Home
Class 11
MATHS
Find the corrdinates of the foci and the...

Find the corrdinates of the foci and the vertices, the eccentricity, the length of the latus rectum of the hyperbolas :
(i) `(x^(2))/(9)-(y^(2))/(16)=1` (ii) `y^(2)-16x^(2)=16`

Text Solution

Verified by Experts

The correct Answer is:
`32/3`
Promotional Banner

Topper's Solved these Questions

  • OBJECTIVE SECTION AS PER NEW PAPER SCHEME

    KUMAR PRAKASHAN|Exercise Conic Sections (True /False Statement)|22 Videos

  • OBJECTIVE SECTION AS PER NEW PAPER SCHEME

    KUMAR PRAKASHAN|Exercise Introduction to Three Dimensional Geometry (Fill in the Blanks)|24 Videos

  • OBJECTIVE SECTION AS PER NEW PAPER SCHEME

    KUMAR PRAKASHAN|Exercise Straight Lines (True /False Statement)|16 Videos

  • MATHEMATICAL REASONING

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (Knowledge Test:)|2 Videos

  • PERMUTATIONS AND COMBINATIONS

    KUMAR PRAKASHAN|Exercise PRACTICE WORK |40 Videos

Similar Questions

Explore conceptually related problems

In each of the find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. (x^(2))/(16)-(y^(2))/(9)=1

In each of the find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. (y^(2))/(9)-(x^(2))/(27)=1

In each of the find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. 16x^(2)-9y^(2)=576

In each of the find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. 9y^(2)-4x^(2)=36

In each of the find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. 5y^(2)-9x^(2)=36

In each of the find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. 49y^(2)-16x^(2)=784

In each of the Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse. (x^(2))/(16)+(y^(2))/(9)=1

In each of the Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse. (x^(2))/(36)+(y^(2))/(16)=1

Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the latus rectum of the ellipse (x^(2))/(25)+(y^(2))/(9)=1

In each of the Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse. (x^(2))/(4)+(y^(2))/(25)=1

KUMAR PRAKASHAN-OBJECTIVE SECTION AS PER NEW PAPER SCHEME -Conic Sections (Fill in the blanks )
  1. Length of major axis of ellipse 25x^2+9y^2=1 is ........ .

    Text Solution

    |

  2. Focii of hyperbola 9x^2-16y^2=144 is .........

    Text Solution

    |

  3. Find the corrdinates of the foci and the vertices, the eccentricity, t...

    Text Solution

    |

  4. Eccentricity of hyperbola 16y^2-9x^2=144 is ...........

    Text Solution

    |

  5. Eccentricity of x^2-4y^2=1 is ...........

    Text Solution

    |

  6. Length of latus rectum of ellipse 5x^2+9y^2=25 is ......... .

    Text Solution

    |

  7. ........... is the eccentricity of ellipse if distance between focii i...

    Text Solution

    |

  8. If the ratio of major and minor axis of ellipse is 5:3 then eccentrici...

    Text Solution

    |

  9. Length of the conjugate axis of 12x^2-3y^(2)=-36 is .........

    Text Solution

    |

  10. If the equation (a-3)x^2+9y^2=4 represents the rectangular hyperbola t...

    Text Solution

    |

  11. Radius of circle with centre C(3,4) and passes from O(0,0) is r = .......

    Text Solution

    |

  12. bar(AB) is diameter of circle with centre (4,2) . If point A is (-3,2)...

    Text Solution

    |

  13. Area of circle with centre (1,2) and passes from (4,6) is ..........

    Text Solution

    |

  14. Coordinates of centre of circle passes from (0,0) , (a,0) and (0,b) is...

    Text Solution

    |

  15. .........is the standard equation of circle with centre (1,0) and its ...

    Text Solution

    |

  16. bar(AB) joining A(1,k) and B(3,5) is diameter of circle with centre C(...

    Text Solution

    |

  17. Radius of circle which touches X - axis at (3,0) and cuts a chord at l...

    Text Solution

    |

  18. Minimum distance of the line 3x +4y - 50 =0 from the point lies on cir...

    Text Solution

    |

  19. length of latus rectum of parabola y^2=4ax which passes from (3,2) is...

    Text Solution

    |

  20. L and L' are end points of latus rectum of parabola y^2 = 4ax and M' a...

    Text Solution

    |