Home
Class 12
MATHS
What is the distance of the origin from ...

What is the distance of the origin from the plane `x+6y-3z+7=0`?

A

1

B

2

C

3

D

6

Text Solution

Verified by Experts

The correct Answer is:
A
Required distance `=abs(2(0)+6(0)-3(0)+7)/sqrt((2)^2+(6)^2+(-3)^2)`
`abs7/sqrt(4+36+9)=abs(7/7)=1`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NDA PREVIOUS YEARS|Exercise Example|115 Videos

Similar Questions

Explore conceptually related problems

What is the distance of the origin from the plane 2x+6y-3z+7=0 ?

What is the distance of the point (2,3,4) from the plane 3x-6y + 2z + 11 = 0

What is the distance of the point (2,3,4) from the plane 3x-6y+2z+11=?

The perpendicular distance of the origin from the plane x-3y+4z=6 is ….

Find the distance of the point(1, 0, -3) from the plane x-y-z=9 measured parallel to the line, (x-2)/(2)=(y+2)/(3)=(z-6)/(-6) .

Find the perpendicular distance of origin from of the plane 6x-2y+3z -7=0

A plane P = 0 passing through the point (1, 1, 1) is perpendicular to the planes 2x-y+2z=5 and 3x+6y-2z=7 . If the distance of the point (1, 2, 3) from the plane P = 0 is k units, then the value of 34k^(2) is equal to

If the perpendicular distance of point A other than origin from the plane x+y+z=k is equal to the distance of the plane from the origin ,then A -=

NDA PREVIOUS YEARS-3-D GEOMETRY-MCQ
  1. If the line through the points A (k,1,-1) and B(2k,0,2) is perpendicul...

    Text Solution

    |

  2. The two planes ax+by+cz+d=0 and ax+by+cz+d=0 where d ne d1, have

    Text Solution

    |

  3. What is the distance of the origin from the plane x+6y-3z+7=0?

    Text Solution

    |

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

    Text Solution

    |

  5. What is the radius of the sphere x^2+y^2+z^2-x-y-z=0?

    Text Solution

    |

  6. Consider the following relations among the angles alpha,beta and gamma...

    Text Solution

    |

  7. Which one of the following points lies on the plane 2x+3y-6z=21?

    Text Solution

    |

  8. What is the angle between the lines whose direction cosines are propor...

    Text Solution

    |

  9. What is the locus of points of intersection of a sphere and a plane ?

    Text Solution

    |

  10. What is the angle between two planes 2x-y+z=4 and x+y+2z=6?

    Text Solution

    |

  11. What is the equation of the plane passing through point (1,-1,-1) and ...

    Text Solution

    |

  12. The equation to sphere passing throrugh origin and the points (-1,0,0)...

    Text Solution

    |

  13. If a line makes the angles alpha,beta,gamma with the axes, then what i...

    Text Solution

    |

  14. What are the direction ratios of normal to the plane 2x-y+2z+1=0?

    Text Solution

    |

  15. What is the cosines of angle between the planes x+y+z+1=0 and 2x-2y+2z...

    Text Solution

    |

  16. What is the sum of the squares of direction cosines of the line joinin...

    Text Solution

    |

  17. What is the diameter of the sphere x^2+y^2+z^2-4x+6y-8z-7=0

    Text Solution

    |

  18. If the distance between the points (7,1,-3) and (4,5,lambda) is 13 un...

    Text Solution

    |

  19. If O be the origin and OP=r and OP makes an angle theta with the posit...

    Text Solution

    |

  20. What is the distance of the point (1,2,0) from yz-plane is :

    Text Solution

    |