Home
Class 12
MATHS
If (2, 3, 5) is one end of a diameter...

If (2, 3, 5) is one end of a diameter of the sphere `x^2+""y^2+""z^2-6x-12 y-2z""+""20""=""0` , then the coordinates of the other end of the diameter are (1) `(4,""9,-3)` (2) `(4,-3,""3)` (3) `(4,""3,""5)` (4) `(4,""3,-3)`

Text Solution

Verified by Experts

center of circle`=(6/2,12/2,2/2)`
`=(3,6,1)`
`(x+2)/2=3,(y+3)/2=6,(z+5)/2=1`
`x=4,y=9,z=-3`
option`1`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|15 Videos

  • TRIGONOMETRIC FUNCTIONS

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|16 Videos

Similar Questions

Explore conceptually related problems

If (2, 3, 5) is one end of a diameter of the sphere x^(2)+y^(2)+z^(2)-6x-12y-2z+20=0 , then the coordinates of the other end of the diameter are

If one end of a diameter of the circle x^(2) + y^(2) -4x-6y +11=0 is (3, 4), then find the coordinates of the other end of the diameter.

If one end of a diameter of the circle x^(2)+y^(2)-4x-6y+11=0 is (3, 4), then find the coordinates of the other end of the diameter.

If (4, 1) be an end of a diameter of the circle x^2 + y^2 - 2x + 6y-15=0 , find the coordinates of the other end of the diameter.

If the coordinates of one end of a diameter of the circles x^(2)+y^(2)+4x-8y+5=0 is (2,1),, the coordinates of the other end is

If one end of a diameter of the circle 2x^(2)+2y^(2)-4x-8y+2=0 is (3,2), the other end is

JEE MAINS PREVIOUS YEAR-THREE DIMENSIONAL GEOMETRY-All Questions
  1. Let L be the line of intersection of the planes 2x""+""3y""+""z""="...

    Text Solution

    |

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

    Text Solution

    |

  3. If a line makes an angle of pi/4 with the positive directions of ea...

    Text Solution

    |

  4. The line passing through the points (5, 1, a) and (3, b, 1) crosses...

    Text Solution

    |

  5. If straight lines (x-1)/k=(y-2)/2=(z-3)/3 and (x-2)/3=(y-3)/k=(z-1)/2 ...

    Text Solution

    |

  6. Let the line (x-2)/3=(y-1)/(-5)=(z+2)/2 lie in the plane x""+""3y"...

    Text Solution

    |

  7. Statement-1: The point A(3, 1, 6) is the mirror image of the poi...

    Text Solution

    |

  8. A line AB in three-dimensional space makes angles 45^o and 120^o wi...

    Text Solution

    |

  9. Statement-1 : The point A(1, 0, 7) is the mirror image of the point B(...

    Text Solution

    |

  10. If the angle between the line x=(y-1)/2=(z-3)/lambda and the plane ...

    Text Solution

    |

  11. An equation of a plane parallel to the plane x""""2y""+""2z""""5""=""0...

    Text Solution

    |

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

    Text Solution

    |

  13. Distance between two parallel planes 2x""+""y""+""2z""=""8 and 4x"...

    Text Solution

    |

  14. If the lines (x-2)/1=(y-3)/1=(x-4)/(-k) and (x-1)/k=(y-4)/2=(x-5)/1 a...

    Text Solution

    |

  15. The angle between the lines whose direction cosines satisfy the equ...

    Text Solution

    |

  16. The image of the line (x-1)/3=(y-3)/1=(z-4)/(-5) in the plane 2x-y+...

    Text Solution

    |

  17. The equation of the plane containing the line 2x-5y""+""z""=""3;""x...

    Text Solution

    |

  18. The distance of the point (1, 0, 2) from the point of intersection ...

    Text Solution

    |

  19. The distance of the point (1,-5,""9) from the plane x-y+z=5 measured a...

    Text Solution

    |

  20. If the line, (x-3)/2=(y+2)/(-1)=(z+4)/3 lies in the plane, l x+m y-z=9...

    Text Solution

    |