Home
Class 12
MATHS
Find the equation of a sphere whose c...

Find the equation of a sphere whose centre is `(3,1,2)` radius is `5.`

Text Solution

Verified by Experts

The equation of the sphere whose centre is (3, 1, 2) and radius is 5 is
`" "(x-3)^(2)+(y-1)^(2)+(z-2)^(2)=5^(2)`
or `" "x^(2)+y^(2)+z^(2)-6x-2y-4z-11=0`
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    CENGAGE PUBLICATION|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise ARCHIVES INTEGER TYPE|1 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the circle with centre (-3,2) and radius 4 .

Find the equation of the circle with centre at (0,0) and radius r .

Find the equation of hyperbola : Whose center is (3, 2), one focus is (5, 2) and one vertex is (4, 2)

In each of the following find the equation of the circle with centre (0,2) and radius 2

Find the equation of the parabola whose vertex is (-1, 3) and focus is (3, -1) .

Find the equation of hyperbola, whose center is (-3,2), one vertex is (-3,4) and eccentricity is 5/2dot

In each of the following find the equation of the circle with centre (1,1) and radius sqrt(2)

Find the equation of the hyperbola whose eccentricity is 3, focus is (-1,1) and equation of directrix is x - y + 3 = 0.

Find the equation of the ellipse whose eccentricity is (1)/(2) , focus is (-1,1) , directrix is x - y + 3 = 0 .

Find the equation of the circle whose centre is the points (2,-3) and radius 5 units.

CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. Find the equation of the sphere which has centre at the origin and tou...

    Text Solution

    |

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

    Text Solution

    |

  3. Find the equation of a sphere whose centre is (3,1,2) radius is 5.

    Text Solution

    |

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

    Text Solution

    |

  5. Find the image of the line (x-1)/(9)=(y-2)/(-1)=(z+3)/(-3) in the plan...

    Text Solution

    |

  6. Find the equations of the bisectors of the angles between the plane...

    Text Solution

    |

  7. If the x-coordinate of a point on the join of P(2,2,1)a n dQ(5,1,-2...

    Text Solution

    |

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

    Text Solution

    |

  9. A variable plane passes through a fixed point (a ,b ,c) and cuts the...

    Text Solution

    |

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

    Text Solution

    |

  11. If O is the origin, OP = 3, with direction ratios -1, 2 and -2, then f...

    Text Solution

    |

  12. If P(x,y,z) is a point on the line segment joining Q(2,2,4) and R(3,5,...

    Text Solution

    |

  13. If vecr is a vector of magnitude 21 and has direction ratios 2, -3 an...

    Text Solution

    |

  14. Find the distance of the point P(a ,b ,c) from the x-axis.

    Text Solution

    |

  15. A line makes angles alpha,betaa n dgamma with the coordinate axes. If ...

    Text Solution

    |

  16. If a line makes angles alpha,betaa n dgamma with three-dimensional c...

    Text Solution

    |

  17. Find the distance between the parallel planes x+2y-2z+1=0a n d2x+4y...

    Text Solution

    |

  18. A ray of light passing through the point A(1,2,3) , strikews the pl...

    Text Solution

    |

  19. The plane a x+b y=0 is rotated through an angle alpha about its line...

    Text Solution

    |

  20. Find the equation of a plane containing the line of intersection of...

    Text Solution

    |