Home
Class 11
MATHS
If the equation 3x^(2) + 3y^(2) + kxy +...

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

A

`3/2`

B

`(sqrt(17))/(2)`

C

`2/3`

D

`9/2`

Text Solution

Verified by Experts

The correct Answer is:
A
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

Show that the equation x ^(2) + y ^(2) - 3x + 3y + 10 = 0 does not represent a circle.

If the equation 3x^(2)+3y^(2)+6 lambda x+2 lambda=0 represents a circle,then the value of lambda. lies in

If 2x-4y=9 and 6x-12y+7=0 are parallel tangents to circle, then radius of the circle, is

x ^(2) + y^(2) + (2K -1) xy -2x + 4y + 3=0 represents the equation of a circle, find k and radius of the circle ?

If x^(2)+y^2-4x+6y+c=0 represents a circle with radius 6 then c is

If the equation 3x^(2)+xy-y^(2)-3x+6y+k=0 represents a pair of straight lines, then the value of k, is

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

If the equation 2x^(2)+kxy-3y^(2)-x-4y-1=0 represents a pair of lines then the value of ' 'k' can be:

If the equation 2x^(2)+7xy+3y^(2)-9x-7y+k=0 represents a pair of lines, then k is equal to

Show that the equation 3x^(2)+3y^(2)+12x-18y-11=0 represent a circle.Also find its centre and radius.

MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. Area of the circle x^(2) + y^(2) + 2 cos theta sin phi * x + 2 s...

    Text Solution

    |

  2. The sides of a square are x=2,x=3,y=1andy=2. Find the equation of the ...

    Text Solution

    |

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

    Text Solution

    |

  4. If the two circle x^(2) + y^(2) - 3x + ky - 5 = 0 and 4x^(2) ...

    Text Solution

    |

  5. Equation of the chord of the circle x^(2) + y^(2) - 4x = 0 whose mi...

    Text Solution

    |

  6. Find the equation of the circle passing through the origin and the ...

    Text Solution

    |

  7. The equation of the the circle having x - y - 2 = 0 and x - y + 2 = 0 ...

    Text Solution

    |

  8. Area of a circle in which a chord of length sqrt(2) makes an angle (pi...

    Text Solution

    |

  9. An acute triangle PQR is inscribed in the circle x^2+y^2= 25. If Q and...

    Text Solution

    |

  10. Centre of the circle toucing y-axis at (0,3) and making an intercept 2...

    Text Solution

    |

  11. Circle x^(2) + y^(2) - 8x + 4y + 4 = 0 touches

    Text Solution

    |

  12. Abscissas of two points P and Q are roots of the equation x^(2) + 2x ...

    Text Solution

    |

  13. The radius of the circle sqrt(1 + a^(2)) (x^(2) + y^(2)) - 2bx - 2...

    Text Solution

    |

  14. If line 3x - y + c = 0 touches circle x^(2) + y^(2) - 2x + 8y - 2...

    Text Solution

    |

  15. Given A -= (2,4) " and " C -= (4,-2) . If Delta ABC is right-angle...

    Text Solution

    |

  16. If y = 2x + k " touches " x^(2) + y^(2) - 4x - 2y = 0 , then k=

    Text Solution

    |

  17. If line x cos alpha + y sin alpha = p " touches circle " x^(2) + y^(...

    Text Solution

    |

  18. If line 4x + 3y + k = 0 " touches circle " 2x^(2) + 2y^(2) = 5x , t...

    Text Solution

    |

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

    Text Solution

    |

  20. If the line (x)/(a) + (y)/(b)= 1 touches the circle x^(2) + y^(2) ...

    Text Solution

    |