Home
Class 12
MATHS
If the centre of the sphere ax^2+by^2...

If the centre of the sphere
`ax^2+by^2+cx^2-2x+4y+2z-3=0" is " (1//2,-1,1//2)`, what is the value of b?

A

1

B

`-1`

C

2

D

`-2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

  • THREE DIMENSIONAL GEOMETRY

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

  • STRAIGHT LINES AND PAIR OF STRAIGHT LINES

    DISHA PUBLICATION|Exercise EXERCISE 2: CONCEPT APPLICATOR|30 Videos

  • TRIGONOMETRIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE-2|30 Videos

Similar Questions

Explore conceptually related problems

Find the centre and radius of the sphere 2x^2+2y^2+2z^2-2x-4y+2z+3=0 .

What is the centre of the sphere ax^2+by^2+cz^2-6x=0 if the radius is 1 unit?

What is the centre of the sphere ax^2+by^2+cz^2-6x=0 if the radius is 1 unit?

The distance of the centre of the sphere x^2 + y^2 + z^2 - 2x - 4y = 0 from the origin is

the centre and radius of the sphere 2x^(2)+2y^(2)+2z^(2)-2x+4y+2z+1=0 are respectively?

If the plane 3x - 4y + 5z = 0 is parallel to (2x-1)/4=(1-y)/(_3)=(z-2)/a , then the value of a is

If the plane 2ax-3ay+4az+6=0 passes through the midpoint of the line joining centres of the spheres x^2+y^2+z^2+6x-8y-2z=13 and x^2+y^2+z^2-10x+4y-2z=8 then a equals (A) -1 (B) 1 (C) -2 (D) 2

If the plane 2ax-3ay+4az+6=0 passes through the midpoint of the line joining centres of the spheres x^2+y^2+z^2+6x-8y-2z=13 and x^2+y^2+z^2-10x+4y-2z=8 then a equals (A) 2 (B) -2 (C) 1 (D) -1

DISHA PUBLICATION-THREE DIMENSIONAL GEOMETRY -Exercise -1 : Concept Builder (Topicwise)
  1. For what value (s) of a will the two points (1,a ,1)a n d(-3,0,a) l...

    Text Solution

    |

  2. A vector vecn is inclined to x-axis at 45^(@), to y-axis at 60^(@) and...

    Text Solution

    |

  3. A variable plane which remains at a constant distance 3p from the orig...

    Text Solution

    |

  4. The ratio in which the join of the points A(2,1,5) and B(3,4,3) is div...

    Text Solution

    |

  5. For the l:(x-1)/3=(y+1)/2=(z-3)/(-1) and the plane P:x-2y-z=0 of the f...

    Text Solution

    |

  6. Find an equation or the line that passes through the point P(2,\ 3,\ 1...

    Text Solution

    |

  7. The value of m for which straight line 3x-2y+z+3=0=4x-3y+4z+1 is paral...

    Text Solution

    |

  8. The distance between the line vecr=2hati-2hatj+3hatk+lamda(hati-hatj...

    Text Solution

    |

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

    Text Solution

    |

  10. If Q is the image of the point P(2,3,4) under the reflection in the p...

    Text Solution

    |

  11. The distance of the point (-5,-5,-10) from the point of intersection o...

    Text Solution

    |

  12. A plane passes through a fixed point (a ,b ,c)dot The locus of the ...

    Text Solution

    |

  13. If the centre of the sphere ax^2+by^2+cx^2-2x+4y+2z-3=0" is " (1//2...

    Text Solution

    |

  14. If the plane 2ax-3ay+4az+6=0 passes through the mid point of the line ...

    Text Solution

    |

  15. The radius of the circle in which the sphere x^2+y^2+z^2+2x-2y-4z-19=0...

    Text Solution

    |

  16. From the point (1,-2,3) lines are drawn to meet the sphere x^2+y^2+z^2...

    Text Solution

    |

  17. Show that the plane 2x-2y+z+12=0 touches the sphere x^2+y^2+z^2-2x-4+2...

    Text Solution

    |

  18. If the plane 2ax - 3ay + 4az + 6 = 0 passes through the midpoint of t...

    Text Solution

    |

  19. The equation of the sphere circumscribing the tetrahedron whose faces ...

    Text Solution

    |

  20. Circles of radii 3 and 4 intersect orthogonally The area common to the...

    Text Solution

    |