Home
Class 12
MATHS
If B and B' are the ends of minor axis a...

If B and B' are the ends of minor axis and S and S' are the foci of the ellipse `x^(2)/25 + y^(2)/9 = 1`, then area of the rhombus SBS' B', in square units, will be

A

12

B

48

C

24

D

36

Text Solution

Verified by Experts

The correct Answer is:
C
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 distance from the foci of P(a,b) on the ellipse (x^(2))/(9)+(y^(2))/(25)=1 are

Foci of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(alt b) are

If P is any point on the ellipse (x^(2))/(25) + (y^(2))/(9) = 1 whose foci are S and S' perimeter of Delta SPS' is

The vertices of a quadrilateral are situated at foci and the extrimities of the minor axis of the ellipse 4x^(2) + 9y^(2) = 36 . Find the area of the quadrilateral .

Equation of a line joining a foci of the ellipse x^2/25+y^2/9=1 to a foci of the ellipse x^2/9+y^2/25=1 is ,

C is the centre of the ellipse (x^(2))/(25)+(y^(2))/(16)=1 and S is one of the foci.The ratio of CS to semi major axis is

OBJECTIVE RD SHARMA-ELLIPSE-Exercise
  1. If C is the centre of the ellipse 9x^(2) + 16y^(2) = 144 and S is one ...

    Text Solution

    |

  2. In an ellipse the distance between the foci is 8 and the distance betw...

    Text Solution

    |

  3. The centre of the ellipse 4x^(2) + 9y^(2) + 16x - 18y - 11 = 0 is

    Text Solution

    |

  4. If P is any point on the ellipse 9x^(2) + 36y^(2) = 324 whose foci are...

    Text Solution

    |

  5. An ellipse is described by using an endless string which is passed ove...

    Text Solution

    |

  6. Two perpendicular tangents drawn to the ellipse (x^2)/(25)+(y^2)/(16)=...

    Text Solution

    |

  7. The distance of the point 'theta' on the ellipse x^(2)/a^(2) + y^(2)/b...

    Text Solution

    |

  8. If y = mx + c is a tangent to the ellipse x^(2) + 2y^(2) = 6, them c^(...

    Text Solution

    |

  9. Let P be a variable point on the ellipse x^(2)/25 + y^(2)/16 = 1 with ...

    Text Solution

    |

  10. The ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and the straight line y=mx+c int...

    Text Solution

    |

  11. Let E be the ellipse x^(2)/9 + y^(2)/4 = 1 and C be the circle x^(2) +...

    Text Solution

    |

  12. Equation of the ellipse with accentricity 1/2 and foci at (pm 1, 0), i...

    Text Solution

    |

  13. If B and B' are the ends of minor axis and S and S' are the foci of th...

    Text Solution

    |

  14. The length of the axes of the conic 9x^(2) + 4y^(2) -6x+ 4y + 1 = 0, a...

    Text Solution

    |

  15. If the normal at any given point P on the ellipse x^(2)/a^(2) + y^(2)/...

    Text Solution

    |

  16. If the curves x^(2) + 4y^(2) = 4, x^(2) + a^(2) y^(2) = a^(2) for suit...

    Text Solution

    |

  17. If P(theta),Q(theta+pi/2) are two points on the ellipse x^2/a^2+y^2/b^...

    Text Solution

    |

  18. An ellipse has point (1,-1)a n d(2,-1) as its foci and x+y-5=0 as one ...

    Text Solution

    |

  19. If the length of the semi-major axis of an ellipse is 68 and e = 1/2, ...

    Text Solution

    |

  20. If the tangent at the point (4 cos theta, (16)/(sqrt(11)) sin theta) t...

    Text Solution

    |