Home
Class 11
MATHS
If the two circles 2x^2+2y^2-3x+6y+k=0 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` .

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

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

Show that the circles x^(2)+y^(2)-6x+4y+4=0and x^(2)+y^(2)+x+4y+1=0 cut orthogonally.

If the circles x^(2) + y^(2) = k and x^(2) + y^(2) + 8x - 6y + 9 = 0 touch externally, then the value of k is

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

Find the equation of the circle which cuts the circles x^2+y^2-4x-6y+11=0 and x^2+y^2-10x-4y+21=0 orthogonally and has the diameter along the line 2x+3y=7.

Two circles x^(2) + y^(2) + ax + ay - 7 = 0 and x^(2) + y^(2) - 10x + 2ay + 1 = 0 will cut orthogonally if the value of a is

Show that the circles x^2 + y^2 - 2x-6y-12=0 and x^2 + y^2 + 6x+4y-6=0 cut each other orthogonally.

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

If the circle x^2 + y^2 + 2x - 2y + 4 = 0 cuts the circle x^2 + y^2 + 4x - 2fy +2 = 0 orthogonally, then f =

The angle between the circles x^2+y^2-2x-4y+3=0 and x^2+y^2-4x-6y+11=0 is

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Consider the circles x^2+(y-1)^2=9,(x-1)^2+y^2=25. They are such that ...

    Text Solution

    |

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

    Text Solution

    |

  3. If the two circles 2x^2+2y^2-3x+6y+k=0 and x^2+y^2-4x+10 y+16=0 cut or...

    Text Solution

    |

  4. Find the condition that the circle (x-3)^2+(y-4)^2=r^2 lies entirely w...

    Text Solution

    |

  5. Find the locus of the center of the circle which cuts off intercepts o...

    Text Solution

    |

  6. Find the equation of a circle whose centre is (3,-1) and which cuts of...

    Text Solution

    |

  7. Find the equation of the circle which touches both the axes and the ...

    Text Solution

    |

  8. Find the equation of the circle which touches the x-axis and whose ...

    Text Solution

    |

  9. Find the equations of the circles which pass through the origin and cu...

    Text Solution

    |

  10. Find the radius of the circle (x-5)(x-1)+(y-7)(y-4)=0 .

    Text Solution

    |

  11. Find the equation of the circle which passes through the points (3,-2)...

    Text Solution

    |

  12. Prove that the locus of the centroid of the triangle whose vertices ar...

    Text Solution

    |

  13. If one end of the diameter of the circle 2x^2+2y^2-4x-8y+2=0 is (3,2),...

    Text Solution

    |

  14. If a circle whose center is (1,-3) touches the line 3x-4y-5=0 , then f...

    Text Solution

    |

  15. Prove that the locus of the point that moves such that the sum of the ...

    Text Solution

    |

  16. Column I|Column II The length of the common chord of two circles...

    Text Solution

    |

  17. The number of integral values of lambda for which the equation x^2+y^2...

    Text Solution

    |

  18. Let C1 and C2 be two circles whose equations are x^2+y^2-2x=0 and x^2+...

    Text Solution

    |

  19. Find the points on the circle x^2+y^2-2x+4y-20=0 which are the farthes...

    Text Solution

    |

  20. If the line xcostheta+ysintheta=2 is the equation of a transverse comm...

    Text Solution

    |