Home
Class 12
MATHS
the equations to the directrices of t...

the equations to the directrices of the ellipse `4(x-3)^(2)+9(y+2)^(2)=144,` are

A

`5x-15+-18sqrt(5)=0`

B

`5x+15+-2sqrt(5)=0`

C

`15x+-2sqrt(5)=0`

D

`15x-5+-18sqrt(5)=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    OBJECTIVE RD SHARMA|Exercise Chapter Test|30 Videos

  • ELLIPSE

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|7 Videos

  • DIFFERENTIATION

    OBJECTIVE RD SHARMA|Exercise Chapter Test|30 Videos

  • EXPONENTIAL AND LOGARITHMIC SERIES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|20 Videos

Similar Questions

Explore conceptually related problems

The equation of the directrices of the ellipse ((x-2))/(25)+((y-3)^(2))/(16)=1 are

Find the equation of the directrices of the ellipse x^2/36+y^2/16=1

The equation of the directrice of the ellipse 16x ^(2) + 25 y ^(2)= 400 are

What are the equations of the directrices of the ellipse 25^(2)+16y^(2)=400 ?

Equations of the directrices of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(a>b) are

Find the centre,eccentricity,foci,length of latus rectum and equations of the directrices of the hyperbola 4(y+3)^(2)-9(x-2)^(2)=1

Find the lengths of the transvers and the conjugate axis,eccentricity,the coordinates of foci,vertices,the lengths of latus racta,and the equations of the directrices of the following hyperbola: 16x^(2)-9y^(2)=-144

Equation of the directrices of the ellipse ((x-h)^(2))/(a^(2))+((y-k)^(2))/(b^(1))=1 (a>b)

OBJECTIVE RD SHARMA-ELLIPSE-Exercise
  1. Let L L ' be the latusrectum and S be a focus of the ellipse (x^...

    Text Solution

    |

  2. the equation of the axes of the ellispe 3x^(2)+4y^(2)+6x-8y-5=0 ...

    Text Solution

    |

  3. the equations to the directrices of the ellipse 4(x-3)^(2)+9(y+2)...

    Text Solution

    |

  4. if the vertices of an ellipse are (-12,4) and (14,4) and eccentr...

    Text Solution

    |

  5. if the coordinates of the vertices of an ellipse are (-6,1) and (...

    Text Solution

    |

  6. if the tangent at the point (4 cos phi , (16)/(sqrt(11) )sin phi ...

    Text Solution

    |

  7. A man running around a race course notes that the sum of the distances...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. if the coordinates of the centre , a foucs and adjacent vertex ...

    Text Solution

    |

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

    Text Solution

    |

  12. A tangent having slope of -4/3 to the ellipse (x^2)/(18)+(y^2)/(32)...

    Text Solution

    |

  13. The equation of the chord of the ellipse 2x^2+ 5y^2 =20 which is bisec...

    Text Solution

    |

  14. AB is a diameter of x^2 + 9y^2=25. The eccentric angle of A is pi/6 ...

    Text Solution

    |

  15. if one end of a diameter of the ellipse 4x^(2)+y^(2)=16 is (sqrt...

    Text Solution

    |

  16. the equation of a diameter conjugate to a diameter y=(b)/(a)x of ...

    Text Solution

    |

  17. if theta and phi are eccentric angles of the ends of a pair of ...

    Text Solution

    |

  18. If A,A' are the vertices S,S' are the foci and Z,Z' are the fe...

    Text Solution

    |

  19. The eccentricity of an ellipse whose pair of a conjugate diameter are ...

    Text Solution

    |

  20. the locus of the point of intersection of tangents to the ellipse...

    Text Solution

    |