Home
Class 11
MATHS
If the abscissa and ordinates of two poi...

If the abscissa and ordinates of two points `Pa n dQ` are the roots of the equations `x^2+2a x-b^2=0` and `x^2+2p x-q^2=0` , respectively, then find the equation of the circle with `P Q` as diameter.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

The abscissae of two points A and B are the roots of the equation x^2+2ax-b^2=0 and their ordinates are the equation x^2+2px-q^2=0 .Find the equation and the radis of the circle with AB as diameter.

If p and q are the roots of the equation x^2+px+q =0, then

If , p , q are the roots of the equation x^(2)+px+q=0 , then

If the roots of the quadratic equation x^2+p x+q=0 are tan30^0 and tan15^0, respectively, then find the value of 2+q-pdot

If one root of the equations x^(2)+bx+12=0andx^(2)+bx+q=0 be 2, then find the value of q.

The abscissae of the two points A and B are the roots of the equation x^(2) + 2ax-b^(2) =0 and their ordinates are the roots of the equation x^(2)+2px-q^(2)=0 . Find the equation and the radius of the circle with bar(AB) as diameter.

If the circle x^2+y^2+2x+3y+1=0 cuts x^2+y^2+4x+3y+2=0 at A and B , then find the equation of the circle on A B as diameter.

If p. q are odd integers. Then the roots of the equation 2px^(2)+(2p+q)x+q=0 are

If p,q are odd integers, then the roots of the equation 2px^(2)+(2p+q)x+q=0 are

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Tangents PA and PB are drawn to x^2+y^2=a^2 from the point P(x1, y1)do...

    Text Solution

    |

  2. Let A=(-1,0),B=(3,0) and P Q be any line passing through (4, 1) having...

    Text Solution

    |

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

    Text Solution

    |

  4. The equation of radical axis of two circles is x + y = 1. One of the ...

    Text Solution

    |

  5. Find the parametric form of the equation of the circle x^2+y^2+p x+p y...

    Text Solution

    |

  6. S is a circle having the center at (0,a) and radius b(b < a)dot A vari...

    Text Solution

    |

  7. The point on a circle nearest to the point P(2,1) is at a distance of ...

    Text Solution

    |

  8. S(x ,y)=0 represents a circle. The equation S(x ,2)=0 gives two identi...

    Text Solution

    |

  9. Find the length of intercept, the circle x^2+y^2+10 x-6y+9=0 makes on ...

    Text Solution

    |

  10. Find the equation of the family of circle which touch the pair of stra...

    Text Solution

    |

  11. Find the center of the circle x=-1+2costheta,y=3+2sintheta.

    Text Solution

    |

  12. Column I|Column II (a)Two intersecting circle| p. have a common ...

    Text Solution

    |

  13. Find the equation of the circle which touches both the axes and the ...

    Text Solution

    |

  14. If the intercepts of the variable circle on the x- and y-axis are 2 ...

    Text Solution

    |

  15. The angle between a pair of tangents drawn from a point P to the circl...

    Text Solution

    |

  16. Two rods of lengths a and b slide along the x- and y-axis , respective...

    Text Solution

    |

  17. If a circle passes through the point intersection of the co-ordinate a...

    Text Solution

    |

  18. A circle with center at the origin and radius equal to a meets the axi...

    Text Solution

    |

  19. Two vertices of an equilateral triangle are (-1,0) and (1, 0), and its...

    Text Solution

    |

  20. The locus of the point of intersection of the tangents to the circle x...

    Text Solution

    |