Home
Class 11
MATHS
Statement 1 : Let S1: x^2+y^2-10 x-12 y-...

Statement 1 : Let `S_1: x^2+y^2-10 x-12 y-39=0,` `S_2 x^2+y^2-2x-4y+1=0` and `S_3:2x^2+2y^2-20 x=24 y+78=0.` The radical center of these circles taken pairwise is `(-2,-3)dot` Statement 2 : The point of intersection of three radical axes of three circles taken in pairs is known as the radical center.

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

Find the point of intersection of the circle x^2+y^2-3x-4y+2=0 with the x-axis.

The slope of the radical axis of the circles x^2+y^2+3x+4y-5=0 and x^2+y^2-5x+5y+6=0 is

The intercept made by the radical axis of the circles x^2+y^2+6x-16=0 and x^2+y^2-2x-6y-6=0 on x-axis is

The equation of the circle passing through (1,2) and the points of intersection of the circles x^2+y^2-8x-6y+21=0 and x^2+y^2-2x-15=0 is

The distance from origin to the radical axis of the circles x^2+y^2-3x+2y-4=0, x^2+y^2+x-y+1=0 is

The points of intersection of the line 4x-3y-10=0 and the circle x^2+y^2-2x+4y-20=0 are ________ and ________

Observe the following statements: statement I: The radical centre of S-=x^2+y^2-1=0 S' -= x^2+y^2+6x-2y-1=0 S''-=x^2+y^2-12x+4y-1=0 does not exist. statement II : The radical centre of three circles whose centers are collinear does not exist because radical axes of each pair of circles are parallel.

Find the equation of the radical axis of circles x^2+y^2+x-y+2=0 and 3x^2+3y^2-4x-12=0

The four point of intersection of the lines ( 2x -y +1) ( x- 2y +3) = 0 with the axes lie on a circle whose center centre is at the point :

The equation of the circle having its centre on the line x+2y-3=0 and passing through the points of intersection of the circles x^2+y^2-2x-4y+1=0a n dx^2+y^2-4x-2y+4=0 is

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Two circle are externally tangent. Lines PAB and P A 'B ' are common t...

    Text Solution

    |

  2. Prove that quadrilateral A B C D , where A B-=x+y-10 ,B C-=x-7y+50=0,C...

    Text Solution

    |

  3. Statement 1 : Let S1: x^2+y^2-10 x-12 y-39=0, S2 x^2+y^2-2x-4y+1=0 an...

    Text Solution

    |

  4. Find the locus of the midpoint of the chords of the circle x^2+y^2-ax-...

    Text Solution

    |

  5. Let the lines (y-2)=m1(x-5) and (y+4)=m2(x-3) intersect at right angle...

    Text Solution

    |

  6. A variable circle passes through the point A(a ,b) and touches the x-a...

    Text Solution

    |

  7. Find the equation of the circle if the chord of the circle joining (1,...

    Text Solution

    |

  8. Find the equation of the circle which passes through (1, 0) and (0, 1)...

    Text Solution

    |

  9. Tangents are drawn from the origin to the circle x^2+y^2-2h x-2h y+h^2...

    Text Solution

    |

  10. Let A (-2,-2)and B (2,2) be two points AB subtends an angle of 45^@ at...

    Text Solution

    |

  11. Consider the family of circles x^2+y^2-2x-2lambday-8=0 passing throug...

    Text Solution

    |

  12. If a circle passes through the point (0,0),(a ,0)a n d(0, b) , then fi...

    Text Solution

    |

  13. The line 3x+6y=k intersects the curve 2x^2+3y^2=1 at points A and B . ...

    Text Solution

    |

  14. Find the equation of the circle which passes through the points (1,-2)...

    Text Solution

    |

  15. If real numbers x and y satisfy (x+5)^2+(y-12)^2=(14)^2, then the mini...

    Text Solution

    |

  16. Show that a cyclic quadrilateral is formed by the lines 5x+3y=9,x=3y ,...

    Text Solution

    |

  17. A circle x^2+y^2+4x-2sqrt(2)y+c=0 is the director circle of the circle...

    Text Solution

    |

  18. A point P moves in such a way that the ratio of its distance from two ...

    Text Solution

    |

  19. The sum of the slopes of the lines tangent to both the circles x^2+y^2...

    Text Solution

    |

  20. Prove that the maximum number of points with rational coordinates on a...

    Text Solution

    |