Home
Class 12
MATHS
If from a point P(a,b,c) perpendicular P...

If from a point P(a,b,c) perpendicular PA and PB are drawn to yz and zx-planes, find the vector equation of the plane OAB.

Promotional Banner

Topper's Solved these Questions

  • Three Dimensional Geometry

    MODERN PUBLICATION|Exercise EXERCISE|491 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXAMPLE|13 Videos

  • UNIT TEST-4

    MODERN PUBLICATION|Exercise EXERCISE|13 Videos

Similar Questions

Explore conceptually related problems

The foot of perpendicular drawn from the origin to a plane is (2,5,7). Find the vector equations of the plane.

The foot of perpendicular drawn from the origin to a plane is (12,-4,-3). Find the equation of the phase.

P is a point (a, b, c). Let A, B, C be images of P in y-z, z-x and x-y planes respectively, then the equation of the plane ABC is

The foot of the perpendicular drawn from the origin to the plane is : (2,-3,-4). Find the equation of the plane.

A plane passes through a fixed point (a, b, c) and direction ratios of the normal to the plane are (2, 3 , 4) find the equation of the plane

From the point P(1,2,4), a perpendicular is drawn on the plane 2x+y-2z+3=0 . Find the equations, the length and co-ordinates of the foot of the perpendicular.

Find the length and foot of perpendicular drawn from the point (3,2,1) onto the plane 2x-y+z+1=0. also find the equation of the plane in which they lie.

If the line drawn from the point (-2,-1,-3) meets a plane at right angles at the point (1,-3,3), find the eqution of the plane.

If the line drawn from the point (-2,-1,-3) meets a plane at right angles at the point (1,-3,3), find the eqution of the plane.

If the foot of perpendicular drawn from the origin to a plane is (5,-3,-2), then the equation of plane is vecr.(5hati-3hatj-2hatk)=38 .

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the point, where the line joining the points (1,3,4) and (-3,5,2)...

    Text Solution

    |

  2. Find the equation of the plane passing through the line of intersectio...

    Text Solution

    |

  3. If from a point P(a,b,c) perpendicular PA and PB are drawn to yz and z...

    Text Solution

    |

  4. If O be the origin and the coordinates of P be (1, 2, – 3), then find ...

    Text Solution

    |

  5. Find the equation of the plane which contains the line of intersection...

    Text Solution

    |

  6. Prove that the S.D. between a diagonal of a rectangular parallelopiped...

    Text Solution

    |

  7. What is the equation of the xy-plane?

    Text Solution

    |

  8. If a line makes an angle alpha, beta, gamma with x axis, y axis and z ...

    Text Solution

    |

  9. Write the direction cosines of the vector : 2hati+2hatj+3hatk

    Text Solution

    |

  10. Find the vector equation of the line (x+4)/3=(y+3)/7=(z-5)/2

    Text Solution

    |

  11. Find the equation of a st line through (3,1,-5) and equally inclined t...

    Text Solution

    |

  12. The distance of the point (2,3,-5) from the plane x+2y-2z-9=0 is ........

    Text Solution

    |

  13. Find the distance of the plane x-3y+2z-8=0 from the origin.

    Text Solution

    |

  14. Find the intercepts cut off by the plane x+4y-2z=8 with the axes.

    Text Solution

    |

  15. Find the equation of the plane with intercept 9 on the y axis and para...

    Text Solution

    |

  16. What is the point of intersection of the line x=y=z with the plane x+2...

    Text Solution

    |

  17. Distance between the two planes: 2x+3y+4z=4 and 4x+6y+8z = 12 is:

    Text Solution

    |

  18. The planes 2x - y + 4z = 5 and 5x - 2.5y + 10z = 6 are :

    Text Solution

    |

  19. The co-ordinates of foot of the perpendicular drawn from the point (2,...

    Text Solution

    |

  20. If alpha, beta, gamma are the angles that a line makes with the positi...

    Text Solution

    |