Home
Class 12
MATHS
The value of a, such that the power of t...

The value of a, such that the power of the point (1, 6) with respect to the circle `x^(2)+y^(2)+4x-6y-a=0" is -16 is"`

A

7

B

11

C

13

D

21

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM AND PARTIAL FRACTIONS

    SIA PUBLICATION|Exercise Problems|48 Videos

  • COMPLEX NUMBERS AND DE MOIVRE'S THEOREM

    SIA PUBLICATION|Exercise Problems|34 Videos

Similar Questions

Explore conceptually related problems

The inverse of the point (1, 2) with respect to the circle x^(2) + y^(2) - 4x - 6y + 9 = 0 is

Locate the position of the point (2,4) with respect to the circle. x^(2)+y^(2)-4x-6y+11= 0

Find the polar of the point (−2,3) with respect to the circle x2+y2−4x−6y+5=0

Find the inverse point of (-2,3) with respect to the circle x^(2)+y^(2)-4x-6y+9=0

The power of the point (1, 2) w.r.t the circle x^2 + y^2-4x-6y - 12 =0 is

Find the pole of x + y + 2= 0 with respect to the circle x^(2)+ y^(2) - 4x + 6y -12= 0 .

Find the power of the point P with respect to the circle S = 0 when P = (-2,4) and S-= x^(2) + y^(2) +4x-6y-12

Find the power of the point P with respect to the circle S = 0 when P=(-1,1) and S -=x^(2) +y^(2) -6x + 4y-12

SIA PUBLICATION-CIRCLE-PROBLEMS
  1. If (4,2) and (k,-3) are conjugate points with respect to x^(2)+y^(2)-5...

    Text Solution

    |

  2. The area (in sq units) of the triangle formed by the tangent, normal a...

    Text Solution

    |

  3. The value of a, such that the power of the point (1, 6) with respect t...

    Text Solution

    |

  4. The sum of the minimum and maximum distances of the point (4,-3) to th...

    Text Solution

    |

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

    Text Solution

    |

  6. A circle with centre at (2, 4) is such that the line x+y+2 =0 cuts a c...

    Text Solution

    |

  7. The condition for the lines lx + my + n = 0 and l(1) x + m(1)y + n(1) ...

    Text Solution

    |

  8. The circle 4x^(2)+4y^(2)-12x-12y+9=0

    Text Solution

    |

  9. For the circle C with the equation x^(2) + y^(2) - 16x - 12y + 64 = 0 ...

    Text Solution

    |

  10. If the length of the tangent from (h,k) to the circle x^(2)+y^2=16 is ...

    Text Solution

    |

  11. Given the circle C with the equation x^(2) + y^(2) - 2x + 10y - 38 = 0...

    Text Solution

    |

  12. Consider the circle x^(2)+y^(2)-4x-2y+c=0 whose centre is A(2, 1) If t...

    Text Solution

    |

  13. If the line x+3y=0 is tangent at (0,0) to the circle of radius 1, then...

    Text Solution

    |

  14. The radius of the circle r = 12 cos theta + 5 sin theta is

    Text Solution

    |

  15. If the line y=2x+c is a tangent to the circle x^(2)+y^(2)=5 then a val...

    Text Solution

    |

  16. A line segment AM=a moves in the XOY plane such that AM is parallel to...

    Text Solution

    |

  17. If the lines 3x+4y-14=0 and 6x+8y+7=0 are both tangents to a circle, t...

    Text Solution

    |

  18. The equation of the circle concentric with the circle x^(2)+y^(2)-6x+1...

    Text Solution

    |

  19. The length of the common chord of the circles of radii 15 and 20, whos...

    Text Solution

    |

  20. The equations of the circles which pass through the origin and makes i...

    Text Solution

    |