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` .

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

If the two circles 2x^(2) +2y^(2) -3x+6y+k=0 and x^(2) +y^(2) -4x +10y +16=0 cut orthogonally, then the vlaue of k is-

If the circles x^2 + y^2 + 2x + 2ky + 6 = 0 and x^2 + y^2 + 2ky + k = 0 intersect orthogonally, then k is equal to _____

If 4x^(2)+ py^(2) =45 and x^(2)-4y^(2) =5 cut orthogonally, then the value of p is

If x^2+y^2-4x-6y+13=0 , then find the value of (x+y):(y-x).

If the curves y^(2)= 4x and xy = k cut orthogonally, then the value of k^(2) will be-

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

If the circles x^(2) + y^(2) + 2x + 2ky + 6 = 0 and x^(2) + y^(2) + 2ky + k = 0 intersect orthogonally , then k is equal to _

If the curves a y+x^2=7 and x^3=y cut orthogonally at (1,1) , then find the value adot

The circe x ^(2) +y^(2) +8y-4 =0 cuts the real circel x ^(2) +y^(2) +gx +4=0 orthogonally , then the value of g is-

A circle through the common points of the circles x^(2) + y^(2) - 2x - 4y + 1 = 0 and x^(2) + y^(2) - 2x - 6y + 1 = 0 has its centre on the line 4x - 7y - 19 = 0 . Find the centre and radius of the circle .

CENGAGE PUBLICATION-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 the circle with center at (3,-1) and which cuts o...

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. Find the values of alpha for which the point (alpha-1,alpha+1) lies in...

    Text Solution

    |