Home
Class 11
MATHS
The abscissa of the two points A and B a...

The abscissa of the two points A and B are the roots of the equation `x^2+2a x-b^2=0` and their ordinates are the roots of the equation `x^2+2p x-q^2=0.` Find the equation of the circle with AB as diameter. Also, find its radius.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    RD SHARMA ENGLISH|Exercise All Questions|216 Videos
  • THE STRAIGHT LINES

    RD SHARMA ENGLISH|Exercise All Questions|493 Videos

Similar Questions

Explore conceptually related problems

The abscissae of two points A and B are the roots of the equaiton x^2 + 2x-a^2 =0 and the ordinats are the roots of the equaiton y^2 + 4y-b^2 =0 . Find the equation of the circle with AB as its diameter. Also find the coordinates of the centre and the length of the radius of the circle.

The abscissa of A and B are the roots of the equation x^(2) + 2ax -b^(2) =0 and their ordinates are the roots of the equation y^(2) + 2py -q^(2) = 0. The equation of the circle with AB as diameter is

The abscisae of A and B are the roots of the equation x ^(2) + 2ax -b ^(2) =0 and their ordinates are the roots of the equation y ^(2) + 2 py -q ^(2) =0. The equation of the circle with AB as diameter is

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

Find the roots of the equation x^2+7x-1=0

Find the roots of the equation x^2 -10x+25=0

Find the roots of the equation 3x^2+6x+3=0

Find the roots of the equation x^2+7x+10=0 .

If p + iq be one of the roots of the equation x^(3) +ax +b=0 ,then 2p is one of the roots of the equation

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

RD SHARMA ENGLISH-THE CIRCLE-All Questions
  1. Find the equation of the circle which passes through the origin and ...

    Text Solution

    |

  2. Find the equation of the circle whose diameter is the line segment j...

    Text Solution

    |

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

    Text Solution

    |

  4. ABCD is a square in first quadrant whose side is a, taking AB and AD a...

    Text Solution

    |

  5. The line 2x -y +6= 0 meets the circle x^2+y^2 -2y-9 =0 at A and B. Fin...

    Text Solution

    |

  6. Find the equation of the circle which circumscribes the triangle forme...

    Text Solution

    |

  7. Write the length of the intercept made by the circle x^2+y^2+2x-4y-5=0...

    Text Solution

    |

  8. Write the coordinates of the centre of the circle passing through (...

    Text Solution

    |

  9. Write the area of the circle passing through (-2, 6) and having its ...

    Text Solution

    |

  10. If the abscissa and ordinates of two points Pa n dQ are the roots of t...

    Text Solution

    |

  11. Write the equation of the unit circle concentric with x^2+y^2-8x+4y-8=...

    Text Solution

    |

  12. Find the number of integral values of lambda for which x^2+y^2+lambdax...

    Text Solution

    |

  13. Write the equation of the circle passing through (3,4) and touching ...

    Text Solution

    |

  14. If the line y=m x does not intersect the circle (x+10)^2+(y+10)^2=180 ...

    Text Solution

    |

  15. Write the coordinates of the center of the circle inscribed in the s...

    Text Solution

    |

  16. The equation x^2+y^2+2x-4y+5=0 represents a. a point b. a pair of s...

    Text Solution

    |

  17. If the equation (4a-3)x^2+a y^2+6x-2y+2=0 represents a circle, then it...

    Text Solution

    |

  18. The equation of the circle passing through the point (1,1) and having ...

    Text Solution

    |

  19. If the centroid of an equilateral triangle is (1,1) and its one vertex...

    Text Solution

    |

  20. The equation of the incircle of the triangle formed by the axes and th...

    Text Solution

    |