Home
Class 11
MATHS
If equation of a circle is (4a - 3) x^(...

If equation of a circle is ` (4a - 3) x^(2) +ay^(2) + 6x - 2y + 2 = 0 `,
then its centre is

A

`(3,-1)`

B

`(3,1)`

C

`(-3,1)`

D

`(-3,-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLE AND CONICS

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQs|50 Videos

  • CIRCLE AND CONICS

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQs|50 Videos

  • BERNOULLI TRIALS AND BINOMIAL DISTRIBUTION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|79 Videos

  • PROBABILITY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|239 Videos

Similar Questions

Explore conceptually related problems

Let the equation of circle is x^(2) + y^(2) - 6x - 4y + 9 = 0 . Then the line 4x + 3y - 8 = 0 is a

Let the equation of circle is x ^(2) + y ^(2) - 6x + 4y + 12=0. Then the line 3x - 4y + 5 is a

Equation of a circle is 3x^(2) - 4y^(2) - 6x -21=0 then the INCORRECT statement about this conic is

If the equation (4a-3)x^(2)+ay^(2)+6x-2y+2=0 represents a circle,then its centre is a.(3,-1) b.(3,1) c.(-3,1) d.none of these

If the equation of a circle is lambda x^(2)+(2 lambda-3)y^(2)-4x+6y-1=0, then the coordinates of centre are

Equation of a circle passing through origin is x^(2) + y^(2) - 6x + 2 y = 0 . What is the equation of one of its diameter ?

(i) Find the equation of a circle , which is concentric with the circle x^(2) + y^(2) - 6x + 12y + 15 = 0 and of double its radius. (ii) Find the equation of a circle , which is concentric with the circle x^(2) + y^(2) - 2x - 4y + 1 = 0 and whose radius is 5. (iii) Find the equation of the cricle concentric with x^(2) + y^(2) - 4x - 6y - 3 = 0 and which touches the y-axis. (iv) find the equation of a circle passing through the centre of the circle x^(2) + y^(2) + 8x + 10y - 7 = 0 and concentric with the circle 2x^(2) + 2y^(2) - 8x - 12y - 9 = 0 . (v) Find the equation of the circle concentric with the circle x^(2) + y^(2) + 4x - 8y - 6 = 0 and having radius double of its radius.

Find the equation of the circle which is concentric with the circle x^(2) + y^(2) - 6x - 4y- 3 = 0 , and has radius 5.

The equation of the circle which passes through the points of intersection of the circles x^(2)+y^(2)-6x=0 and x^(2)+y^(2)-6y=0 and has its centre at (3/2, 3/2), is

MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. Equation of circle , concentric with circle x^(2) + y^(2) - 6x + 12...

    Text Solution

    |

  2. Equation of circle which touches line x = y at the origin , and passe...

    Text Solution

    |

  3. If equation of a circle is (4a - 3) x^(2) +ay^(2) + 6x - 2y + 2 = 0 ,...

    Text Solution

    |

  4. If the equation 3x^(2) + 3y^(2) + kxy + 9x + (k - 6) y + 3 = 0 rep...

    Text Solution

    |

  5. Equation x^(2) + y^(2) - 8x + 6y + 25 = 0 represents

    Text Solution

    |

  6. If lines 12 x + 5y + 16 = 0 " and " 12 x + 5y - 10 = 0 both touch ...

    Text Solution

    |

  7. Abscissas and ordinates of points A and B are roots of equation x^(...

    Text Solution

    |

  8. Two points on the circle x^(2) + y^(2) - 12x - 16y + 75 = 0 , one ...

    Text Solution

    |

  9. Two circles x^(2) + y^(2) - 2x - 4y = 0 and x^(2) + y^(2) - 8y...

    Text Solution

    |

  10. If circles x^(2) + y^(2) = 9 " and " x^(2) + y^(2) + 2ax + 2y + 1 = ...

    Text Solution

    |

  11. If lines 3x - 4y + 4 = 0 " and " 6x - 8y - 7 = 0 touch the same c...

    Text Solution

    |

  12. If circles x^(2) + y^(2) - 3x + ky - 5 = 0 " and " 4x^(2) + 4y^(2) - ...

    Text Solution

    |

  13. Centre of circle , passing through (0,0) ,(a,0) and (0,b) , is

    Text Solution

    |

  14. If line 2x - y + k = 0 is a diameter of circle x^(2) + y^(2) + 6...

    Text Solution

    |

  15. Determine equation of the circle whose diameter is the chord x + y = 1...

    Text Solution

    |

  16. If (h,k) is the centre of a circle passing through the origin then its...

    Text Solution

    |

  17. If circles (x -1)^(2) + y^(2) = a^(2) " and " (x + 2)^(2) + y^(2) = ...

    Text Solution

    |

  18. The centre of circle inscribed in a square formed by lines x^2-8x+1...

    Text Solution

    |

  19. The radius of the circle, having centre at (2, 1), whose one of the ch...

    Text Solution

    |

  20. Find the equation of the circle which touches the circle x^(2) + y^(...

    Text Solution

    |