution

    |