Home
Class 11
MATHS
If the circle x^2+y^2+2a1x+c=0 lies comp...

If the circle `x^2+y^2+2a_1x+c=0` lies completely inside the circle `x^2+y^2+2a_2x+c=0` then

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

Show that the circle x^(2)+y^(2)-2y-15=0 lies completely within the circle x^(2)+y^(2)-x-30=0

If the circle x^(2)+y^(2)=1 is completely contained in the circle x^(2)+y^(2)+4x+3y+k=0 , then find the values of k.

If the circle x^2+y^2+6x+8y+a=0 bisects the circumference of the circle x^2 + y^2 + 2x - 6y - b = 0 then (a + b) is equal to

If the circle x^(2) + y^(2) + 2gx + 2fy + c = 0 , cuts the three circles x^(2) + y^(2) - 5 = 0 , x ^(2) + y^(2) - 8 x - 6y + 10 = 0 and x^(2) + y^(2) - 4x + 2y - 2 = 0 at the extremities of their diameters , then _

The locus of the centre of the circle of radius 2 which rolls on the inside of the circle x^2+y^2+3x-6y-9=0 is

The pole of a straight line with respect to the circle x^2+y^2=a^2 lies on the circle x^2+y^2=9a^2 . If the straight line touches the circle x^2+y^2=r^2 , then :

The circle x ^(2) +y^(2) -8 x+4=0 touches -

The tangent to the circle x^2+y^2=5 at (1,-2) also touches the circle x^2+y^2-8x+6y+20=0 . Find the coordinats of the corresponding point of contact.

If the chord of contact of tangents from a point on the circle x^(2) + y^(2) = a^(2) to the circle x^(2)+ y^(2)= b^(2) touches the circle x^(2) + y^(2) = c^(2) , then a, b, c are in-

Equation of the circles concentric with the circle x^(2)+y^(2)-2x-4y=0 and touching the circle x^(2)+y^(2)+ 2x=1 must be-

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Tangent drawn from the point (a ,3) to the circle 2x^2+2y^2=25 will be...

    Text Solution

    |

  2. Consider the circle x^2 + y^2 - 10x - 6y + 30 = 0 Let O be the centre ...

    Text Solution

    |

  3. If the circle x^2+y^2+2a1x+c=0 lies completely inside the circle x^2+y...

    Text Solution

    |

  4. Let A B C be a triangle right-angled at Aa n dS be its circumcircle. L...

    Text Solution

    |

  5. ABCD is a rectangle. A circle passing through vertex C touches the sid...

    Text Solution

    |

  6. If the length of the common chord of two circles x^2+y^2+8x+1=0 and x^...

    Text Solution

    |

  7. Find the equation of the circle of minimum radius which contains the t...

    Text Solution

    |

  8. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

    Text Solution

    |

  9. Tangents are drawn from the point (17, 7) to the circle x^2+y^2=169, S...

    Text Solution

    |

  10. The equation of the line passing through the points of intersection of...

    Text Solution

    |

  11. The locus of the mid-point of the chord of contact of tangents drawn f...

    Text Solution

    |

  12. If the tangent at the point P(2,4) to the parabola y^(2)=8x meets the ...

    Text Solution

    |

  13. Find the locus of the midpoints of the portion of the normal to the pa...

    Text Solution

    |

  14. An equilateral triangle is inscribed in the parabola y^(2)=4ax, such...

    Text Solution

    |

  15. M is the foot of the perpendicular from a point P on a parabola y^2=4a...

    Text Solution

    |

  16. Find the locus of the middle points of chords of a parabola y^(2)=4ax ...

    Text Solution

    |

  17. A quadrilateral is inscribed in a parabola y^2=4a x and three of its s...

    Text Solution

    |

  18. A right-angled triangle A B C is inscribed in parabola y^2=4x , where ...

    Text Solution

    |

  19. Let there be two parabolas y^2=4a x and y^2=-4b x (where a!=ba n d a ,...

    Text Solution

    |

  20. The equation of aparabola is y^2=4xdotP(1,3) and Q(1,1) are two poin...

    Text Solution

    |