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

Verified by Experts

If the equation is `(4a-3)x^2+ay^2+6x-2y+2=0` represents a cricle, then we have
coefficient of `x^2`=coefficient `y^2`
`=> 4a-3=a`
`a=1`
...
Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    RD SHARMA|Exercise Solved Examples And Exercises|175 Videos

  • THE STRAIGHT LINES

    RD SHARMA|Exercise Solved Examples And Exercises|488 Videos

Similar Questions

Explore conceptually related problems

If the equation lamdax^(2)+(2lamda-3)y^(2)-4x-1=0 represents a circle, then its radius is

Show that the equation 3x^(2)+3y^(2)+6x-4y-1=0 represents a circle Find its centre and radius.

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

If the equation 3x^(2) + 3y^(2) + kxy + 9x + (k - 6) y + 3 = 0 represents a circle , then the radius of this circle is

for parabola x^2+y^2+2xy?6x?2y+3=0, the focus is (a) (1,-1) (b) (-1,1) (c) (3,1) (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

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

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

The equation (x^(2))/(1-r)-(y^(2))/(1+r)=1,r>1 represents (a)an ellipse (b) a hyperbola (c)a circle (d) none of these

RD SHARMA-THE CIRCLE-Solved Examples And Exercises
  1. Write the length of the intercept made by the circle x^2+y^2+2x-4y-5=0...

    Text Solution

    |

  2. Write the coordinates of the centre of the circle passing through (...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    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 formed by the coordinate axes and the lin...

    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 y^2=a\ a n d\ x^2+y^2-6x-8y+9=0 touch externally then a...

    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

    |