Home
Class 11
MATHS
If the equation of a circle is 3x^2 + 3y...

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

A

3/2

B

`sqrt17/2`

C

2/3

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN COORDINATES AND STRAIGHT LINE

    PATHFINDER|Exercise QUESTION BANK|249 Videos

  • COMPLEX NUMBER

    PATHFINDER|Exercise QUESTION BANK|224 Videos

Similar Questions

Explore conceptually related problems

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 -

If the equation of the tangent to the circle x^(2) + y^(2) - 2x + 6y - 6 =0 parallel to the line 3x - 4y +7 =0 is 3x - 4y +k=0 , then the value of k is-

If one end of a diameter of the circle 3x^(2) + 3y^(2) - 9 x + 6y + 5 = 0 is (1 ,2) then the other end is _

If x=(3)/(k) be the equation of directrix of the parabola y ^(2) + 4 y + 4 x + 2 = 0 then , k is _

Find the equation of the circle passing through the points of intersection of the circles x^(2) + y^(2) - x + 7y - 3 = 0, x^(2) + y^(2) - 5x - y + 1 = 0 and having its centre on the line x+y = 0.

Equation of a circle having radius equal to twice the radius of the circle x^2+y^2+(2p +3)x + (3-2p)y +p-3 = 0 and touching it at the origin is

A circle through the common points of the circles x^(2) + y^(2) - 2x - 4y + 1 = 0 and x^(2) + y^(2) - 2x - 6y + 1 = 0 has its centre on the line 4x - 7y - 19 = 0 . Find the centre and radius of the circle .

The equations of a diameter of a circle is 2x - y + 4 = 0 and it passes through the points (4, 6) and (1, 9). Find the equation of the circle, the coordinates of its centre and length of its radius.

The equation of the directrices of the hyperbola 3x^(2) - 3y^(2) - 18x + 12y + 2 = 0 is

A circle touches the x-axis at (3, 0) and its radius is twice the radius of the circle x^(2) + y^(2) - 2x - 2y - 2 = 0 , find the equation of the circle and the length of its chord intercepted on the y-axis.

PATHFINDER-CIRCLE-QUESTION BANK
  1. The circle x^2 + y^2 - 8x + 4y +4 = 0 touches

    Text Solution

    |

  2. The intercept on the line y = x by the circle x^2 + y^2 - 2x = 0 is ba...

    Text Solution

    |

  3. If the equation of a circle is 3x^2 + 3y^2 + kxy + 9x + (k - 6)y + 3 =...

    Text Solution

    |

  4. Let AB be a chord of the circle x^2 + y^2 = r^2 Subtending a right ang...

    Text Solution

    |

  5. If the circle x^2+y^2+6x+8y+a=0 bisects the circumference of the circl...

    Text Solution

    |

  6. If a chord of a circle x^2 + y^2 =32 makes equal intercepts of length ...

    Text Solution

    |

  7. The lngth of the tangent from the point (1, 1) to the circle x^2 + y^2...

    Text Solution

    |

  8. The equations of the tangents to the circle x^2 + y^2 = 25 which are i...

    Text Solution

    |

  9. The number of tangents to the circle x^2 + y^2 - 8x - 6y + 9 = 0 which...

    Text Solution

    |

  10. Let x, y be real variable satisfying the x^2 + y^2 + 8x - 10 y - 40 = ...

    Text Solution

    |

  11. The circle x^2 + y^2 - 2x - 4y + 1 = 0 and x^2 + y^2 + 4x + 4y - 1 = ...

    Text Solution

    |

  12. Point M moved on the circle (x - 4)^2 + (y - 8)^2 = 20 Then it broke a...

    Text Solution

    |

  13. The equation of the tangents drawn from the origin to the circle x^2 +...

    Text Solution

    |

  14. The equation of a circle of radius 1 touching the circle x^2 + y^2 - 2...

    Text Solution

    |

  15. The range of value of 'a' such that angle theta between the pair of ta...

    Text Solution

    |

  16. The centre of a circle passing through the points (0,0),(1,0)and touch...

    Text Solution

    |

  17. Let L1 be a straight line passing through the origin and L2 be the str...

    Text Solution

    |

  18. Three sides of a triangle have the equation Li = y - mi x = 0 , I = 1,...

    Text Solution

    |

  19. Consider the circle x^2 + y^2 - 10x - 6y + 30 = 0 Let O be the centre ...

    Text Solution

    |

  20. From a point P(alpha, beta) a pair of tangents PQ and PR drawn to circ...

    Text Solution

    |