Home
Class 12
MATHS
For the ellipse 9x^2 + 36y^2 = 324 the e...

For the ellipse `9x^2 + 36y^2 = 324` the eccentricity, length of the major and minor axes are respectively

A

`(sqrt3)/4,12,2`

B

`(sqrt3)/2,6,3`

C

`(sqrt3)/2,12,6`

D

`(sqrt3)/4,6,3`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CUET MOCK TEST 2022

    XII BOARDS PREVIOUS YEAR|Exercise Question|49 Videos

  • CUET MOCK TEST SET 2

    XII BOARDS PREVIOUS YEAR|Exercise MULTIPLE CHOICE QUESTIONS (DATA INTERPRETATION)|5 Videos

Similar Questions

Explore conceptually related problems

For the ellipse 9x^2 + 16y^2 = 144 , find the length of the major and minor axes, the eccentricity, the coordinatse of the foci, the vertices and the equations of the directrices.

The given equation of the ellipse is (x^(2))/(81) + (y^(2))/(16) =1 . Find the length of the major and minor axes. Eccentricity and length of the latus rectum.

Find the equation of an ellipse, the lengths of whose major and minor axes are 10 and 8 units respectively.

The length of the major axis and minor axis of 9x^(2) + y^(2) = 36 respectively are

For the ellipse 4(x-2y+1)^(2)+9(2x+y+2)^(2)=180 lengths of major and minor axes are respectively

Given the ellipse with equation x^(2) + 4y^(2) = 16 , find the length of major and minor axes, eccentricity, foci and vertices.

Find the differential equation of an ellipse with major and minor axes 2a and 2b respectively.

The eccentricity of an ellipse is 1/2 and the distance between its foci is 4 units. If the major and minor axes of the ellipse are respectively along the x and y axes, find the equation of the ellipse

The eccentricity of an ellipse is 1/2 and the distance between its foci is 4 units. If the major and minor axes of the ellipse are respectively along the x and y axes, find the equation of the ellipse.

The tangent and the normal to the ellipse 4x^(2)+9y^(2)=36 at the point P meets the major axis Q and R respectively.If QR=4 then the eccentric angle of P is given by

XII BOARDS PREVIOUS YEAR-CUET MOCK TEST SET 1-PART – B (SECTION – III MATHEMATICS )
  1. A cube root of i is

    Text Solution

    |

  2. The coefficient of x^4 in the series expansion of e^(1–2x) is

    Text Solution

    |

  3. The solution (x, y, z) of the system 3x – 2y + z = 2, 2x – y + 3z = ...

    Text Solution

    |

  4. A=[(5,0,0,1),(0,2,4,3),(6,1,0,0)],B=[(1,3),(0,4),(2,0),(1,2)] and AB=C...

    Text Solution

    |

  5. If A=[(3,1,2),(4,0,5),(-1,3,-4)],A^(-1)=B=(b)(ij) then b(32) is

    Text Solution

    |

  6. From a box containing three pink, four orange and two blue marbles, tw...

    Text Solution

    |

  7. (2cis 30^(@))^2/(4cis 60^(@))^(3) is equal to

    Text Solution

    |

  8. If 1 + 5 + 9 + …..x = 780 then x is

    Text Solution

    |

  9. The length of a tangent drawn from the point (– 2, – 4) to the circle ...

    Text Solution

    |

  10. For the ellipse 9x^2 + 36y^2 = 324 the eccentricity, length of the maj...

    Text Solution

    |

  11. lim(xto0)(abs(x))/x as is

    Text Solution

    |

  12. The value of c and k that make the function {(x+2c,x le 2),(3cx+k, 2...

    Text Solution

    |

  13. A ball is thrown vertically from the top of a house 112 ft high. Its e...

    Text Solution

    |

  14. If f (x) = (x - 4)^2 (x + 2), then which only one of the following sta...

    Text Solution

    |

  15. The volume of the solid obtained by revolving the curve y = x^3 about...

    Text Solution

    |

  16. The center of mass of three particles having masses of 1, 2 and 3 unit...

    Text Solution

    |

  17. The volume of the parallelepiped having vertices at P (5, 4, 5), Q (4,...

    Text Solution

    |

  18. A particle is moving along the curve vec r( t ) = cos tbari +sin t b...

    Text Solution

    |

  19. If (dy)/(dx)=x^2-2x-4,y(3)=-6, then 3y is equal to

    Text Solution

    |

  20. A unit vector parallel to the xz– plane and perpendicular to the vecto...

    Text Solution

    |