Home
Class 11
MATHS
The equation of three circles are given ...

The equation of three circles are given `x^2+y^2=1,x^2+y^2-8x+15=0,x^2+y^2+10 y+24=0` . Determine the coordinates of the point `P` such that the tangents drawn from it to the circle are equal in length.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

The length of the chord of contact of the tangents drawn from the point (-2,3) to the circle x^2+y^2-4x-6y+12=0 is:

The equation of the circle which cuts the three circles x^2+y^2-4x-6y+4=0, x^2+y^2-2x-8y+4=0, x^2+y^2-6x-6y+4=0 orthogonally is

The straight line x-2y+5=0 intersects the circle x^(2)+y^(2)=25 in points P and Q, the coordinates of the point of the intersection of tangents drawn at P and Q to the circle is

Find the equation of tangents of the circle x^(2) + y^(2) - 8 x - 2y + 12 = 0 at the points whose ordinates are -1.

If the straight line x - 2y + 1 = 0 intersects the circle x^2 + y^2 = 25 at points P and Q, then find the coordinates of the point of intersection of the tangents drawn at P and Q to the circle x^2 + y^2 = 25 .

If the straight line x - 2y + 1 = 0 intersects the circle x^2 + y^2 = 25 at points P and Q, then find the coordinates of the point of intersection of the tangents drawn at P and Q to the circle x^2 + y^2 = 25 .

The point of tangency of the circles x^2+ y^2 - 2x-4y = 0 and x^2 + y^2-8y -4 = 0 , is

The point of tangency of the circles x^2+ y^2 - 2x-4y = 0 and x^2 + y^2-8y -4 = 0 , is

The straight line x-2y+1=0 intersects the circle x^(2)+y^(2)=25 in points P and Q the coordinates of the point of intersection of tangents drawn at P and Q to the circle is

The equation of the tangent to the circle x^(2)+y^(2)-4x+4y-2=0 at (1,1) is

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Show that the circles x^2+y^2-10 x+4y-20=0 and x^2+y^2+14 x-6y+22=0 to...

    Text Solution

    |

  2. If the radical axis of the circles x^2+y^2+2gx+2fy+c=0 and 2x^2+2y^2+3...

    Text Solution

    |

  3. The equation of three circles are given x^2+y^2=1,x^2+y^2-8x+15=0,x^2+...

    Text Solution

    |

  4. If the circles x^2+y^2+2a^(prime)x+2b^(prime)y+c^(prime)=0 and 2x^2+2...

    Text Solution

    |

  5. A circle passes through the origin and has its center on y=x If it cut...

    Text Solution

    |

  6. Prove that the equation of any tangent to the circle x^2+y^2-2x+4y-4=0...

    Text Solution

    |

  7. The tangent to the circle x^2+y^2=5 at (1,-2) also touches the circle ...

    Text Solution

    |

  8. If S(1)=alpha^(2)+beta^(2)-a^(2), then angle between the tangents from...

    Text Solution

    |

  9. If a >2b >0, then find the positive value of m for which y=m x-bsqrt(1...

    Text Solution

    |

  10. Find the angle between the two tangents from the origin to the circle ...

    Text Solution

    |

  11. Two circles C1 and C2 intersect at two distinct points PandQ in a line...

    Text Solution

    |

  12. Find the equation of the tangent at the endpoints of the diameter of ...

    Text Solution

    |

  13. Find the equations of the tangents to the circle x^2+y^2-6x+4y=12 whic...

    Text Solution

    |

  14. If from any point P on the circle x^2+y^2+2gx+2fy+c=0, tangents are dr...

    Text Solution

    |

  15. The lengths of the tangents from P(1,-1) and Q(3,3) to a circle are sq...

    Text Solution

    |

  16. Which of the following is a point on the common chord of the circle x^...

    Text Solution

    |

  17. If the circles x^2+y^2+2a x+c y+a=0 and x^2+y^2-3a x+d y-1=0 intersec...

    Text Solution

    |

  18. Find the angle at which the circles x^2+y^2+x+y=0 and x^2+y^2+x-y=0 in...

    Text Solution

    |

  19. Find the angle which the common chord of x^2+y^2-4x-4y=0 and x^2+y^2=1...

    Text Solution

    |

  20. If the tangents are drawn to the circle x^2+y^2=12 at the point where ...

    Text Solution

    |