Home
Class 11
MATHS
If the equation (4a-3)x^2+a y^2+6x-2y+2=...

If the equation `(4a-3)x^2+a y^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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    RD SHARMA ENGLISH|Exercise All Questions|216 Videos
  • THE STRAIGHT LINES

    RD SHARMA ENGLISH|Exercise All Questions|493 Videos

Similar Questions

Explore conceptually related problems

If the equation (4 lambda - 3) x^(2) + lambda y ^(2) + 6x - 2y + 2 = 0 represents a circle, then its centre is

If the equation kx^(2) + (2k - 3) y^(2) - 6x + 4y + 3 = 0 represents a circle, then its centre is

The straight lines 4a x+3b y+c=0 , where a+b+c are concurrent at the point a) (4,3) b) (1/4,1/3) c) (1/2,1/3) d) none of these

Equation x^2 - 2x - 2y + 5 = 0 represents (A) a circle with centre (1, 1) (B) a parabola with vertex (1, 2) (C) a parabola with directrix y= 5/2 (D) a parabola with directrix y= - 1/3

The area {(x ,y); x^2lt=ylt=sqrt(x)} is equal to 1/3 b. 2/3 c. 1/6 d. none of these

The area {(x ,y); x^2lt=ylt=sqrt(x)} is equal to 1/3 b. 2/3 c. 1/6 d. none of these

If (x ,3)a n d\ (3,5) are the extremities of a diameter of a circle with centre at (2, y) then the values of x\ a n d\ y are a. (3,1) b. x=4, y=1 c. x=8, y=2 d. none of these

The straight lines represented by x^2+m x y-2y^2+3y-1=0 meet at (a) (-1/3,2/3) (b) (-1/3,-2/3) (c) (1/3,2/3) (d) none of these

The straight lines represented by x^2+m x y-2y^2+3y-1=0 meet at (a) (-1/3,2/3) (b) (-1/3,-2/3) (c) (1/3,2/3) (d) none of these

The straight lines represented by x^2+m x y-2y^2+3y-1=0 meet at (a) (-1/3,2/3) (b) (-1/3,-2/3) (c) (1/3,2/3) (d) none of these

RD SHARMA ENGLISH-THE CIRCLE-All Questions
  1. Write the coordinates of the centre of the circle passing through (...

    Text Solution

    |

  2. Write the area of the circle passing through (-2, 6) and having its ...

    Text Solution

    |

  3. If the abscissa and ordinates of two points Pa n dQ are the roots of t...

    Text Solution

    |

  4. Write the equation of the unit circle concentric with x^2+y^2-8x+4y-8=...

    Text Solution

    |

  5. Find the number of integral values of lambda for which x^2+y^2+lambdax...

    Text Solution

    |

  6. Write the equation of the circle passing through (3,4) and touching ...

    Text Solution

    |

  7. If the line y=m x does not intersect the circle (x+10)^2+(y+10)^2=180 ...

    Text Solution

    |

  8. Write the coordinates of the center of the circle inscribed in the s...

    Text Solution

    |

  9. The equation x^2+y^2+2x-4y+5=0 represents a. a point b. a pair of s...

    Text Solution

    |

  10. If the equation (4a-3)x^2+a y^2+6x-2y+2=0 represents a circle, then it...

    Text Solution

    |

  11. The equation of the circle passing through the point (1,1) and having ...

    Text Solution

    |

  12. If the centroid of an equilateral triangle is (1,1) and its one vertex...

    Text Solution

    |

  13. The equation of the incircle of the triangle formed by the axes and th...

    Text Solution

    |

  14. The equation of a circle with radius 5 and touching both the coordinat...

    Text Solution

    |

  15. The equation of the circle passing through the origin which cuts of ...

    Text Solution

    |

  16. The area of an equilateral triangle inscribed in the circle x^2+y^2-6x...

    Text Solution

    |

  17. If the circles x^2+y^2=a\ a n d\ x^2+y^2-6x-8y+9=0 touch externally th...

    Text Solution

    |

  18. If (x ,3)a n d\ (3,5) are the extremities of a diameter of a circle wi...

    Text Solution

    |

  19. Equation of the diameter of the circle x^2+y^2-2x+4y=0 which passes th...

    Text Solution

    |

  20. Equation of the circle through origin which cuts intercepts of length ...

    Text Solution

    |