Home
Class 12
MATHS
If the sum of the squares of the distanc...

If the sum of the squares of the distances of a point from the three coordinate axes be `36`, then its distance from the origin is :

A

6

B

`3sqrt(2)`

C

`2sqrt(3)`

D

`5sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LINE

    TARGET PUBLICATION|Exercise Competitive Thinking|45 Videos

  • LINE

    TARGET PUBLICATION|Exercise Evaluation Test|1 Videos

  • LINE

    TARGET PUBLICATION|Exercise Evaluation Test|1 Videos

  • INTEGRATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|29 Videos

  • LINEAR PROGRAMMING

    TARGET PUBLICATION|Exercise Evaluation Test|11 Videos

Similar Questions

Explore conceptually related problems

If the sum of the squares of the distance of a point from the three coordinate axes is 36, then find its distance from the origin.

Find the distances of the point P(-4,3,5) from the coordinate axes.

The distance of the point (0,-2) from the origin is

The distance of the point p(3,4) from the origin is

The distance of the points (8,6) from the origin is

Find the distance of point (5, -7) from the origin.

The distance of point A(-5,6) from the origin is :

Find distance of point (-4,3) from the origin.

Find the distance of the point (6,-6) from the origin

A point p is such that the sum of squares of its distance from the axes of coordinates is equal to the square of its distance from the line x-y=1. Find the locus of P

TARGET PUBLICATION-LINE-Critical Thinking
  1. The lines vecr=(2hati-3hatj+7hatk)+lamda(2hati+phatj+5hatk) and ve...

    Text Solution

    |

  2. If the lines (x-1)/(2)=(y-1)/(lambda)=(z-3)/(0) and (x-2)/(1)=(y-3)/...

    Text Solution

    |

  3. The lines and (x-1)/(3)=(y-2)/(4)=(z-3)/(5) (x-1)/(2)=(y-2)/(3)=(z-3)...

    Text Solution

    |

  4. Let veca=hati+hatj and vecb=2hati-hatk. Then the point of intersection...

    Text Solution

    |

  5. If the sum of the squares of the distances of a point from the three c...

    Text Solution

    |

  6. The foot of perpendicular from the point (1,2,3) to the line (x)/(2)=(...

    Text Solution

    |

  7. The co-ordinates of the foot of the perpendicular from the point (3,-1...

    Text Solution

    |

  8. Find the foot of the perpendicular from the point (0,2,3) on the line ...

    Text Solution

    |

  9. The length of perpendicular from the origin to the line vecr=(4hati=2h...

    Text Solution

    |

  10. The length of the perpendicular drawn from the point (5,4,-1) on the l...

    Text Solution

    |

  11. The length of perpendicular from (2, -1, 5) to the line (x-11)/(10)=(y...

    Text Solution

    |

  12. The co-ordinates of a point on the line (x-1)/(2)=(y+1)/(-3)=z at a di...

    Text Solution

    |

  13. A line passes through two points A(2,-3,-1) and B(8,-1,2). The coordin...

    Text Solution

    |

  14. Find the equation of the perpendicular drawn from the point (2,4,-1) t...

    Text Solution

    |

  15. Two lines (x)/(1)=(y)/(2)=(z)/(3)and(x+1)/(1)=(y+2)/(2)=(z+3)/(3) are

    Text Solution

    |

  16. Find the shortest distance between the following pair of line: vecr=(1...

    Text Solution

    |

  17. The shortest distance between lines barr=(lambda-1)hati+(lambda+1)hatj...

    Text Solution

    |

  18. If the lines (x-1)/(k)=(y+1)/(3)=(z-1)/(4)and(x-3)/(1)=(2y-9)/(2k)=(z)...

    Text Solution

    |

  19. Find the angle between the line: vecr=4hati-hatj+lamda(hati+2hatj-2hat...

    Text Solution

    |

  20. A line segment has length 63 and direction ratios are 3, -2, 6. The ...

    Text Solution

    |