Home
Class 12
MATHS
The ellipse x^2+""4y^2=""4 is inscribed ...

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`

A

`x^(2)+12y^(2)=16`

B

`4x^(2)+48y^(2)=48`

C

`4x^(2)+64y^(2)=48`

D

`x^(2)+16y^(2)=16`

Text Solution

Verified by Experts

The correct Answer is:
A
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

Ellipse x^(2) + 4y^(2) = 4 is inscribed in a rectangle aligned with co-ordinate axes . This rectangle itself is inscribed in another ellipse the passes ellipse that through (-4,0) . Then the equation of the ellipse is

An ellipse is drawn by taking a diameter of the circle (x""""1)^2+""y^2=""1 as its semiminor axis and a diameter of the circle x^2+""(y""""2)^2=""4 as its semi-major axis. If the centre of the ellipse is the origin and its axes are the coordinate axes, then the equation of the ellipse is (1) 4x^2+""y^2=""4 (2) x^2+""4y^2=""8 (3) 4x^2+""y^2=""8 (4) x^2+""4y^2=""16

The ellipse E_(1):(x^(2))/(9)+(y^(2))/(4)=1 is inscribed in a rectangle R whose sides are parallel to the coordinates axes. Another ellipse E_(2) passing through the point (0, 4) circumscribes the rectangle R. The length (in units) of the major axis of ellipse E_(2) is

The coordinates of a focus of the ellipse 4x^(2) + 9y^(2) =1 are

Equation of the ellipse whose axes are the axes of coordinates and which passes through the point (-3,""1) and has eccentricity sqrt(2/5) is: (1) 3x^2+""5y^2-32""=""0 (2) 5x^2+""3y^2-48""=""0 (3) 3x^2+""5y^2-15""=""0 (4) 5x^2+""3y^2-32""=""0

For the ellipse 12x^(2)+4y+24x-16y+25=0

Find the equation of the largest circle with centre (1,0) that can be inscribed in the ellipse x^(2)+4y^(2)=16

Find the equation of the largest circle with centre (1,0) that can be inscribed in the ellipse x^(2)+4y^(2)=16

The distnce between the foci of the ellipse 3x ^(2) + 4y ^(2) =48 is

ARIHANT MATHS-ELLIPSE-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The normal at a point P on the ellipse x^2+4y^2=16 meets the x-axis at...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    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. Equation of the ellipse whose axes are the axes of coordinates and ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. Let F1(x1,0) and F^(2)(x2,0) for x1lt0 andx2gt0, be the foci of the el...

    Text Solution

    |