Home
Class 11
MATHS
If the circles x^2+y^2+2x+2ky+6=0 and x^...

If the circles `x^2+y^2+2x+2ky+6=0` and `x^2+y^2+2ky+k=0` intersect orthogonally then k equals (A) `2 or -3/2` (B) `-2 or -3/2` (C) `2 or 3/2` (D) `-2 or 3/2`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

If the curves 2x^(2)+3y^(2)=6 and ax^(2)+4y^(2)=4 intersect orthogonally, then a =

If the two circles 2x^2+2y^2-3x+6y+k=0 and x^2+y^2-4x+10 y+16=0 cut orthogonally, then find the value of k .

If the two circles 2x^2+2y^2-3x+6y+k=0 and x^2+y^2-4x+10 y+16=0 cut orthogonally, then find the value of k .

The circles x^2+y^2-6x-8y+12=0, x^2+y^2-4x+6y+k=0 , cut orthogonally then k=

Find k if the circles x^2+y^2-5x-14y-34=0 and x^2+y^2+2x+4y+k=0 are orthogonal to each other.

Show that x^3-3x y^2=(-2) and 3x^2\ y-y^3=2 intersect orthogonally.

For the circles 3x^2+3y^2+x+2y-1=0 , 2x^2+2y^2+2x-y-1=0 radical axis is

The two circles x^(2)+y^(2)-2x-3=0 and x^(2)+y^(2)-4x-6y-8=0 are such that

If the circles x^2+y^2-2x-2y-7=0 and x^2+y^2+4x+2y+k=0 cut orthogonally, then the length of the common chord of the circles is a.(12)/(sqrt(13)) b. 2 c. 5 d. 8

The equation of the circle passing through the point of intersection of the circles x^2 + y^2 - 6x + 2y + 4 = 0 and x^2 + y^2 + 2x - 6y - 6=0 and having its centre on y=0 is : (A) 2x^2 + 2y^2 + 8x + 3 = 0 (B) 2x^2 + 2y^2 - 8x - 3 = 0 (C) 2x^2 + 2y^2 - 8x + 3 = 0 (D) none of these

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. A straight line l1 with equation x-2y+10=0 meets the circle with equat...

    Text Solution

    |

  2. Let C be a circle with two diameters intersecting at an angle of 30^0d...

    Text Solution

    |

  3. If the circles x^2+y^2+2x+2ky+6=0 and x^2+y^2+2ky+k=0 intersect ortho...

    Text Solution

    |

  4. An acute triangle PQR is inscribed in the circle x^2+y^2= 25. If Q and...

    Text Solution

    |

  5. A circle is given by x^2 + (y-1) ^2 = 1, another circle C touches it e...

    Text Solution

    |

  6. If one of the diameters of the circle x^2+y^2-2x-6y+ 6 = 0 is a chord ...

    Text Solution

    |

  7. The centre of circle inscribed in a square formed by lines x^2-8x+12...

    Text Solution

    |

  8. If the tangent at the point on the circle x^2+y^2+6x +6y=2 meets the ...

    Text Solution

    |

  9. Consider square A B C D of side length 1. Let P be the set of all segm...

    Text Solution

    |

  10. The number of intergral value of y for which the chord of the circle x...

    Text Solution

    |

  11. Statement 1 : The circle having equation x^2+y^2-2x+6y+5=0 intersects ...

    Text Solution

    |

  12. Statement 1 : The center of the circle having x+y=3 and x-y=1 as its n...

    Text Solution

    |

  13. Statement 1 : The equations of the straight lines joining the origi...

    Text Solution

    |

  14. Statement 1 : Points A(1,0),B(2,3),C(5,3),a n dD(6,0) are concyclic. S...

    Text Solution

    |

  15. Statement I The chord of contact of tangent from three points A, B and...

    Text Solution

    |

  16. Statement 1 : The equation x^2+y^2-2x-2a y-8=0 represents, for differe...

    Text Solution

    |

  17. The circles having radii r1 and r2 intersect orthogonally. Find the le...

    Text Solution

    |

  18. Tangents P A and P B are drawn to x^2+y^2=9 from any arbitrary poin...

    Text Solution

    |

  19. The two circles which pass through (0,a)a n d(0,-a) and touch the line...

    Text Solution

    |

  20. If the pair of straight lines x ysqrt(3)-x^2=0 is tangent to the circl...

    Text Solution

    |