Home
Class 11
MATHS
If C is the center of the ellipse 9x^...

If `C` is the center of the ellipse `9x^2+16 y^2=144` and `S` is a focus, then find the ratio of `C S` to the semi-major axis.

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

If C is the centre of the ellipse 9x^(2) + 16y^(2) = 144 and S is one focus. The ratio of CS to major axis, is

Write the eccentricity of the hyperbola 9x^2-16 y^2=144.

The eccentricity of the hyperbola 9x^(2) -16y^(2) =144 is

Write the eccentricity of the ellipse 9x^2+5y^2-18 x-2y-16=0.

Find the length of the latus rectum of the ellipse 9x^(2)+16y^(2)=144

The coordinates of a focus of the ellipse 4x^(2) + 9y^(2) =1 are

If C is centre of the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 and the normal at an end of a latusrectum cuts the major axis in G, then CG =

A point on the ellipse x^(2)/16 + y^(2)/9 = 1 at a distance equal to the mean of lengths of the semi - major and semi-minor axis from the centre, is

The eccentricity of the conic 9x^2-16 y^2=144 is a. 5/4 b. 4/3 c. 4/5 d. sqrt(7)

The major axis of an ellipse is y=x and one vertex is at origin, then find other axis of the ellipse , if length of major axis be 10.

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If the foci of an ellipse are (0,+-1) and the minor axis of unit lengt...

    Text Solution

    |

  2. Let P be a point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 of ecc...

    Text Solution

    |

  3. If C is the center of the ellipse 9x^2+16 y^2=144 and S is a focus,...

    Text Solution

    |

  4. Find the sum of the focal distances of any point on the ellipse 9x^...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |