Home
Class 12
MATHS
A variable line ax+by+c=0 , where a, b, ...

A variable line ax+by+c=0 , where a, b, c are in A.P. is normal to a circle `(x-alpha)^2+(y-beta)^2=gamma`, which is orthogonal to circle `x^2+y^2-4x-4y-1=0` .The value of `alpha + beta+ gamma` is equal to

A

3

B

5

C

10

D

7

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    FIITJEE|Exercise Assignment Problems (Objective) Level -II|15 Videos

  • CIRCLE

    FIITJEE|Exercise COMPREHENSIONS|8 Videos

  • CIRCLE

    FIITJEE|Exercise Assignment Problems (Subjective ) Level -II|13 Videos

  • AREA

    FIITJEE|Exercise Numerical Based|3 Videos

  • COMPLEX NUMBER

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

If alpha beta gamma are roots of x^(3)+x^(2)-5x-1=0 then alpha + beta + gamma is equal to

If alpha beta gamma are the roots of x^3+x^2-5x-1=0 then alpha+beta+gamma is equal to

If alpha ,beta ,gamma are roots of x^(3)+x^(2)-5x-1=0 then [alpha] + [beta] +[ gamma ] is equal to

alpha,beta,gamma roots of 4x^(3)+8x^(2)-x-2=0 ,then value of (4(alpha+1)(beta+1)(gamma+1))/(alpha beta gamma) is

If alpha,beta,gamma are the roots of x^(3)+2x^(2)-x-3=0 The value of |{:(alpha, beta ,gamma),(gamma,alpha ,beta),(beta,gamma ,alpha):}| is equal to

alpha,beta, gamma roots of 4x^(3)+8x^(2)-x-2=0 then value of (4(alpha+1)(beta+1)(gamma+1))/(alpha beta gamma)

If alpha, beta, gamma are roots of x^(3)-2x^(2)+7x-1=0 then the value of (alpha+beta-gamma) (beta+gamma-alpha) (alpha+gamma-beta)

If (alpha,beta) is the centre of the circle which touches the curve x^(2)+xy-y^(2)=4 at (2,2) and the line 3x-y+6=0 ,then the value of alpha+beta is equal to

FIITJEE-CIRCLE-Assignment Problems (Objective) Level -I
  1. If the length of the tangents from any point on the circle 15x^(2)+15y...

    Text Solution

    |

  2. ) Six points(x,yi),i=1,2, ,.., 6 are taken on the circle x4 such that ...

    Text Solution

    |

  3. The circles x^2+y^2+x+y=0 and x^2+y^2+x-y=0 intersect at an angle of

    Text Solution

    |

  4. The centers of a set of circles, each of radius 3, lie on the circle x...

    Text Solution

    |

  5. The chords of contact of the pair of tangents drawn from each point on...

    Text Solution

    |

  6. Equation of a circle S(x,y)=0 , (S(2,3)=16) which touches the line 3x+...

    Text Solution

    |

  7. Find the number of common tangents that can be drawn to the circles...

    Text Solution

    |

  8. Equation of the straight line meeting the cirle with centre at origin ...

    Text Solution

    |

  9. If y=f(x)=ax+b is a tangent to circle x^2+y^2+2x+2y-2=0 then the value...

    Text Solution

    |

  10. Let AB be a chord of the circle x^(2) +y^(2) =r^(2) subtending a right...

    Text Solution

    |

  11. Three parallel chords of a circle have lengths 2,3,4 units and subtend...

    Text Solution

    |

  12. A variable point P is on the circle x^2+y^2=1 on XY-plane. From point...

    Text Solution

    |

  13. The equation of chord AB of the circle x^2+y^2=r^2 passing through t...

    Text Solution

    |

  14. Two circle S1=0,S2=0 of equal radius 'r' intersect such that one circl...

    Text Solution

    |

  15. Two circles are given as x^2+y^2+14x-6y+40=0 and x^2+y^2-2x+6y+7=0 wi...

    Text Solution

    |

  16. A variable line ax+by+c=0 , where a, b, c are in A.P. is normal to a c...

    Text Solution

    |

  17. Let BC to be chord of contact of the tangents from a point A to the ci...

    Text Solution

    |

  18. A circle (x-2)^2+(y-3)^2=16 is given for which two lines L1:2x+3y=7 a...

    Text Solution

    |

  19. Statement-1:If the line y=x+c intersects the circle x^2+y^2=r^2 in two...

    Text Solution

    |

  20. Statement-1: The circle of smallest radius passing through two given p...

    Text Solution

    |