Home
Class 11
MATHS
The circles x^2+y^2 +2x +4y-20=0 and x...

The circles `x^2+y^2 +2x +4y-20=0` and `x^2 +y^2 + 6x-8y + 10 = 0` a) are such that the number of common tangents on them is 2 b) are orthogonal c) are such that the length of their common tangents is `5(12/5)^(1/4)` d) are such that the length of their common chord is `5sqrt3/2`

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 number of common tangents to the circles x^2+y^2-x = 0 and x^2 + y^2 + x = 0 are

The number of common tangents of the circles x^(2) +y^(2) =16 and x^(2) +y^(2) -2y = 0 is :

Show that the circles x^(2) +y^(2) - 2x - 4y - 20 = 0 and x^(2) + y^(2) + 6x +2y- 90=0 touch each other . Find the coordinates of the point of contact and the equation of the common tangent .

Find the number of common tangents to the circle x^2 +y^2=4 and x^2+y^2−6x−8y−24=0

The number of common tangents of the circles x^2+y^2−2x−1=0 and x^2+y^2−2y−7=0

The common tangents to the circles x^2 + y^2 + 2x =0 and x^2 + y^2-6x=0 form a triangle which is

The equation of common tangent of the curve x^(2) + 4y^(2) = 8 and y^(2) =4x are

The number of common tangents to x^(2)+y^(2)=8, x^(2)+y^(2)=2 is

The common tangent to the circles x^(2)+y^(2) = 4 and x^(2) + y^(2) + 6x + 8y - 24 = 0 also passes through the point

The number of common tangents of the circles x^(2)+y^(2)+4x+1=0 and x^(2)+y^(2)-2y-7=0 , is

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. A circle with center (a , b) passes through the origin. The equation...

    Text Solution

    |

  2. A particle from the point P(sqrt3,1) moves on the circle x^2 +y^2=4...

    Text Solution

    |

  3. The circles x^2+y^2 +2x +4y-20=0 and x^2 +y^2 + 6x-8y + 10 = 0 a)...

    Text Solution

    |

  4. If the circles x^2+y^2-9=0 and x^2+y^2+2a x+2y+1=0 touch each other, t...

    Text Solution

    |

  5. The equation of a circle of radius 1 touching the circles x^2+y^2-2|x|...

    Text Solution

    |

  6. Which of the following lines have the intercepts of equal lengths on t...

    Text Solution

    |

  7. If a circle passes through the point of intersection of the lines x+ y...

    Text Solution

    |

  8. The circles x^2+y^2-2x-4y+1=0 and x^2+y^2+4x+4y-1=0 (a)t...

    Text Solution

    |

  9. The equation of the line(s) parallel to x-2y=1 which touch(es) the ci...

    Text Solution

    |

  10. If the conics whose equations are S1:(sin^2theta)x^2+(2htantheta)x y+(...

    Text Solution

    |

  11. The range of values of a such that the angle theta between the pair of...

    Text Solution

    |

  12. From the point A (0, 3) on the circle x^2+4x+(y-3)^2=0 a chord AB is d...

    Text Solution

    |

  13. Tangents are drawn from external poinl P(6,8) to the circle x^2+y^2 =...

    Text Solution

    |

  14. The radius of the circle touching the line 2x + 3y +1 = 0 at (1,-1) an...

    Text Solution

    |

  15. If the abscissa and ordinates of two points P and Q are the roots of t...

    Text Solution

    |

  16. Line segments A C and B D are diameters of the circle of radius 1. If ...

    Text Solution

    |

  17. As shown in the figure, three circles which have the same radius r,hav...

    Text Solution

    |

  18. The acute angle between the line 3x-4y=5 and the circle x^2+y^2-4x+2y-...

    Text Solution

    |

  19. If two perpendicular tangents can be drawn from the origin to the c...

    Text Solution

    |

  20. Let A(−4,0), B(4,0) & C(x,y) be points on the circle x^2 + y^2 = 16 su...

    Text Solution

    |