Home
Class 12
MATHS
For the circles x^(2) + y^(2) - 2x + 3y ...

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

A

`-10`

B

1

C

5

D

`-3`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER 6

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos
  • SOLVED PAPER 04

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

The two circles x^(2) + y^(2) -2x + 6y + 6 = 0 and x^(2) + y^(2) -5x + 6y + 15 = 0

Prove that the circles x^(2) +y^(2) - 4x + 6y + 8 = 0 and x^(2) + y^(2) - 10x - 6y + 14 = 0 touch at the point (3,-1)

The two circles x^(2) + y^(2) - 2x + 22y + 5 = 0 and x^(2) + y^(2) + 14x + 6y + k = 0 intersect orthogonally provided k is equal to...

The value of k for which the circles x^2 - y^2 + 3x - 7y +k = 0 and x^2 + y^2 - 4x + 2y - 14 = 0 would intersect orthogonallys

The circles x^(2)+y^(2)+6 x+k=0 and x^(2)+y^(2)+8 y-20=0 touch each other internally. The value of k is

The value of k so that x^(2)+y^(2)+kx + 4y+ 2=0 and 2(x^(2) + y^(2)) - 4x - 3y + k = 0 cut orthogonally is

The angles between the circle x^2 + y^2 -2x - 6y - 39=0 and x^2 + y^2 + 10x - 4y + 20=0 is

If the circles x^(2)+y^(2)-2 x-2 y-7=0 and x^(2)+y^(2)+4 x+2 y+k=0 cut orthogonally, then the length of the common chord of the circles is

Given that the circle x^(2)+y^(2)+2 x-4 y+4=0 and x^(2)+y^(2)-2 x-4 y-4=0 touch each other the equation of the common tangtnt is

KCET PREVIOUS YEAR PAPERS-MODEL TEST PAPER 9-Mathematics
  1. The general value of theta which satisfies the equation (cos theta + i...

    Text Solution

    |

  2. The length of the tangent from the point (1, -4) to the circle 2x^(2) ...

    Text Solution

    |

  3. For the circles x^(2) + y^(2) - 2x + 3y + k = 0 and x^(2) + y^(2) + 8x...

    Text Solution

    |

  4. The equation to the parabola with focus (2, 0) and the directrix x + 3...

    Text Solution

    |

  5. If 2y = 5x + k is a tangent to the parabola y^(2) = 6x then k =

    Text Solution

    |

  6. The length of the latus - rectum of the ellipse (x^(2))/(25) + (y^(2))...

    Text Solution

    |

  7. P is any point on the ellipse 9x^(2) + 36y^(2) = 324 whose foci are S ...

    Text Solution

    |

  8. The product of the perpendiculars from the foci on any tangent to the ...

    Text Solution

    |

  9. int(e^(sqrt(x)))/(sqrt(x)) dx =

    Text Solution

    |

  10. underset(0)overset(a)int sqrt(a^(2) - x^(2)) dx =

    Text Solution

    |

  11. int(0)^(pi//2)(dx)/(a^(2)cos^(2)x + b^(2) sin^(2) x) =

    Text Solution

    |

  12. int(0)^(pi//2) log sin x dx =

    Text Solution

    |

  13. {:(Lt),(n->oo):}[(1)/(n+1) + (1)/(n+2) + … "to n terms"] =

    Text Solution

    |

  14. The area enclosed within the curve |x|+|y| = 1 is

    Text Solution

    |

  15. int(x^(2) + 1)/(x^(4) + 1) dx =

    Text Solution

    |

  16. If the position vectors of vec(A) and vec(B) are 3hat(i) - 2hat(j) + h...

    Text Solution

    |

  17. If a = I + j, b = j + k and c = k +i, a unit vector parallel to a + b...

    Text Solution

    |

  18. If |vec(a) + vec(b)| = |vec(a) - vec(b)| then

    Text Solution

    |

  19. If |vec(a)| = 5, |vec(b)| = 6 and the angle between vec(a) and vec(b) ...

    Text Solution

    |

  20. If |vec(a)| = 3, |vec(b) = 4 and |vec(a) + vec(b)| = 1, then |vec(a) -...

    Text Solution

    |