Home
Class 12
MATHS
The ellipse E1:(x^2)/9+(y^2)/4=1 is insc...

The ellipse `E_1:(x^2)/9+(y^2)/4=1` is inscribed in a rectangle `R` whose sides are parallel to the coordinate axes. Another ellipse `E_2` passing through the point (0, 4) circumscribes the rectangle `Rdot` The eccentricity of the ellipse `E_2` is
(a) `(sqrt(2))/2` (b) `(sqrt(3))/2` (c) `1/2` (d) `3/4`

A

`sqrt2/2`

B

`sqrt3/2`

C

`1/2`

D

`3/4`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|3 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

Similar Questions

Explore conceptually related problems

The eccentricity of the ellipse 4x^2 + 9y^2 = 36 is :

The ellipse x^2+ 4y^2 = 4 is inscribed is a rectangle alligned with the co-ordinate axes, which in turn is inscribed in another ellipse that passes through the point (4, 0). Then the equation of the ellipse is :

The eccentricity of the ellipse : x^2+4y^2+8y-2x+1=0 is :

The eccentricity of the conic represented by x^2-y^2-4x+4y+16=0 is 1 (b) sqrt(2) (c) 2 (d) 1/2

Find the equation of an ellipse whose axes lie along the coordinate axes, which passes through the point (-3,1) and has eccentricity equal to sqrt(2//5)dot

The ellipse x^2+""4y^2=""4 is inscribed in a rectangle aligned with the coordinate axes, which in turn is inscribed in another ellipse that passes through the point (4, 0). Then the equation of the ellipse is (1) x^2+""16 y^2=""16 (2) x^2+""12 y^2=""16 (3) 4x^2+""48 y^2=""48 (4) 4x^2+""64 y^2=""48

Find the eccentricity of the ellipse x^(2)/(a^(2))+y^(2)/b^(2)=1 when a=5 and b=3.

The eccentricity of the conjugate hyperbola of the hyperbola x^2-3y^2=1 is (a) 2 (b) 2sqrt(3) (c) 4 (d) 4/5

On the ellipse 4x^2+9y^2=1 , the points at which tangents are parallel to the line 8x =9y are :

ARIHANT MATHS-ELLIPSE-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The 5th, 8th, and 11th terms of a GP are p, q and s respectively. Find...

    Text Solution

    |

  2. Is 309 a term of the AP 11, 17, 23….?

    Text Solution

    |

  3. A triangle A B C with fixed base B C , the vertex A moves such that co...

    Text Solution

    |

  4. The conic having parametric representation x=sqrt3(1-t^(2)/(1+t^(2))),...

    Text Solution

    |

  5. The ellipse x^2+""4y^2=""4 is inscribed in a rectangle aligned with...

    Text Solution

    |

  6. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

    Text Solution

    |

  7. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

    Text Solution

    |

  8. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

    Text Solution

    |

  9. Find the equation of an ellipse whose axes lie along the coordinate ...

    Text Solution

    |

  10. The ellipse E1:(x^2)/9+(y^2)/4=1 is inscribed in a rectangle R whose s...

    Text Solution

    |

  11. Statement 1: An equation of a common tangent to the parabola y^2=16s...

    Text Solution

    |

  12. An ellipse is drawn by taking a diameter of the circle (x-1)^2+y^2=1 ...

    Text Solution

    |

  13. the equation of the circle passing through the foci of the ellip...

    Text Solution

    |

  14. A vertical line passing through the point (h, 0) intersects the ellips...

    Text Solution

    |

  15. The locus of the foot of prependicular drawn from the center of the el...

    Text Solution

    |

  16. Tangents are drawn to the ellipse x^2/9+y^2/5 = 1 at the end of latus ...

    Text Solution

    |

  17. Let E1 and E2, be two ellipses whose centers are at the origin.The maj...

    Text Solution

    |

  18. Suppose that the foci of the ellipse (x^2)/9+(y^2)/5=1 are (f1,0)a n d...

    Text Solution

    |

  19. If the tangents to the ellipse at M and N meet at R and the normal to ...

    Text Solution

    |

  20. The eccentricity of an ellipse whose centre is at the origin is 1/2. I...

    Text Solution

    |