Home
Class 12
MATHS
For the circle ax^(2)+y^(2)+bx+dy+2=0 ce...

For the circle `ax^(2)+y^(2)+bx+dy+2=0` centre is (1,2) then `2b+3d=`

A

`-16`

B

16

C

8

D

`-8`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE II|169 Videos
  • CIRCLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|164 Videos
  • CIRCLES

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|47 Videos
  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.4|38 Videos
  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

Similar Questions

Explore conceptually related problems

If the circle x^(2)+y^(2)+ax+by-12=0 has the centre at (2,3) then find a, b, and the radius of the circle.

If the circle x^(2) + y ^(2) + ax + by - 12=0 has the centre at (2,3) then find a, b and the radius of the circle .

Find the value of a if 2x^(2)+ay^(2)-2x+2y-1=0 represents a circle and also find its radius. (ii) Find the values of a,b if ax^(2)+bxy+3y^(2)-5x+2y-3=0 represents a circle. Also find the radius and centre of the circle. (iii) If x^(2)+y^(2)+2gx+2fy=0 represents a circle with centre (-4,-3) then find g,f and the radius of the circle. (iv) If the circle x^(2)+y^(2)+ax+by-12=0 has the centre at (2,3) then find a ,b and the raidus of the circle. (v) If the circle x^(2)+y^(2)-5x+6y-a=0 has radius 4 , find a

Show that the circles x^(2) +y^(2) + 2ax + c=0 and x ^(2) + y^(2) + 2by + c=0 to touch each other if (1)/(a^(2)) + (1)/( b^(2)) = (1)/( c )

AAKASH SERIES-CIRCLES-EXERCISE -I
  1. Equation of circle passing through (-1,-2) and concentric with the cir...

    Text Solution

    |

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

    Text Solution

    |

  3. For the circle ax^(2)+y^(2)+bx+dy+2=0 centre is (1,2) then 2b+3d=

    Text Solution

    |

  4. The area of the circle x^(2)+y^(2)-4x-2y+k=0 is 25pi square units then...

    Text Solution

    |

  5. If (1,2) (2,a) are extremities of a diameter of the circle x^(2)+y^(2)...

    Text Solution

    |

  6. The circle through the points (2,3), (2,2), (3,2) is

    Text Solution

    |

  7. The equation of the circle passing through (2, 0) and (0, 4) and havin...

    Text Solution

    |

  8. If the points (0,0),(2,0),(0,-2) and (k,-2) are concylic then k=

    Text Solution

    |

  9. If x - y + 1 = 0 meets the circle x^(2) + y^(2) + y - 1 = 0 at A a...

    Text Solution

    |

  10. If the lines x-2y+3=0, 3x+ky+7=0 cut the coordinate axes in concylic p...

    Text Solution

    |

  11. If a circle is inscribed in a square of side 10, so that the circle t...

    Text Solution

    |

  12. The power of (1,1) with respect to the circle x^(2)+y^(2)-4x+3y+k=0 i...

    Text Solution

    |

  13. The equation of the circle with centre (3,2) and the power of (1,-2) w...

    Text Solution

    |

  14. If a line is drawn through a point A(3,4) to cut the circle x^(2)+y^(2...

    Text Solution

    |

  15. A chord through P cut the circle x^(2)+y^(2)+2gx+2fy+c=0 in A and B an...

    Text Solution

    |

  16. A chord of length 24 units is a distance of 5 units from the centre of...

    Text Solution

    |

  17. The equation of a circle with centre (4,1) and having 3x+4y-1=0 as tan...

    Text Solution

    |

  18. The intercept made by the circle x^(2)+y^(2)-4x-6y-3=0 on the line x+y...

    Text Solution

    |

  19. The length of the tangent from (1,1) to the circle 2x^(2)+2y^(2)+5x+3y...

    Text Solution

    |

  20. If P is a point such that the ratio of the squares of the lengths of t...

    Text Solution

    |