Home
Class 11
MATHS
The circle x^2+y^2+2gx+2fy+c=0 does not...

The circle `x^2+y^2+2gx+2fy+c=0` does not intersect x-axis , if (a) `g^2ltc` (b)`g^2gt c` (c) `g^2<2c` (d) none of these

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 circle x^(2) + y^(2) + 2g x + 2fy + c = 0 does not intersect the y-axis if

Show that the circle S-= x^(2) + y^(2) + 2gx + 2fy + c = 0 touches the (i) X- axis if g^(2) = c

If the pair of lines ax^2 +2hxy+ by^2+ 2gx+ 2fy +c=0 intersect on the y-axis then

The curve x y=c ,(c >0), and the circle x^2+y^2=1 touch at two points. Then the distance between the point of contacts is 1 (b) 2 (c) 2sqrt(2) (d) none of these

If the pair of lines a x^2+2h x y+b y^2+2gx+2fy+c=0 intersect on the y-axis, then prove that 2fgh=bg^2+c h^2

If the pair of lines a x^2+2h x y+b y^2+2gx+2fy+c=0 intersect on the y-axis, then prove that 2fgh=bg^2+c h^2.

If the pair of lines a x^2+2h x y+b y^2+2gx+2fy+c=0 intersect on the y-axis, then prove that 2fgh=bg^2+c h^2

The eccentricity of ellipse ax^2 + by^2 + 2gx + 2fy + c = 0 if its axis is parallel to x-axis is

If the circle x^2+y^2+2gx+2fy+c=0 is touched by y=x at P such that O P=6sqrt(2), then the value of c is 36 (b) 144 (c) 72 (d) none of these

If the circle x^(2) +y^(2) + 2gx + 2fy + c = 0 bisects the circumference of the circle x^(2) +y^(2) + 2g'x + 2f'y + c' = 0 , them the length of the common chord of these two circles is

RD SHARMA ENGLISH-THE CIRCLE-All Questions
  1. The straight line x/a+y/b=1 cuts the coordinate axes at A and B . F...

    Text Solution

    |

  2. Find the equation of the circle that passes through the points (1,0...

    Text Solution

    |

  3. The circle x^2+y^2+2gx+2fy+c=0 does not intersect x-axis , if (a) ...

    Text Solution

    |

  4. If the lines 3x-4y+4=0 and 6x-8y-7=0 are tangents to a circle, then f...

    Text Solution

    |

  5. Show that the point (x ,y) given by x=(2a t)/(1+t^2)a n dy=((1-t^2)/(1...

    Text Solution

    |

  6. If the line l x+m y-1=0 touches the circle x^2+y^2=a^2 , then prove th...

    Text Solution

    |

  7. Find the radius of the circle (xcosalpha+ysinalpha-a)^2+(xsinalpha-yco...

    Text Solution

    |

  8. Find the equation to the circle which passes through the origin and...

    Text Solution

    |

  9. On the joining (1,0)a n d(3,0) be and equilateral triangle is drawn, h...

    Text Solution

    |

  10. If the point (k+1,k) lies inside the region bound by the curve x=sqrt(...

    Text Solution

    |

  11. If the point (2,k) lies outside the circles x^2+y^2+x-2y-14=0a n dx^2+...

    Text Solution

    |

  12. A circle has radius 3u n i t s and its centre lies on the line y=x-1. ...

    Text Solution

    |

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

    Text Solution

    |

  14. A circle of radius 2 lies in the first quadrant and touches both the a...

    Text Solution

    |

  15. Find the equation of a circle of radius 5 which lies within the circle...

    Text Solution

    |

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

    Text Solution

    |

  17. The circle (x-a)^2+(y-a)^2=a^2 is rolled on the y-axis in the positive...

    Text Solution

    |

  18. Find the equation of the image of the circle x^2+y^2+8x-16y+64=0 in th...

    Text Solution

    |

  19. A circle of radius 5u n i t s touches the coordinate axes in the first...

    Text Solution

    |

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

    Text Solution

    |