Home
Class 12
MATHS
If the abscissae of points A, B are the ...

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.

A

(2,7/2)

B

(-2,7/2)

C

(2,-7/2)

D

(-2,-7/2)

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE II|169 Videos

  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.4|38 Videos

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

Similar Questions

Explore conceptually related problems

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 a circle for which overline(AB) is a diameter.

Find the roots of the equation 3x^(2)+2x-5=0

The roots of the equation x^(2)+2ax+a^(2)+b^(2)=0 are

The abscissae of two points A and B are the roots of the equation x^(2)+2ax-b^(2)=0 and their ordinate are the roots fo the equations y^(2)+2py-q^(2)=0 then the radius of the circle with AB as diameter is

The roots of the equation (b-c) x^2 +(c-a)x+(a-b)=0 are

The roots of the equation ( a-b) x^2 +(b-c) x+ (c-a) =0 are

Find the roots of the Quadratic equation x^2+2x-3=0 .

IF 3+i is a root of the equation x^2 + ax + b=0 then a=

The roots of the equation 2(a ^2 +b^2)x^2+2(a+b)x+1=0 are

The roots of the equation x^(2)-2ax+8a-15=0 are equal, then a =

AAKASH SERIES-CIRCLES-PRACTICE EXERCISE
  1. If a circle is inscribed in a square of side 10, so that the circle t...

    Text Solution

    |

  2. Show that the equation of the circle which pass through the points (1,...

    Text Solution

    |

  3. If the abscissae of points A, B are the roots of the equation x^(2) + ...

    Text Solution

    |

  4. The abscissae of two points A and B are the roots of the equation x^(2...

    Text Solution

    |

  5. The circle described on the line joining the points (0,1), (a,b) as di...

    Text Solution

    |

  6. The equation of the circle passing through (3,0) and (0,4) and having ...

    Text Solution

    |

  7. The line x/a+y/b=1 cuts the coordinate axes at a and B a line perpendi...

    Text Solution

    |

  8. A(cos theta, sin theta), B (sin theta,- cos theta) are two points then...

    Text Solution

    |

  9. A circle of radius r passes through the origin and meets the axes at A...

    Text Solution

    |

  10. A rod AB of length 3 units moves vertically with its bottom B always a...

    Text Solution

    |

  11. A square is inscribed in the circle x^(2)+y^(2)-2x+4y-93=0 with its si...

    Text Solution

    |

  12. An equilateral triangle is inscribed in the circle x^(2)+y^(2)=a^(2). ...

    Text Solution

    |

  13. Find the equation of image circle of the circle x^(2)+y^(2)-2x=0 in th...

    Text Solution

    |

  14. The shortest distance of (-5,4) to the circle x^(2)+y^(2)-6x+4y-12=0 i...

    Text Solution

    |

  15. The circle passing through (0,0),(a,0), (0,b) is

    Text Solution

    |

  16. The radius of the circle passing through the points (0,0),(0,3),(4,0) ...

    Text Solution

    |

  17. If a square of side 10 is inscribed in a circle then radius of the cir...

    Text Solution

    |

  18. If the lines lx+2y +3=0 and 2y+mx+4=0 cut the co-ordinate axes in conc...

    Text Solution

    |

  19. If the lines 2x-3y+7=0, 3x+ky+5=0 cut the coordinate axes in concyclie...

    Text Solution

    |

  20. The lines 2x+3y+19=0 and 9x+6y-17=0 cuts the coordinate axes in

    Text Solution

    |