Home
Class 12
MATHS
Find the vertices, foci for the hyperbol...

Find the vertices, foci for the hyperbola `9x^(2)-16y^(2)=144`.

A

`3/2`

B

`3`

C

`4`

D

`2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - HYPERBOLA|9 Videos

  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - PARABOLA|19 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|194 Videos

  • DIFFERENTIAL EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise OBJECTIVE TYPE QUESTION|19 Videos

Similar Questions

Explore conceptually related problems

The vertices of the hyperbola 9x^2 - 16y^2 = 144

Find the eccentricity, centre, foci and vertices of the hyperbola 9x^(2)-16y^(2)-18x-64y-199=0 .

Find the vertices of the hyperbola 9x^2-16 y^2-36 x+96 y-252=0

If e_(1) is the eccentricity of the ellipse (x^(2))/(25)+(y^(2))/9=1 and if e_(2) is the eccentricity of the hyperbola 9x^(2)-16y^(2)=144 , then e_(1)e_(2) is. . . . .

Find the coordinates of the foci, the eocentricity, the latus rectum, and the equations of directrices for the hyperbola 9x^2-16 y^2-72 x+96 y-144=0

The length of the transverse axis of the hyperbola 9x^(2)-16y^(2)-18x -32y - 151 = 0 is

Find the eccentricity, centre, foci and vertices of the hyperbola 5x^(2)-4y^(2)=20 .

Find the equations of tangents to the hyperbola x^(2)/16 - y^(2)/64 =1 which are parallelto 10x -3y + 9=0

Find the equation of the chord of the hyperbola 25 x^2-16 y^2=400 which is bisected at the point (5, 3).

NEW JOYTHI PUBLICATION-CONIC SECTIONS -EXERCISE - ELLIPSE
  1. The eccentricity of the ellipse 16x^2 + 25y^2 = 400 is

    Text Solution

    |

  2. The equation of the ellipse whose axes are along the coordinate axes, ...

    Text Solution

    |

  3. The foci of an ellipse are (+- 2,0) and its eccentricity is 1/2 then t...

    Text Solution

    |

  4. If the length of latus rectum is 5/2 and eccentricity is 1/2, then the...

    Text Solution

    |

  5. The line y = 2x + c touches the ellipse (x^2)/(16) + (y^2)/(4) = 1 if ...

    Text Solution

    |

  6. The sum of distance of any point on the ellipse 3x^2 + 4y^2 = 24 from ...

    Text Solution

    |

  7. The equation(x^2)/(2 - r) + (y^2)/(r - 5) + 1 = 0 represent an ellipse...

    Text Solution

    |

  8. Sum of the focal distance of the ellipse (x^2)/(a^2) + (y^2)/(b^2) = 1...

    Text Solution

    |

  9. The radius of the circle passing throgh the foci of the ellipse (x^2)/...

    Text Solution

    |

  10. The eccentricity of an ellipse with its centre at the origin is 1/2. I...

    Text Solution

    |

  11. The maximum area of an isosceles triangle inscribed in the ellipse (x^...

    Text Solution

    |

  12. The ellipse with foci at (0,1) , (0,4) and one vertex at the origin is

    Text Solution

    |

  13. The euqaiton of the conic with focus (2,-1) directrix x - y = 0 and ec...

    Text Solution

    |

  14. The foci of the ellipse 25(x + 1)^2 + 9(y + 2)^2 = 225

    Text Solution

    |

  15. Find the vertices, foci for the hyperbola 9x^(2)-16y^(2)=144.

    Text Solution

    |

  16. S and T are the foci of an ellipse and B is an end point of the minor ...

    Text Solution

    |

  17. The angle between the lines joining the foci of an ellipse to an extre...

    Text Solution

    |

  18. The centre of the ellipse 8x^2 + 6y^2 - 16x + 12y + 13 = 0

    Text Solution

    |