Home
Class 11
MATHS
If the equation x^2+y^2+2h x y+2gx+2fy+c...

If the equation `x^2+y^2+2h x y+2gx+2fy+c=0` represents a circle, then the condition for that circle to pass through three quadrants only but not passing through the origin is `f^2> c` (b) `g^2>2` `c >0` (d) `h=0`

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 equation x^2+y^2+2gx+2fy+c=0 represents a point -circle when

The equation x^(2) + y^(2) + 2gx + 2fy + c = 0 represents a point-circle when -

If the equation ax^2 + 2hxy + by^2 + 2gx + 2fy + c = 0 represents a pair of parallel lines, prove that a/h = h/b = g/f

The length of diameter of the circle concentric to the circle x^2+y^2-4x+2y-20=0 and passes through the origin is___

The diameter of the circle concentric to the circle x^(2) + y^(2) + 4x - 2y = 20 and passes through the origin is -

The circle passing through (-1, 0) and touching the y - axis at (0, 2) also passes through the point

Find the equations of the circles passing through the point (-4,3) and touching the lines x+y=2 and x-y=2

The equation of a line which makes concentric to the circle x^2+y^2-4x+2y-20=0 and passes through the origin is __

The centre of a circle passing through the points (0,0),(1,0)and touching the circle x^2+y^2=9 is

Under the conditions ax^(2) + 2hxy + by^(2) + 2gx + 2fy + c = 0 will be the equation of a circle ? In that case what will be the coordinates of the centre ?

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Co-ordinates of the centre of a circle, whose radius is 2 unit and whi...

    Text Solution

    |

  2. Three sides of a triangle have the equation Li = y - mi x = 0 , I = 1,...

    Text Solution

    |

  3. If the equation x^2+y^2+2h x y+2gx+2fy+c=0 represents a circle, then t...

    Text Solution

    |

  4. Consider two circles x^2+y^2-4x-6y-8=0 and x^2+y^2-2x-3=0 Statement 1...

    Text Solution

    |

  5. Statement-1: The point (sin alpha, cos alpha) does not lie outside the...

    Text Solution

    |

  6. The equation of the circle which touches the axes of coordinates and ...

    Text Solution

    |

  7. The equations of tangents to the circle x^2+y^2-6x-6y+9=0 drawn from t...

    Text Solution

    |

  8. Statement 1 : Two orthogonal circles intersect to generate a common ...

    Text Solution

    |

  9. Two circles C1a n dC2 both pass through the points A(1,2)a n dE(2,1) a...

    Text Solution

    |

  10. A circle C1 of radius b touches the circle x^2 + y^2 =a^2 externally a...

    Text Solution

    |

  11. If a circle passes through the point (a, b) and cuts the circle x^2+y^...

    Text Solution

    |

  12. Difference in the values of the radius of a circle whose center is at ...

    Text Solution

    |

  13. A triangle is inscribed in a circle of radius 1. The distance between ...

    Text Solution

    |

  14. Find the equation of the circle whose radius is 5 and which touches th...

    Text Solution

    |

  15. Let 2 x^2 + y^2 - 3xy = 0 be the equation of pair of tangents drawn fr...

    Text Solution

    |

  16. Find the equation of a circle which passes through the point (2,0) a...

    Text Solution

    |

  17. Let C1 be the circle with center O1(0,0) and radius 1 and C2 be the ci...

    Text Solution

    |

  18. C1 is a circle of radius 1 touching the x- and the y-axis. C2 is anoth...

    Text Solution

    |

  19. There are two circles whose equation are x^2+y^2=9 and x^2+y^2-8x-6y+n...

    Text Solution

    |

  20. State whether the statement is True or False: The line x+3y=0 is a dia...

    Text Solution

    |