Home
Class 12
MATHS
If x^(2) + y^(2) - 2x + 3y + k = 0 " a...

If ` x^(2) + y^(2) - 2x + 3y + k = 0 " and " x^(2) + y^(2) + 8x - 6y = 7 = 0 ` cut each other orthogonally , the value of k must be

A

-10

B

1

C

5

D

-2

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF CIRLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET -1)|9 Videos

  • SYSTEM OF CIRLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET -2)|1 Videos

  • SYSTEM OF CIRLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-4 )|4 Videos

  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET-4)|12 Videos

  • THE PLANE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET 4|4 Videos

Similar Questions

Explore conceptually related problems

If the circles x^(2) + y^(2) - 6x - 8y + 12 = 0 , x^(2) + y^(2) - 4x + 6y + k = 0 cut orthogonally, then k =

If the circles x^(2) + y^(2) - 2lambda x - 2y - 7 = 0 and 3(x^(2) + y^(2)) - 8x + 29y = 0 are orthogonal then lambda =

Find the value of k, if the circles x^(2) + y^(2) + 4x + 8 = 0 and x^(2) + y^(2) - 16y + k = 0 are orthogonal.

If the circle x^(2) + y^(2) + 8x - 4y + c = 0 touches the circle x^(2) + y^(2) + 2x + 4y - 11 = 0 externally and cuts the circle x^(2) + y^(2) - 6x + 8y + k = 0 orthogonally then k =

DIPTI PUBLICATION ( AP EAMET)-SYSTEM OF CIRLES -EXERCISE 1
  1. If the angle between the circlex x^(2) + y^(2) - 2x - 4y + c = 0 and x...

    Text Solution

    |

  2. If the circles x^(2) + y^(2) - 6x - 8y + 12 = 0 , x^(2) + y^(2) - 4x ...

    Text Solution

    |

  3. If x^(2) + y^(2) - 2x + 3y + k = 0 " and " x^(2) + y^(2) + 8x - 6y =...

    Text Solution

    |

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

    Text Solution

    |

  5. If the circle x^(2) + y^(2) + 8x - 4y + c = 0 touches the circle x^...

    Text Solution

    |

  6. If the circles x^(2) + y^(2) - 2lambda x - 2y - 7 = 0 and 3(x^(2) + y^...

    Text Solution

    |

  7. The circles (x + a)^(2) + (y + b)^(2) = a^(2), (x + alpha)^(2) + (y +...

    Text Solution

    |

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

    Text Solution

    |

  9. If the circles of same radius a and centre (2, - 3), (-4, 5) cut ortho...

    Text Solution

    |

  10. Find the equation of the circle which cuts orthogonally the circle x^2...

    Text Solution

    |

  11. If a circle passes through the point (a,b) and cuts the circle x^(2) ...

    Text Solution

    |

  12. The equation of the circle passing through (0,0) and cutting orthogona...

    Text Solution

    |

  13. The equation of the circle which passes the origin and cuts orthogonal...

    Text Solution

    |

  14. The equation of the circle cutting orthogonally the circles x^(2) + ...

    Text Solution

    |

  15. Find the equation of the circle which is orthogonal to each of the fol...

    Text Solution

    |

  16. The equation of the circle which cuts orthogonally the three circles ...

    Text Solution

    |

  17. A circle S cuts three circles x^(2) + y^(2) - 4x - 2y + 4 = 0 , x^(2...

    Text Solution

    |

  18. The equation of the circle which cuts orthogonally the three circles ...

    Text Solution

    |

  19. The circles orthogonal to the three circles x^(2) + y^(2) + a(i)x + b...

    Text Solution

    |

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

    Text Solution

    |