Home
Class 12
MATHS
(iii)If two circles cut a third circle o...

(iii)If two circles cut a third circle orthogonally; then the radical axis of two circle will pass through the center of the third circle .

Promotional Banner

Topper's Solved these Questions

  • Circles

    A DAS GUPTA|Exercise EXERCISE|122 Videos
  • Binomial Theorem for Positive Integrel Index

    A DAS GUPTA|Exercise Exercise|113 Videos
  • Circular Functions, Identities

    A DAS GUPTA|Exercise Exercise|300 Videos

Similar Questions

Explore conceptually related problems

Radical Axis Of Two Circles

If two circles each of unit radius intersect orthogonally,the common area of the circles is

The radii of two circles are 15 cm and 8 cm.If the area of a third circle is equal to the sum of the areas of the two circles, then what will be the radius of the third circle?

(iv) The position of the radical axis of the two circles geometrically is as:

One circle has a radius of 5 and its centre at (0,5). A second circle has a radius of 12 and its centre at (12,0). What is the length of a radius of a third circle which passes through the centre of the second circle and both the points of intersection of the first two circles.

The radii of two circles are 20 cm and 15 cm respectively. If a third circle has an area which is equal to the sum of the areas of the two given circles, what will be the radius of the third circle?

(a,c) and (b,c) are the centres of two circles whose radical axis is the y-axis.If the radius of the first circle is r then the diameter of the other circle is

A DAS GUPTA-Circles-EXERCISE
  1. (iii)If two circles cut a third circle orthogonally; then the radical ...

    Text Solution

    |

  2. Find the equation of a circle whose diameter has the length 20 and the...

    Text Solution

    |

  3. Find the equations of the circles touching y-axis at (0,3) and making ...

    Text Solution

    |

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

    Text Solution

    |

  5. The abscissa of the two points A and B are the roots of the equation x...

    Text Solution

    |

  6. Let A = (0,1) and B=(-p/2,(q+1)/2) be two fixed points in a plane. Let...

    Text Solution

    |

  7. Find the area of the triangle formed by the lines y = x, y= 2x, y=3x+4

    Text Solution

    |

  8. Find the length of the chord x^2+y^2-4y=0 along the line x+y=1. Also f...

    Text Solution

    |

  9. Prove that the circles x^2 + y^2-9 = 4r^2,r = 1,2,3 cut off equal int...

    Text Solution

    |

  10. Determine all those values of p in R for which two chords can be drawn...

    Text Solution

    |

  11. A circle of radius 2 lies in the first quadrant and touches both the a...

    Text Solution

    |

  12. Show that the circles x^2+y^2-10 x+4y-20=0 and x^2+y^2+14 x-6y+22=0 to...

    Text Solution

    |

  13. Two circles, each of radius 5 units, touch each other at (1, 2). If th...

    Text Solution

    |

  14. Prove that x^2+y^2=a^2 and (x-2a)^2+y^2=a^2 are two equal circles touc...

    Text Solution

    |

  15. The equation of the circle which touches the circle x^2+y^2-6x+6y+17 =...

    Text Solution

    |

  16. Find the area of equilateral triangle inscribed in a circle x^2+y^2+2g...

    Text Solution

    |

  17. Find the area of the triangle formed by the tangents from the point (4...

    Text Solution

    |

  18. Find the equations of the circles passing through the point (-4,3) and...

    Text Solution

    |

  19. The equation of one of the circles which touch the pair of lines x^2 -...

    Text Solution

    |

  20. Lines 5x + 12 y -10=0 and 5x - 12y - 40=0touch a circle C(1) of diamet...

    Text Solution

    |

  21. Find the equation of the circle passing through the points A(4,3). B(...

    Text Solution

    |