Home
Class 12
MATHS
x^2+y^2+2lambdax+5=0 and x^2+y^2+2lambda...

`x^2+y^2+2lambdax+5=0` and `x^2+y^2+2lambday+5=0` are two circles. P is a point on the line x-y=0. If PA and PB are the lengths of the tangents from P to the two cricles and PA=3, then PB=

A

1

B

3

C

8

D

5

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise Practice Exercise|36 Videos

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise EXERCISE -2.1|23 Videos

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise Exercise-I (Class work)|20 Videos

  • STRAIGHT LINES (3D)

    AAKASH SERIES|Exercise PRACTICE EXERCISE|28 Videos

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE-III|46 Videos

Similar Questions

Explore conceptually related problems

The length of the tangent from (0,0) to the circle 2x^(2)+2y^2+x-y+5=0 is

The length of the tangent from (1,1) to the circle 2x^(2)+2y^(2)+5x+3y+1=0 is

Fing the length of tangent from P to the ltbr., circle S = 0 when P = (-2,5) and S -= x^(2) + y^(2) -25

A(2, 1) and B(1, 2) are two points. If P is a point such that PA : PB = 2:1 , then the locus of P is

If the tangent at P on the circle x^(2)+y^(2)=a^(2) cuts two parallel tangents of the circle at A and B then PA.PB=

AAKASH SERIES-SYSTEM OF CIRCLES-Exercise-II (Class work)
  1. From the point P(2, 3) tangents PA,PB are drawn to the circle x^2+y^2-...

    Text Solution

    |

  2. The common chord of x^2 + y^2 - 4x - 4y = 0 and x^2 + y^2 = 16 substen...

    Text Solution

    |

  3. x^2+y^2+2lambdax+5=0 and x^2+y^2+2lambday+5=0 are two circles. P is a ...

    Text Solution

    |

  4. The centres of the circles are (a, c) and (b, c) and their radical axi...

    Text Solution

    |

  5. (a,0) and (b, 0) are centres of two circles belonging to a co-axial sy...

    Text Solution

    |

  6. If the circles x^2 + y^2 + 2ax + cy + a =0 and x^2 + y^2 - 3ax + dy - ...

    Text Solution

    |

  7. The radical centre of the circles x^2+y^2-x+3y-3=0 , x^2+y^2-2x+2y-2=0...

    Text Solution

    |

  8. The centre of the circle orthogonal to the circles x^2+y^2+4y+1=0 , x^...

    Text Solution

    |

  9. The point from which the tangents to the circles x^2+y^2-8x+40=0, 5x^2...

    Text Solution

    |

  10. You are given n ( ge 3) circles having different radical axes and rad...

    Text Solution

    |

  11. If A, B, C are the centres of three circles touching mutually external...

    Text Solution

    |

  12. The radical centre of the three circles described on the three sides o...

    Text Solution

    |

  13. ABC is a triangle. The radical centre of the circles with AB, BC, CA a...

    Text Solution

    |

  14. A, B, C are the centres of three circles of equal radii which donot to...

    Text Solution

    |

  15. A,B,C are the centres of the three circles C1,C2,C3 such that C1,C2 ...

    Text Solution

    |

  16. The slope of the radical axis of the circles x^2+y^2+3x+4y-5=0 and x^2...

    Text Solution

    |

  17. The distance of the point (1,-2) from the common chord of the circles ...

    Text Solution

    |

  18. The length of the common chord of the circles x^(2) + y^(2) + 2x + ...

    Text Solution

    |

  19. The length of the common chord of the circles (x-6)^2+(y-4)^2=4, (x-4)...

    Text Solution

    |

  20. If the circle x^(2) +y^(2) + 2gx + 2fy + c = 0 bisects the circumfer...

    Text Solution

    |