Home
Class 11
MATHS
S(x ,y)=0 represents a circle. The equat...

`S(x ,y)=0` represents a circle. The equation `S(x ,2)=0` gives two identical solutions: `x=1` . The equation `S(1,y)=0` given two solutions: `y=0,2.` Find the equation of the circle.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

The equation y^(2)-x^(2)+2x-1=0 , represents

The solution of the equation (x^2y+x^2)dx+y^2(x-1)dy=0 is given by

If the line 2x-y+1=0 touches the circle at the point (2,5) and the centre of the circle lies in the line x+y-9=0. Find the equation of the circle.

Find the parametric form of the equation of the circle x^2+y^2+p x+p y=0.

Find the parametric form of the equation of the circle x^2+y^2+p x+p y=0.

Find the sum of all the real solution (s) to the equation (x+y)^(2)=(x+1)(y-1).

Find a particular solution of the differential equation (x+1)(dy)/(dx)=2e^(-y)-1 given that y = 0 when x = 0 .

If x=1\ a n d\ y=6 is a solution of the equation 8x-a y+a^2=0 , find the value of a

Find the general solution of the equation given by (dy)/(dx) + (1+y^(2))/(1+x^(2)) = 0

Find the particular solution of the differential equation: (1+e^2x)dy+(1+y^2)e^xdx=0 , given that y(0)=1

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. S is a circle having the center at (0,a) and radius b(b < a)dot A vari...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. Column I|Column II Two intersecting circle|p. have a common tang...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. The angle between the pair of tangents drawn from a point P to the cir...

    Text Solution

    |

  11. Two rods of lengths aa n db slide along the x- and y-axis , respective...

    Text Solution

    |

  12. If a circle passes through the points of intersection of the coordinat...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. If two distinct chords, drawn from the point (p, q) on the circle x^2+...

    Text Solution

    |

  17. Find the locus of the center of the circle touching the circle x^2+y^2...

    Text Solution

    |

  18. If the line a x+b y=2 is a normal to the circle x^2+y^2+4x+4y=0 and a ...

    Text Solution

    |

  19. If a line segement A M=a moves in the plane X O Y remaining parallel t...

    Text Solution

    |

  20. The ends of a quadrant of a circle have the coordinates (1, 3) and (3,...

    Text Solution

    |