Home
Class 12
MATHS
(1, 2) is a point on the circle x^2 + y^...

(1, 2) is a point on the circle` x^2 + y^2 + 2x - 6y + 5 = 0` which is orthogonal to `x^2 + y^2 = 5`. The conjugate point of (1, 2) w.r.t the circle `x^2+y^2 = 5` and which lies on the first circle is

A

(7,-1)

B

(9,-2)

C

(-3,4)

D

(0,5)

Text Solution

Verified by Experts

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

The inverse point of (1,2) w.r.t. the circle x^(2)+y^(2)=25 , is (5,k) then k=

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

The points (-6,2),(-3,1) w.r.t the circle x^(2)+y^(2)=20 are

The polar of (2,3) w.r.t the circle x^(2)+y^(2)-4x-6y+2=0 is

The inverse point of (1,2) origin w.r.t. the circle x^(2)+y^(2)-4x-6y+9=0 is

AAKASH SERIES-SYSTEM OF CIRCLES-Exercise-II (Class work)
  1. The circle through the two points (-2,5),(0,0) and intersecting x^2+y^...

    Text Solution

    |

  2. A circle passes through origin and has its centre on y = x. If it cuts...

    Text Solution

    |

  3. (1, 2) is a point on the circle x^2 + y^2 + 2x - 6y + 5 = 0 which is o...

    Text Solution

    |

  4. The points A(2, 3) and B(-7, -12) are conjugate points w.r.t to the ci...

    Text Solution

    |

  5. The locus of centres of all circles which touch the line x = 2a and cu...

    Text Solution

    |

  6. If the circles of same radius 'a' and centres at (2, 3) and (5, 6) cut...

    Text Solution

    |

  7. If the circle x^2 + y^2 + 2x - 2y + 4 = 0 cuts the circle x^2 + y^2 + ...

    Text Solution

    |

  8. A line 'I' meets the circle x^2 + y^2 =61 in A, B and P(-5, 6) is such...

    Text Solution

    |

  9. If P and Q are the Points of intersection of the circles x^2 + y^2 + 3...

    Text Solution

    |

  10. From the point P(2, 3) tangents PA,PB are drawn to the circle x^2+y^2-...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |