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.

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

x = 0 , y = 0 represent the equation of _

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

Find the value of k, if x = 2, y =1 is a solution of the equation 2x + 3y = k. Find two more solutions of the resultant equation.

The solution of the equation (dy)/(dx)+y=e^(-x), y(0)=0 is -

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

3x+y=5 and x+y-1=0 are the equations of two diamters to the circle,which passes through the point (-2,2).Find the equation of the circle.

The equation 8x^2+12y^2-4x + 4y-1=0 represents

A circle through the common points of the circles x^2+y^2-x+7y-3=0 and x^2+y^2-5x+y+1=0 has its centre on the line x+y=0.Find the equations of the circle.

Find the particular solution of the differential equation (dy)/(dx) = - 4xy^(2) given that y = 1, when x = 0.

The equations of two diameters of a circle are x-2y+1 = 0 and x+y -2 = 0 and the length of the chord intercepted on the straight line 3x + 4y + 8 = 0 by the circle is 6 units. Find the equation of the circle.

CENGAGE PUBLICATION-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 (a)Two intersecting circle| p. have a common ...

    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 a pair of tangents drawn from a point P to the circl...

    Text Solution

    |

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

    Text Solution

    |

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

    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

    |