Home
Class 12
MATHS
B and C are two points on the circle x^2...

B and C are two points on the circle `x^2+y^2=a^2` point A (b,c) lies on that circle such that AB = AC = d, then the equation of the line `harr(BC)` is

A

`bx + ay = a^(2)- d^(2)`

B

`bx + ay = d^(2) - a^(2) `

C

`bx + cy = 2a^(2) - d^(2)`

D

`2 (bx + cy) = 2a^(2) - a^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF CIRLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET -1)|9 Videos
  • SYSTEM OF CIRLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET -2)|1 Videos
  • SYSTEM OF CIRLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-4 )|4 Videos
  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET-4)|12 Videos
  • THE PLANE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET 4|4 Videos

Similar Questions

Explore conceptually related problems

If the straight line represented by x cos alpha + y sin alpha = p intersect the circle x^2+y^2=a^2 at the points A and B , then show that the equation of the circle with AB as diameter is (x^2+y^2-a^2)-2p(xcos alpha+y sin alpha-p)=0

The point (-1,0) lies on the circle x^2+y^2-4x+ 8y + k=0 . The radius of the circle is

If the polars of points on the circle x^2+y^2=a^2 w.r.t. the circle x^2+y^2=b^2 touch the circle x^2+y^2=c^2 then a, b, c are in

If A and B are the points (-3, 4), (2, 1) then the coordinates of point C on AB produced such that AC = 2BC are

If a tangnet drawn from the point (4,0) to the circle x^(2)+y^(2)=8 touches it at a point A in the first quadrant, then the coordinates of another point B on the circle such that AB=4 are

If the abscissae of points A, B are the roots of the equation x^(2) + 2ax -b^(2) =0 and ordinates of A, B are roots of y^(2) + 2py -q^(2) =0 , then find the equation of the circle for which AB is a diameter.

If x - y + 1 = 0 meets the circle x^(2) + y^(2) + y - 1 = 0 at A and B , then the equation of the circle with AB as diameter is

Tangents AB and AC are drawn to the circle x^(2)+y^(2)-2x+4y+1=0 from A(0,1) then equation of circle passing through A,B and C is

If the straight line 2x + 3y = 1 intersects the circle x^2 + y^2 = 4 at the points A and B, then find the equation of the circle having AB as diameter.

DIPTI PUBLICATION ( AP EAMET)-SYSTEM OF CIRLES -EXERCISE 1
  1. If the radical axis of two circles with centres A and B bisects AB the...

    Text Solution

    |

  2. The centres of the circles are (a,c) and (b,c) and their radical axis ...

    Text Solution

    |

  3. B and C are two points on the circle x^2+y^2=a^2 point A (b,c) lies ...

    Text Solution

    |

  4. A line l meets the circle x^(2) + y^(2) = 61 in A , B and P(-5,6) i...

    Text Solution

    |

  5. The circles x^(2) + y^(2) = 1 , x^(2) + y^(2) + 6x - 2y = 1 " and " ...

    Text Solution

    |

  6. If the circles x^2 + y^2 + 2ax + cy + a =0 and x^2 + y^2 - 3ax + dy - ...

    Text Solution

    |

  7. If aa circle passes through the point (a,b) and cuts the cirlce x^(2)...

    Text Solution

    |

  8. The locus of the centre of the circle, which cuts the circle x^(2) + y...

    Text Solution

    |

  9. A circle passes through the points (3,4) and cuts the circle x^(2) + ...

    Text Solution

    |

  10. The equation of the common tangent at the point contact of the circles...

    Text Solution

    |

  11. The equation of the common chord of the two circles x^(2) +y^(2) + 2...

    Text Solution

    |

  12. The equation of the common chord of the two circles (x -a)^(2) + (y...

    Text Solution

    |

  13. The distance from (1,2) to the radical axis of the circles x^(2) + ...

    Text Solution

    |

  14. The distanc of the point (1,-2) from the common chord of the circles ...

    Text Solution

    |

  15. The distance of the point (1,-2) from the common chord of the circles ...

    Text Solution

    |

  16. The length of the common chord of the circles of radii 15 and 20, whos...

    Text Solution

    |

  17. The length of the common chord of the circles x^(2) + y^(2) + 2x + ...

    Text Solution

    |

  18. The length of the common chord of the two circles x^(2) + y^(2) - 4y ...

    Text Solution

    |

  19. The length of the common chord of the circles x^(2) + y^(2) + 2hx = 0...

    Text Solution

    |

  20. The equation of the common chord of the two circles (x -a)^(2) + (y...

    Text Solution

    |