Home
Class 11
MATHS
if the distances from the origin to the ...

if the distances from the origin to the centre of three circles `x^2+y^2+2lambda_ix-c^2=0(i=1,2,3)` are in G.P. ,then the lengths of the tangents drawn to them from any point on the circle `x^2+y^2=c^2` are in

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Find the lengths of the tangents drawn from the point. (-4,5) to the circle x^(2)+y^(2)=16

Find the lengths of the tangents drawn from the point. (-1,1) to the circle x^(2)+y^(2)-2x+4y+1=0

Find the lengths of the tangents drawn from the point. (x_(1),y_(1)) to the circle x^(2)+y^(2)+2x=0

Find the lengths of the tangent drawn from the point. (2,-2) to the circle 3(x^(2)+y^(2))-4x-7y=3

Find the length of the tangent from the point (7,2) to the circle 2x^(2)+2y^(2)+5x+y=15

Find the length of tangents drawn from the point (3, -4) to the circle 2x^2 + 2y^2 - 7x - 9y - 13 = 0

The lngth of the tangent from the point (1, 1) to the circle x^2 + y^2 + 4x + 6y + 1 = 0 is

Find the equations of the tangents drawn from the point A(3, 2) to the circle x^2 + y^2 + 4x + 6y + 8 = 0

The centre of the circle lambdax^2+(2lambda-3)y^2-4x+6y-1=0 is

The equation of the tangents drawn from the origin to the circle x^2 + y^2 - 2rx + 2hy + h^2 = 0 are

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Find the equation of the normal to the circle x^2+y^2-2x=0 parallel to...

    Text Solution

    |

  2. Find the equation of the tangent to the circle x^2+y^2+4x-4y+4=0 which...

    Text Solution

    |

  3. if the distances from the origin to the centre of three circles x^2+y^...

    Text Solution

    |

  4. Find the equation of the normals to the circle x^2+y^2-8x-2y+12=0 at t...

    Text Solution

    |

  5. An infinite number of tangents can be drawn from (1,2) to the circle x...

    Text Solution

    |

  6. If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two dis...

    Text Solution

    |

  7. The line A x+B y+C=0 cuts the circle x^2+y^2+a x+b y+c=0 at Pa n dQ . ...

    Text Solution

    |

  8. Find the equation of the circle which cuts the three circles x^2+y^2-3...

    Text Solution

    |

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

    Text Solution

    |

  10. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. If the pair of lines ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 intersect on the ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |