Home
Class 12
MATHS
The vertices of the hyperbola ((x-2)^(2...

The vertices of the hyperbola ` ((x-2)^(2))/( 9) -((y-3)^(2))/( 4) =1` are

A

` ( 5,3),( -1,3) `

B

` (5,-3),(I,3)`

C

`( -5,3),(-1,-3) `

D

` (5,3),(1,3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 B|32 Videos
  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET 1|4 Videos
  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET 4|4 Videos
  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|7 Videos
  • HYPERBOLIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 {SPECIAL TYPE QUESTIONS} SET - 4|3 Videos

Similar Questions

Explore conceptually related problems

A : The foci of the hyperbola ((x+2)^(2))/( 9) -(( y-3) ^(2))/( 27) = 1 are (4,3) ,(-8,3). R : The foci of the hyperbola ((x-alpha )^(2))/( a^(2)) -((y-beta )^(2))/( b^(2) ) =1 are ( alpha +- ae , beta )

The equation of the tangents to the hyperbola (x^(2))/( 9) -( y^(2))/( 4) = 1 at the point theta =(pi)/(3) is

The equation of the conjugate axis of the hyperbola ((x-5)^(2))/(16) -((y-4)^(2))/(9) =1 is

Find the eccentricity, foci, length of latusrectum and the equations to the directrices of the hyperbola (x^(2))/(16)-(y^(2))/(9) = 1

The equation of the conjugate axis of the hyperbola ((y-2)^(2))/(9)-((x+3)^(2))/(16)=1 is

The vertices of the hyperbola x^(2) -3y^(2) +2x +12y +1=0 are

The equation of the normal to the hyperbola (x^(2))/(25) -(y^(2))/(9) =1 at the point theta = (pi)/(4) is

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

The vertices of the hyperbola x^(2)-3y^(2)+2x+12y+1=0 are

DIPTI PUBLICATION ( AP EAMET)-Hyperbola -EXERCISE 1A
  1. The equation of the transverse and cojugate axes of a hyperbola are r...

    Text Solution

    |

  2. the centre of the hyperbola 9x^(2 )- 16y^(2)+ 72 x - 32y -16=0 is

    Text Solution

    |

  3. The vertices of the hyperbola ((x-2)^(2))/( 9) -((y-3)^(2))/( 4) =1 a...

    Text Solution

    |

  4. The vertices of the hyperbola x^(2) -3y^(2) +2x +12y +1=0 are

    Text Solution

    |

  5. The foci of the hyperbola 2x^(2) -y^(2) -4x + 4y -10 =0 are

    Text Solution

    |

  6. The foci of the hyperbola 9x^(2) -16y ^(2)+18x +32 y- 151=0 are

    Text Solution

    |

  7. The distance between the foci of the hyperbola x^(2) -3y^(2) -4x -6y ...

    Text Solution

    |

  8. The length of the transverse axis of the hyperbola 9x^(2) - 16y^(2) -...

    Text Solution

    |

  9. The length of the transverse axis of the hyperbola 4x^(2) -9y^(2) +8x...

    Text Solution

    |

  10. The length of the conjugate axis of the hyperbola 9x^(2) -16y^(2) - 1...

    Text Solution

    |

  11. The length of the latus rectum of the hyperbola x^(2) -4y^(2) =4 is

    Text Solution

    |

  12. The length of the latus rectum of the hyperbola 9x^(2) -16y^(2) +72x ...

    Text Solution

    |

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

    Text Solution

    |

  14. The eccentricity of the hyperbola 9x^(2) -16y^(2) +72 x- 32 y- 16 =0 ...

    Text Solution

    |

  15. The eccentricity of the hyperbola 4x^(2) -9y^(2) =36 is

    Text Solution

    |

  16. The eccentricity of the rectangular hyperbola is

    Text Solution

    |

  17. The eccentricity of the hyperbola whose latus rectum is equal to half...

    Text Solution

    |

  18. The eccentricity of the hyperbola whose latus rectum is equal to half ...

    Text Solution

    |

  19. The eccentricity of the hyperbola whose length of the latus rectum is ...

    Text Solution

    |

  20. If e and e' are the ecentricity of the hyperbola x^(2)//a^(2) -y^(2) ...

    Text Solution

    |