Home
Class 12
MATHS
The radius of the circle in which the sp...

The radius of the circle in which the sphere `x^(2)=y^(2)+z^(2)+2z-2y-4z-19=0` is cut by the plane `x+2y+2z+7=0` is

A

`2`

B

`3`

C

`4`

D

`1`

Text Solution

Verified by Experts

The correct Answer is:
(b)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|28 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|14 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 4|7 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 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 .

The plane x+2y-z=4 cuts the sphere x^(2)+y^(2)+z^(2)-x+z-2=0 in a circle of radius

Find the angle between the lines in which the planes: 3x-7y-5z=1, 5x-13y+3z+2=0 cut the plane 8x-11y+2z=0 .

Prove that the line of section of the planes 5x+2y-4z+2=0 and 2x+8y+2z-1=0 is parallel to the plane 4x-2y-5z-2=0.

Find the equation of the plane through the intersection of the planes x+y+z=1 and 2x+3y+4z=5 which is perpendicular to the plane x-y+z=0

Find the equation the equation of sphere concentric with sphere 2x^2+2y^2+2z^2-6x+2y-4z=1 but double its radius.

Find the equation of the plane passing through the point (1,1,-1) and perpendicular to each of the planes : x+2y+3z-7=0 and 2x-3y+4z=0

Find the equation of the plane through the line of intersection of the planes: x+3y-z+1=0 and x+y-2z+3=0 and perpendicular to the plane 3x-y-2z-4=0

Find the projection of the line (x-1)/2=(y+1)/-1=(z-3)/4 in the plane x+2y+z-9=0 .

The lines x=y=z meets the plane x+y+z=1 at the point P and the sphere x^2+y^2+z^2=1 at the point R and S, then

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
  1. Let P(3, 2, 6) be a point in space and Q be a point on line vecr= (hat...

    Text Solution

    |

  2. A plane makes intercepts OA, OB and OC whose measurements are b and c ...

    Text Solution

    |

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

    Text Solution

    |

  4. Let veca=hati+hatj and vecb=2hati-hatk. Then the point of intersection...

    Text Solution

    |

  5. The coordinates of the point P on the line vec r=( hat i+ hat j+ ha...

    Text Solution

    |

  6. Find 3-dimensional vectors vec v1,vec v2,vec v3 satisfying vec v1* ve...

    Text Solution

    |

  7. The position vectors of points a and b are hat(i)-hat(j)+3hat(k) and 3...

    Text Solution

    |

  8. A, B, C and D are four points in space. Using vector methods, prove th...

    Text Solution

    |

  9. Find the value of x Equation is x+2=9

    Text Solution

    |

  10. If the three planes rcdotn1=p1, rcdotn2=p2 and rcdotn3=p3 have a commo...

    Text Solution

    |

  11. A pentagon is formed by cutting a triangular corner from a rectangular...

    Text Solution

    |

  12. In a three-dimensional coordinate system, P ,Q ,a n dR are images o...

    Text Solution

    |

  13. A plane 2x+3y+5z=1 has a point P which is at minimum distance from lin...

    Text Solution

    |

  14. Evaluate int x^5 dx

    Text Solution

    |

  15. A cube C={(x, y, z)|o le x, y, zle1} is cut by a sharp knife along the...

    Text Solution

    |

  16. A ray of light is sent through the point P(1,2,3) and is reflected on ...

    Text Solution

    |

  17. Find dy/dx if 2x-3sinx=2y

    Text Solution

    |

  18. The shortest distance between any two opposite edges of the tetrahedro...

    Text Solution

    |

  19. The angle between the pair of planes represented by equation 2x^(2)-2y...

    Text Solution

    |

  20. Find the value of x Equation is x+1=1

    Text Solution

    |