Home
Class 12
MATHS
The locus of a point such that the tange...

The locus of a point such that the tangents drawn from it to the circle `x^2 + y^2 - 6x - 8y = 0` are perpendicular to each other is

A

`x^2+y^2-6x-8y-25=0`

B

`x^2+y^2+6x-8y-25=0`

C

`x^2+y^2-6x-8y+25=0`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    FIITJEE|Exercise Assignment Problems (Objective) Level -II|15 Videos
  • CIRCLE

    FIITJEE|Exercise COMPREHENSIONS|8 Videos
  • CIRCLE

    FIITJEE|Exercise Assignment Problems (Subjective ) Level -II|13 Videos
  • AREA

    FIITJEE|Exercise Numerical Based|3 Videos
  • COMPLEX NUMBER

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

Tangents drawn from the origin to the circle x^(2)+y^(2)-2ax-2by+a^(2)=0 are perpendicular if

The locus of the point of intersection of the tangents to y^2 = 4x + y and y^2 = 8x + 16 which are perpendicular to each other is x = -k . Then k =

Equation of tangents drawn from (0, 0) to x^(2) + y^(2) - 6x -6y + 9 = 0 are

show that the tangent of the circle x^(2)+y^(2)=25 at the point (3,4) and (4,-3) are perpendicular to each other.

Length of a tangent drawn from the origin to the circle x ^(2) + y ^(2) - 6x + 4y + 8=0 in units is

Length of tangent from (8,6) to the circle x^(2)+y^(2)-3x-4y+2=0

The number of real tangents that can be drawn from (2, 2) to the circle x^(2)+y^(2)-6x-4y+3=0 , is

The locus of the midpoints of the chords drawn from the point M(1,8) to the circle x^(2)+y^(2)-6x-4y-11-0, is equal to

The number of tangents that can be drawn from (0,0) to the circle x^(2)+y^(2)+2x+6y-15=0

FIITJEE-CIRCLE-Assignment Problems (Objective) Level -I
  1. For a , b in R the maximum [(a-1)(b-1)+(1-sqrt(1-a^2))(1-sqrt(1-b^2))]

    Text Solution

    |

  2. The coordinates of the middle point of the chord cut-off by 2x-5y+18=0...

    Text Solution

    |

  3. The locus of a point such that the tangents drawn from it to the circl...

    Text Solution

    |

  4. The equation of circle touching the line 2x+3y+1=0 at the point (1,-1)...

    Text Solution

    |

  5. The value of k for which two tangents can be drawn from (k,k) to the c...

    Text Solution

    |

  6. If C(1): x^(2)+y^(2) =(3+2sqrt(2))^(2) be a circle. PA and PB are pair...

    Text Solution

    |

  7. Equation of a circle with centre(4,3) touching the circle x^2+y^2=1

    Text Solution

    |

  8. Find the co-ordinate of the point on the circle x^2+y^2-12x-4y +30=0, ...

    Text Solution

    |

  9. The centre of circle inscribed in a square formed by lines x^2-8x+1...

    Text Solution

    |

  10. From any point on the circle x^(2)+y^(2)=a^(2) tangents are drawn to t...

    Text Solution

    |

  11. The equation of the circumcircle of an equilateral triangle is x^2+y^2...

    Text Solution

    |

  12. Four distinct points (2K,3K),(1,0),(0,1) and (0,0) lie on circle when

    Text Solution

    |

  13. A line is drawn through a fixed point P(alpha, B) to cut the circle x...

    Text Solution

    |

  14. The line 4x+3y-4=0 divides the circumference of the circle centred at ...

    Text Solution

    |

  15. The maximum distance of the point (4,4) from the circle x^2+y2-2x-15=0...

    Text Solution

    |

  16. If the circle x^2+y^2+4x+22y+l=0 bisects the circumference of the circ...

    Text Solution

    |

  17. A, B C and D are the points of intersection with the coordinate axes o...

    Text Solution

    |

  18. If the length of the tangents from any point on the circle 15x^(2)+15y...

    Text Solution

    |

  19. ) Six points(x,yi),i=1,2, ,.., 6 are taken on the circle x4 such that ...

    Text Solution

    |

  20. The circles x^2+y^2+x+y=0 and x^2+y^2+x-y=0 intersect at an angle of

    Text Solution

    |