Home
Class 12
MATHS
Find the equation of the sphere which pa...

Find the equation of the sphere which passes through the point (1,0,0),(0,1,0) and 90,0,1)` and has its radus as small as possible.

A

`3sumx^(2)-2sumx-1=0`

B

`sumx^(2)-2sumx-1=0`

C

`3sumx^(2)-2sumx+1=0`

D

`sumx^(2)-sumx+1=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE(TRUE AND FALSE)|27 Videos

  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE( FILL IN THE BLANKS)|16 Videos

  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise PROBLEM SET (3)|50 Videos

  • BINOMIAL THEOREM AND MATHEMATICAL INDUCTION

    ML KHANNA|Exercise Self Assessment Test |35 Videos

  • COMPLEX NUMBERS

    ML KHANNA|Exercise Assertion / Reason |2 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the sphere which passes through the point (1,0,0),(0,1,0) and (0,0,1) and has its radius as small as possible.

Find the equation of the circle that passes through the points (1,0),(-1,0) and (0,1)

Find the equation of a sphere which passes through (1,0,0)(0,1,0) and (0,0,1) and has radius as small as possible.

Find the equation to the circles which pass through the points : (i) (0,0),(a,0) and (0,b)

Find the equation of the sphere which passing through the points (0,0,0),(0,1,-1),(-1,2,0) and (1,2,3).

The equation the circle which passes through the points (1,0),(0,-6) and (3,4) is

Find the vector equation of the plane passing through the points (0,0,0),(0,5,0) ,and (2,0,1) .

Find the equation of a plane passing through the points A(a,0,0), B(0,b,0) and C(0,0,c) .

Find the equation of the sphere passing through (0, 0, 0), (1, 0, 0), (0, 1, 0) and (0, 0, 1) .

ML KHANNA-CO-ORDINATE GEOMETRY OF THREE DIMENSION-PROBLEM SET (4)
  1. The equation of the sphere circumscribing the tetrahedron whose faces ...

    Text Solution

    |

  2. If a sphere of constant radius k passes through the origin and meets t...

    Text Solution

    |

  3. The plane x/a+y/b+z/c=1 meets the coordinate axes at A,B and C respect...

    Text Solution

    |

  4. A sphere of constant radius 2k passes through the origin and meets ...

    Text Solution

    |

  5. The center of the sphere which passes through (a,0,0),(0,b,0),(0,0,c) ...

    Text Solution

    |

  6. Find the equation of the sphere which passes through the point (1,0,0)...

    Text Solution

    |

  7. The plane 2x-2y+z+12=0 touches the sphere x^(2)+y^(2)+z^(2)-2x-4y+2z-3...

    Text Solution

    |

  8. The equation of the sphere concentric with the sphere x^(2)+y^(2)+z^(2...

    Text Solution

    |

  9. Equation of the sphere with center (1,-1,1) and radius equal to that o...

    Text Solution

    |

  10. If (2, 3, 5) is one end of a diameter of the sphere x^(2)+y^(2)+z^(2)-...

    Text Solution

    |

  11. If (2, 3, 5) is one end of a diameter of the sphere x^(2)+y^(2)+z^(2)-...

    Text Solution

    |

  12. Find the number of sphere of radius r touching the coordinate ax...

    Text Solution

    |

  13. The radius of the circular section of the sphere x^(2)+y^(2)+z^(2)=25 ...

    Text Solution

    |

  14. The radius of the circle in which the sphere x^(I2)+y^2+z^2+2z-2y-4...

    Text Solution

    |

  15. The center of the circle x^(2)+y^(2)+z^(2)-3x+4y-2z-5=0 and 5x-2y +4...

    Text Solution

    |

  16. The center of a sphere which touches the lines y=x,z=c and y=-x,z=-c l...

    Text Solution

    |

  17. The shortest distance from the plane 12 x+y+3z=327 to the sphere x^...

    Text Solution

    |

  18. The intersection of the spheres x^2+y^2+z^2+7x-2y-z=13a n dx^2+y^2=...

    Text Solution

    |

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

    Text Solution

    |