Home
Class 11
MATHS
Find the eccentricity, one of the foci, ...

Find the eccentricity, one of the foci, the directrix, and the length of the latus rectum for the conic `(3x-12)^2+(3y+15)^2=((3x-4y+5)^2)/(25)` .

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

Find the eccentricity, coordinates of the foci, equations of directrices and length of the latus rectum of the hyperbola 3x^2-y^2=4

Find the eccentricity, the coordinates of the foci, and the length of the latus rectum of the ellipse 2x^(2)+3y^(2)=1 .

Find the eccentricity, coordinates of the foci, equations of directrices and length of the latus rectum of the hyperbola 4x^2-3y^2=36

Find the eccentricity, coordinates of the foci ,equations of directrices and length of the latus rectum of the hyperbola 2x^2-3y^2=5.

Find the eccentricity, coordinates of the foci, equations of directrices and length of the latus rectum of the hyperbola 16 x^2-9y^2=144

Find the eccentricity, coordinates of the foci ,equations of directrices and length of the latus rectum of the hyperbola : 9x^2-16 y^2=144

The length of the latus rectum of 3x^(2) - 2y^(2) =6 is

Find the coordinate of the foci, vertices, eccentricity and the length of the latus rectum of the hyperbola 9y ^(2) - 4x ^(2) = 36

Find the focus, the equation of the directrix and the length of latus rectum of the parabola y^(2)+12=4x+4y .

Find the coordinate of the foci, vertice eccentricity and the length of the latus rectum of the hyperbola 49y ^(2) - 16x ^(2) = 784

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Find the sum of the focal distances of any point on the ellipse 9x^...

    Text Solution

    |

  2. Find the lengths of the major and minor axis and the eccentricity of...

    Text Solution

    |

  3. Find the eccentricity, one of the foci, the directrix, and the leng...

    Text Solution

    |

  4. An ellipse passes through the point (4,-1) and touches the line x+4...

    Text Solution

    |

  5. Find the point on the ellipse 16 x^2+11 y^2=256 where the common t...

    Text Solution

    |

  6. If x/a+y/b=sqrt(2) touches the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 , the...

    Text Solution

    |

  7. Find the points on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 such that the...

    Text Solution

    |

  8. An ellipse slides between two perpendicular straight lines. Then id...

    Text Solution

    |

  9. Find the locus of the foot of the perpendicular drawn from the cent...

    Text Solution

    |

  10. Find the maximum area of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 which ...

    Text Solution

    |

  11. A tangent is drawn to the ellipse (x^2)/(27)+y^2=1 at (3sqrt(3)costhe...

    Text Solution

    |

  12. Consider an ellipse (x^2)/4+y^2=alpha(alpha is parameter >0) and a ...

    Text Solution

    |

  13. Find the angle between the pair of tangents from the point (1,2) to...

    Text Solution

    |

  14. If the chord joining points P(alpha) and Q(beta) on the ellipse ((x^...

    Text Solution

    |

  15. If alpha and beta are the eccentric angles of the extremities of a f...

    Text Solution

    |

  16. If the area of the ellipse ((x^2)/(a^2))+((y^2)/(b^2))=1 is 4pi , then...

    Text Solution

    |

  17. The center of an ellipse is C and P N is any ordinate. Point A ,A ' ar...

    Text Solution

    |

  18. The ratio of the area of triangle inscribed in ellipse x^2/a^2+y^2/b^...

    Text Solution

    |

  19. If PSQ is a focal chord of the ellipse 16x^2+25y^2=400 such that SP=8,...

    Text Solution

    |

  20. A O B is the positive quadrant of the ellipse (x^2)/(a^2)+(y^2)/(b^...

    Text Solution

    |