Home
Class 12
MATHS
If equation of tangent to ellipse (x^(2)...

If equation of tangent to ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` at `(3,(-9)/(2))` is `x-2y=12`. Then length of latus rectum is

A

9

B

`12 sqrt(12)`

C

5

D

`8 sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

  • JEE MAIN 2024 ACTUAL PAPER

    JEE MAINS PREVIOUS YEAR|Exercise Question|598 Videos

  • JEE MAINS 2020

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS|250 Videos

Similar Questions

Explore conceptually related problems

if the line x- 2y = 12 is tangent to the ellipse (x^(2))/(b^(2))+(y^(2))/(b^(2))=1 at the point (3,(-9)/(2)) then the length of the latusrectum of the ellipse is

Find the equation of the normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 at the positive end of the latus rectum.

Equation of the tangent to (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(a>b) at the end of latus rectum in the first quadrant is

For the ellipse 3x ^(2) + 4y ^(2) =12, the length of latus rectum is

If the eccentricity of the ellipse,(x^(2))/(a^(2)+1)+(y^(2))/(a^(2)+2)=1 is (1)/(sqrt(6)) then latus rectum of ellipse is

The value of a for the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1,(a>b), if the extremities of the latus rectum of the ellipse having positive ordinates lie on the parabola x^(2)=2(y-2) is

Consider an ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 What is the length of the latus rectum of the ellipse 25x^(2)+16y^(2)=400 ?

The length of common tangent to the ellipses (x^(2))/(16)+(y^(2))/(9)=1 and (x^(2))/(9)+(y^(2))/(16)=1 is

JEE MAINS PREVIOUS YEAR-JEE MAINS-Physics
  1. If equation of tangent to ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 at...

    Text Solution

    |

  2. The moment of inertia of a solid sphere, about an axis parallel to its...

    Text Solution

    |

  3. A load of mass M kg is suspended from a steel wire of length 2 m and r...

    Text Solution

    |

  4. In the value circuit, C=(sqrt(3))/(2)muF,R2=20omega, L=sqrt(3)/(10)H, ...

    Text Solution

    |

  5. An ideal gas is enclosed in a cylinder at pressure of 2 atm and temper...

    Text Solution

    |

  6. In the figure, given that V(BB) supply can vary from 0 to 5.0V,V(CC)=5...

    Text Solution

    |

  7. In the circuit shown, find C if the effective capacitance of the whole...

    Text Solution

    |

  8. An alpha-particle of mass m suffers 1-dimentinal eleastic collision wi...

    Text Solution

    |

  9. A 10 m long horizontal wire extends from North east ro South East. It ...

    Text Solution

    |

  10. To double the covering range of a TV transmittion tower, its height sh...

    Text Solution

    |

  11. A plano-convex lens (focal length f2, refractive indexmu(2), radius of...

    Text Solution

    |

  12. A vertical closed cylinder is separated into two parts by a frictionle...

    Text Solution

    |

  13. Two satellites, A and B, have masses m and 2m respectively. A is in a ...

    Text Solution

    |

  14. A long cylinderical vessel is half filled with a liquid. When the vess...

    Text Solution

    |

  15. A block kept on a rough inclined plane ,as shown in the figure, remain...

    Text Solution

    |

  16. In a Frank-Hertz experiment,an electron of energy 5.6eV passes through...

    Text Solution

    |

  17. A particle of mass 20 g is released with an initial velocity 5m//s alo...

    Text Solution

    |

  18. A galavanometer, whose resistance is 50 ohm has 25 divisions in it. Wh...

    Text Solution

    |

  19. A soap bubble,blown by a mechanical pump at the mouth of a tube, incre...

    Text Solution

    |

  20. In the given circuit diagram, the currents, I1=-0.3A,I4=0.8A and I5=0....

    Text Solution

    |

  21. A resonance tube is old and has jagged end. It is still used in the la...

    Text Solution

    |