Home
Class 11
MATHS
The centre and radius of the sphere (ba...

The centre and radius of the sphere `(bar r-3bari-4barj+5bark)*(barr-2bari+3barj-4bark)=0` are

A

`5bari+barj-bark, sqrt(139)`

B

`(1)/(2) (5bari+barj-bark), (sqrt(131))/(2)`

C

`bari+7barj-9bark, sqrt(27)`

D

`(1)/(2) (bari+7barj-9bark), sqrt(79)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise CROSS PRODUCT OF TWO VECTORS|17 Videos
  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise MULTIPLE PRODUCT OF TWO VECTORS|21 Videos
  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise PROPERTIES OF VECTORS|17 Videos
  • 3D-COORDINATE SYSTEM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|40 Videos
  • CHANGE OF AXES

    AAKASH SERIES|Exercise Practice Exercise|29 Videos

Similar Questions

Explore conceptually related problems

The radius of the sphere (barr-2bari+3barj-bark). (barr+3bari-barj+2bark)=0 is

(bari-barj) xx (barj-bark).(bark-bari) =

[bari-barj bark]+[-bari-barj bark]+[bari-bark bark] =

If the position vector of one end A of a diameter AB of the sphere |barr-(2bari-barj+4bark)|=5 is (bari+2barj-bark) , the position vector of B is

Find the equation of the plane passing through the line of intersection of the planes barr.(bari+barj+bark) =1 and barr.(2bari+3barj-bark)+4 =0 and parallel to X-axis.

Prove that the vectors bara= 2bari - barj + bark, barb = bari -3barj -5bark and barc=3bari -4barj -4bark are coplanar.

Find the vector equation of the plane passing through the intersection of the planes barr.(bari +barj+bark) = 6 and barr. (2bari+3barj+bark) = -5 " and the point " (1,1,1) .

Arrangement of raddi of the following spheres in de-scendin order is A: vecr^(2)-2 vecr* (7 bari-4barj+bark)-28=0 B: |barr-(4bari+3barj+4bark)| = sqrt(28) C: (barr+2bari-barj+bark)*(barr-bari+barj-2bark)=0

Show that the vectors bari+barj+bark,bari+barj,3bari+3barj+bark are coplaner

AAKASH SERIES-APPENDICES (REVISION EXERCISE)-DOT PRODUCT OF TWO VECTORS
  1. Let veca=2hati-hatj +hatk, vecb=hati+2hatj-hatk and vecc=hati+hatj-2h...

    Text Solution

    |

  2. Equation of sphere whose centre is at 7bari-4barj+bark and radius |3b...

    Text Solution

    |

  3. The cartesian equation of the sphere whose centre is C(5, 2, 3) and w...

    Text Solution

    |

  4. The centre and radius of the sphere r^(2) - 2r. (3i + 4j - 5k) + 1 = 0...

    Text Solution

    |

  5. Equation of the sphere described on the join of the points bara=2bari+...

    Text Solution

    |

  6. The radius of the sphere (barr-2bari+3barj-bark). (barr+3bari-barj+2b...

    Text Solution

    |

  7. The cartesian equation of the sphere whose diameter end points are A(1...

    Text Solution

    |

  8. Arrangement of raddi of the following spheres in de-scendin order is ...

    Text Solution

    |

  9. The cartesian equation of the sphere with centre (2, -1, 3) and radi...

    Text Solution

    |

  10. Radius of the sphere r^(2) -2r.(3i+4j-5k)+1=0 is

    Text Solution

    |

  11. Positiion vector of centre of the sphere barr^(2)-barr.(bari+barj+bar...

    Text Solution

    |

  12. The centre and radius of the sphere (bar r-3bari-4barj+5bark)*(barr-2...

    Text Solution

    |

  13. If 2bari and 4bark are the position vectors of the extremities of a di...

    Text Solution

    |

  14. If the position vector of one end A of a diameter AB of the sphere |ba...

    Text Solution

    |

  15. For a sphere, ends of a diameter have position vectors bara and -bara,...

    Text Solution

    |

  16. If |barc|^(2)=60 and barc xx (bari+2barj+5bark)=bar0 then a value of b...

    Text Solution

    |

  17. If barx, bary, barz are three unnit vectors in three - dimensional spa...

    Text Solution

    |

  18. |bara|=2, |barb|=3 and |2bara-barb|=5 then |2bara+barb| equals:

    Text Solution

    |

  19. A vector barn is inclined to x-axis at 45^(0), to y-axis at 60^(0) and...

    Text Solution

    |

  20. If bara, barb, barc are unit vectors satisfying bara-sqrt(3)barb+barc=...

    Text Solution

    |