Home
Class 12
MATHS
The foot of the perpendicular from the p...

The foot of the perpendicular from the point A(7,14,5) to the plane `2x+4y-z=2` is

A

(13 ,26 ,8)

B

`(-13,-26 ,8 )`

C

(1 , 2, 8)

D

`(-1, -2 ,-8)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|276 Videos

  • PROBABILITY DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQs|127 Videos

Similar Questions

Explore conceptually related problems

Find the length and the foot of the perpendicular from the point P(7,14,5) to the plane (2x+4y-z=2). Also, find the image of the point P in the plane.

(I) Find the foot and length of the perpendicular from the point (3,4,5) to the plane : 2 x - 5y + 3z = 39 . (ii) Find the length and the foot of the perpendicular from the point (7,14,5) to the plane 2x + 4y - z = 2 .

Find the length and the foot of the perpendicular from the point (7,\ 14 ,\ 5) to the plane 2x+4y-z=2. Also, the find image of the point P in the plane.

The foot of the perpendicular from the point P(1,3,4) to the plane 2x-y+z+3=0 is

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.

Find the coordinates of the foot of the perpendicular from the point (1, 1, 2) to the plane 2x-2y+4z+5=0. Also the find the length of the 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 .

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=

The foot of the perpendicular drawn from the point (7, 8) to the line 2x + 3y – 4 = 0 is -

Find the foot of the perpendicular drawn from the point (-1, 3, -6) to the plane 2x +y -2z + 5 =0 Also find the equation and length of the perpendicular

NIKITA PUBLICATION-PLANE-MULTIOLE CHOICE QUESTIONS
  1. The disatance of the point (1, 0, 2) from the point of intersection of...

    Text Solution

    |

  2. If plane passes through the point (1, 1,1) and is perpendicular to the...

    Text Solution

    |

  3. The foot of the perpendicular from the point A(7,14,5) to the plane 2x...

    Text Solution

    |

  4. Find the length and the foot of the perpendicular from the point (7...

    Text Solution

    |

  5. The equation of line passing through the point (2, 3, 4) and perpendic...

    Text Solution

    |

  6. Find the angles at which the normal vector to tehplane 4x+8y+z=5 is in...

    Text Solution

    |

  7. Find the angles at which the normal vector to tehplane 4x+8y+z=5 is in...

    Text Solution

    |

  8. The angle at which the normal vector to the plane 4x+8y+z=5 inclined ...

    Text Solution

    |

  9. The angle between the line of intersection of planes barr.(hati+3hatj-...

    Text Solution

    |

  10. The angle between the line of intersection of planes barr.(hati+3hatj-...

    Text Solution

    |

  11. The angle between the line of intersection of planes barr.(hati+3hatj-...

    Text Solution

    |

  12. Find the angle between the planes whose vector equations are barr ...

    Text Solution

    |

  13. The angle between planes barr.(2hati+hatj-hatk)=3andbarr.(hati+2hatj+h...

    Text Solution

    |

  14. If the angle between the planes r.(mhati-hatj+2hatk)+3=0 and r*(2hati-...

    Text Solution

    |

  15. The acute angle between the two planes x + y + 2z = 3 and 3x - 2y ...

    Text Solution

    |

  16. The angle between planes 3x-6y+2z=8and2x+2y-2z=10 is

    Text Solution

    |

  17. The angle between planes 3x-6y+2z=8and 2x+2y-2z=10 is

    Text Solution

    |

  18. If the planes ax+by+cz+d=0anda(1)x+b(1)y+c(1)z+d(1)=0 be mutually perp...

    Text Solution

    |

  19. The value of k for which the planes 3x-6y-2z=7 and 2x+y-kz=5 areperpen...

    Text Solution

    |

  20. If the planes 3x-2y+2z+17=0 and 4x+3y-kz=25 are mutually perpendicul...

    Text Solution

    |