Home
Class 12
MATHS
If y=mx be the equation of a chord of th...

If `y=mx` be the equation of a chord of the circle prove that the circle of which this chord is the diameter is `(1+m^2)(x^2+y^2)-2a(x+my)=0`

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

If y+3x=0 is the equation of a chord of the circle,x^(2)+y^(2)-30x=0, then the equation of the circle with this chord as diameter is:

y=2x is a chord of the circle x^(2)+y^(2)-10x=0, then the equation of a circle with this chord as diameter is

If y=2x is the chord of the circle x^(2)+y^(2)-4x=0, find the equation of the circle with this chord as diameter.

If y=2x is a chord of the circle x^(2)+y^(2)-10x=0, find the equation of a circle with this chord as diameter.

The equation to the chord of the circle x^(2) + y^(2) = 16 which is bisected at (2, – 1) is

Find the equation of that chord of the circle x^(2)+y^(2)=15, which is bisected at the point (3,2)

Find the equation of the chord of the circle x^(2)+y^(2)=9 whose middle point is (1,-2)

The radius of the circle,having centre at (2,1), whose one of the chord is a diameter of the circle x^(2)+y^(2)-2x-6y+6=0

The equation of the chord of the circle x^(2)+y^(2)-6x+8y=0 which is bisected at the point (5, -3), is

A DAS GUPTA-Circles-EXERCISE
  1. Tangents are drawn from the point (h,k) to ^circle x^2+y^2 =a^2; Prove...

    Text Solution

    |

  2. Find the equation of the circle which has for its diameter the chord o...

    Text Solution

    |

  3. If y=mx be the equation of a chord of the circle prove that the circle...

    Text Solution

    |

  4. Prove that the circle x^2 + y^2-6x-4y+9=0 bisects the circumference of...

    Text Solution

    |

  5. The equation of the circle on the common chord of the circles (x-a)^(2...

    Text Solution

    |

  6. Find the equation of the circle passing through the intersection of th...

    Text Solution

    |

  7. Find the equation of the circle passing through the point of intersect...

    Text Solution

    |

  8. Find the equation of the circle whose diameter is the common chord of ...

    Text Solution

    |

  9. The line Ax+By+=0 cuts the circle by x^2+y^2+Ax+By+C=0at P and Q. The ...

    Text Solution

    |

  10. Prove that the equation x^(2)+y^(2)-2x-2ay-8=0, a in R represents the...

    Text Solution

    |

  11. The common chord of the circle x^2+y^2+6x+8y-7=0 and a circle passing ...

    Text Solution

    |

  12. Consider a family of circles passing through two fixed points A (3,7) ...

    Text Solution

    |

  13. If the circle C1: x^2 + y^2 = 16 intersects another circle C2 of radiu...

    Text Solution

    |

  14. The equation of the circle passing through the origin & cutting the ci...

    Text Solution

    |

  15. The equation of the circle which passes through the origin, center lie...

    Text Solution

    |

  16. Prove that the two circles each of which passes through the point (0, ...

    Text Solution

    |

  17. If the equations of two circles, whose radii are r and R respectively,...

    Text Solution

    |

  18. The centre of the circle S=0 lies on the line 2x-2y+9=0 and it cuts th...

    Text Solution

    |

  19. The centre of the circle that cuts the circle x^2 +y^2 + 2g x + 2fy + ...

    Text Solution

    |

  20. Find the equation of a circle which is co-axial with circles 2x^2 + 2y...

    Text Solution

    |