Home
Class 12
MATHS
The equation of one of the latusrectum o...

The equation of one of the latusrectum of `(x-3)^(2)/(5)+(y-5)^(2)/(9)=1` is

A

y-3=0

B

x-1=0

C

y=6

D

x=5

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    AAKASH SERIES|Exercise EXERCISE-II|68 Videos
  • ELLIPSE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|65 Videos
  • ELLIPSE

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|34 Videos
  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos
  • EXPONENTIAL SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

Similar Questions

Explore conceptually related problems

The length of the latusrectum of ((x-3)^(2))/(16)+(y-2)^(2)/(36)=1 is

The equation of the latusrectum of the hyperbola 3y^(2)-4x^(2)=12 are

The foci of the ellipse (x-1)^(2)/5+(y-5)^(2)/9=1 is

The equation to the auxiliary circle of (x^(2))/(7)+(y^(2))/(5)=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

If the normal at one end of latusrectum of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 passes through one end of minor axis then

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

The equation of the axis of the parabola 3x^(2)-9x+5y-2=0 is

(i) Find the equations of the tangent and normal at the positive end of the latusrectum of the ellipse 9x^(2) + 1 6 y^(2) = 144 (ii) Find the equations of the tangent and normal to the ellipse 2x^(2) + 3y^(2) = 11 at the point whose ordinate is one.

AAKASH SERIES-ELLIPSE-EXERCISE-I
  1. The distance between the focii of the ellipse x = 3 cos theta, y = 4 s...

    Text Solution

    |

  2. The equation of the major axis of the ellipse (x-1)^(2)/(9)+(y-6)^(2...

    Text Solution

    |

  3. The equation of one of the latusrectum of (x-3)^(2)/(5)+(y-5)^(2)/(9)...

    Text Solution

    |

  4. The eccentricity of the ellipse (x^(2))/(16)+(y^(2))/(25) =1 is

    Text Solution

    |

  5. The eccentricity of the ellipse (x-1)^(2)/(16)+(y-2)^(2)/(9)=1 is

    Text Solution

    |

  6. The eccentricity of the ellipse 9x^(2)+25y^(2)-18x-100y+20=0 is

    Text Solution

    |

  7. If a line (x)/(8)+(y)/(5)=1 meets the ellipse on x - axis and the lin...

    Text Solution

    |

  8. If the length of the major axis is n times the minor axis of the ellip...

    Text Solution

    |

  9. The distance between the foci of an ellipse is equal to half of its mi...

    Text Solution

    |

  10. If the minor axis of an ellipse subtends an angle 60^(@) at each focu...

    Text Solution

    |

  11. The eccentricity of an ellipse i s sqrt(3)/(2) its length of latus r...

    Text Solution

    |

  12. If e(1) and e(2) are the eccentricites of (x^(2))/(a^(2))+(y^(2))/(b...

    Text Solution

    |

  13. The equation of the tangent to the ellipse 9x^(2)+16y^(2)=144 at the ...

    Text Solution

    |

  14. If x -y+ k = 0 is a tan gen t to the ellip se 9x^(2)+16y^(2)=144 then ...

    Text Solution

    |

  15. The values that m can take so that the straight line y=4x+m touches th...

    Text Solution

    |

  16. The equation of tangent to the ellipse 2x^(2)+3y^(2)=6 which make an a...

    Text Solution

    |

  17. The equations of the tangents to the ellipse 4x^(2)+3y^(2)=5 which are...

    Text Solution

    |

  18. The point of contact 8x-9y+5 = 0 with the ellipse 4x^(2)+9y^(2)=1 is

    Text Solution

    |

  19. The number of tangents to (x^(2))/(9)+(y^(2))/(4)=1 through (3,2) is

    Text Solution

    |

  20. The sum of the slopes of the tangents to the ellipse (x^(2))/(9)+(y^(2...

    Text Solution

    |