Home
Class 12
MATHS
Radical axis of any two circles of the f...

Radical axis of any two circles of the family of circle `x^(2)+y^(2)+2lambdax+4=0,lambda in R` is always parallel to

A

`y=x`

B

`y=-x`

C

`x=K` (K is constant)

D

`y=K` (K is constant)

Text Solution

Verified by Experts

The correct Answer is:
C

`b^(2)=acimplies-b^(2)+ac=0`
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    VIBRANT|Exercise PART-II : MATHEMATICS|20 Videos

Similar Questions

Explore conceptually related problems

Radical Axis Of Two Circles

2x^(2)+2y^(2)+4 lambda x+lambda=0 represents a circle for

A circle S=0 passes through the common points of family of circles x^(2)+y^(2)+lambda x-4y+3=0 and (lambda varepsilon R) has minimum area then (A) area of S=0 is pi sq. units (C) radius of director circle of S=0 is 1 unit (D) S=0 never cuts |2x|=1 (B) radius of director circle of S=0 is sqrt(2)

Total number of lines touching atleast two circles of the family of four circles x^(2) + y^(2) +- 8x +- 8y = 0 is

2x^(2)+2y^(2)+2 lambda x+lambda^(2)=0 represents a circle for

At what point on the circle x^(2)+y^(2)-2x-4y+1=0, the tangent is parallel to x-axis.

If tangent to any member of family of hyperbolas xy=4sin^(2)theta , theta in (0,2pi)-{pi} is not a normal to any member of family of circles x^(2)+y^(2)-2x2y+mu=0 , where mu is any real parapmeter, then theta belongs to

The centre of family of circles cutting the family of circles x^(2)+y^(2)+4x(lambda-(3)/(2))+3y(lambda-(4)/(3))-6(lambda+2)=0 orthogonally,lies on

Find the orthogonal of the family of circles x^(2) + y^(2) = 2ax each of which touches the y-axis at origin.

The parametric coordinates of any point on the circle x^(2) + y^(2) – 4x – 4y = 0 are

VIBRANT-TEST PAPERS-PART - I : MATHEMATICS
  1. If y=ax^(2)+bx+c is the reflection of parabola y=x^(2)-4x+1 about the ...

    Text Solution

    |

  2. The locus of a moving point so that tangents from it to circle x^(2)+y...

    Text Solution

    |

  3. Locus of a point that divides a chord having slope 4 hyperbola xy=1 in...

    Text Solution

    |

  4. The chords of contact of a point with respect to a hyperbola and its a...

    Text Solution

    |

  5. A tangent to x^(2)=32y meets xy=c^(2) at P & Q. The locus of mid-poin...

    Text Solution

    |

  6. Rectangle ABCD has area 200. An ellipse with area 200pi passes through...

    Text Solution

    |

  7. If the centroid of traingle formed by point (0,0) (costheta,sintheta) ...

    Text Solution

    |

  8. Locus of the mid-points of all chords of the parabola y^(2)=4ax which ...

    Text Solution

    |

  9. The co-ordinates of the points on the barabola y^(2) =8x, which is at ...

    Text Solution

    |

  10. Line x-y=1 intersect the parabola y^(2)=4x at A and B. Normals at A ...

    Text Solution

    |

  11. Length of common chord of the curve y^(2)-4x-4=0 " and "4x^(2)+9y^(2)=...

    Text Solution

    |

  12. Number of normal(s) that can be drwan through the point (sqrt(2),0)) t...

    Text Solution

    |

  13. Centre of the ellipse 3x^(2)+4y^(2)-12x-8y+4=0

    Text Solution

    |

  14. The sum of the distances of any point on the ellipse 3x^2 + 4y^2 = 12 ...

    Text Solution

    |

  15. Angle between the hyperbolas xy=c^(2)" and "x^(2)-y^(2)=a^(2) is

    Text Solution

    |

  16. Radical axis of any two circles of the family of circle x^(2)+y^(2)+2l...

    Text Solution

    |

  17. Consider the parabola y^(2)=4x, let P and Q be two points (4,-4) and (...

    Text Solution

    |

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

    Text Solution

    |

  19. If A(sinalpha,(1)/(sqrt(2)))" and "B((1)/(sqrt(2)),cosalpha)-pilealpha...

    Text Solution

    |

  20. Three vertices of a quadrilateral in order are (6,1)(7,2)" and "(-1,0)...

    Text Solution

    |