Home
Class 12
MATHS
The P is any point on the ellipse 4 x^(2...

The `P` is any point on the ellipse `4 x^(2)+16 y^(2)=64` whose foci are `S` and `S^(prime)`, then `S P+S^(prime) P=`

A

4

B

8

C

12

D

16

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|390 Videos

  • HYPERBOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|162 Videos

Similar Questions

Explore conceptually related problems

P is any point on the ellipse 9x^(2) + 36y^(2) = 324 whose foci are S and S'. Sp + S'P =

P is any point on the ellipse 9x^2 + 36y^2 = 324 whose foci are S and S' , SP + S'P =

The foci of the ellipse 4 x^(2)+3 y^(2)=24 are the points

If P is any point on the ellipse (x^(2))/(36) + (y^(2))/(16) = 1 , and S and S' are the foci, then PS + PS' =

Let P be a variable point on the ellipse x^(2)/25 + y^(2)/16 = 1 with foci at S and S'. If A be the area of triangle PSS' then the maximum value of A, is

If P is any point on the hyperbola x^(2)-y^(2)=a^(2) then S P . S^(prime) P=, where S, S^(prime) and C are respectively foci and the centre of the hyperbola

If P is any point on the ellipse 16 x^(2)+25 y^(2)=400 then P S_(1)+P S_(2)= , where S_(1) and S_(2) are the foci of the ellipse.

Find the foci of the ellipse x^2/25+y^2/16=1

If P is any point on the hyperbola ((x-1)^(2))/(9)-((y+1)^(2))/(16)=1 and S_(1) and S_(2) are its foci, then |S_(1) P-S_(2) P|=

Let P be a variable point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 with foci S_(1)andS_(2) . If A be the area of the triangle PS_(1)S_(2) , then the maximum value of A is :

HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
  1. The eccentricity of the ellipse 9x^(2) + 25y^(2) = 225 is

    Text Solution

    |

  2. The length of the latus rectum of the ellipse 49 x^(2)+64 y^(2)=3136

    Text Solution

    |

  3. The P is any point on the ellipse 4 x^(2)+16 y^(2)=64 whose foci are S...

    Text Solution

    |

  4. The product of the perpendiculars from the foci on any tangent to the ...

    Text Solution

    |

  5. Length of the latus rectum of the ellipse (x^(2))/(25)+(y^(2))/(9)=1 ...

    Text Solution

    |

  6. The equation of the ellipse whose one focus is at (4,0) and whose ecce...

    Text Solution

    |

  7. The centre of the ellipse 9 x^(2)+5 y^(2)-36 x-50 y+116=0 is

    Text Solution

    |

  8. If y=x+c is a tangent to the ellipse 9 x^(2)+16 y^(2)=144, thenc=

    Text Solution

    |

  9. If the latus-rectum of the ellipse is half the minor axis, then its ec...

    Text Solution

    |

  10. Eccentricity of the ellipse 25 x^(2)+9 y^(2)-150 x-90 y+225=0

    Text Solution

    |

  11. An ellipse with eccentricity e=(1)/(2) has a focus at (0,0) and the co...

    Text Solution

    |

  12. An ellipse has a minor axis of Iength 6 and the distance between its f...

    Text Solution

    |

  13. In an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 if the distance betwee...

    Text Solution

    |

  14. The angle between the lines joining the foci of an ellipse to an extre...

    Text Solution

    |

  15. The ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 cuts the x -axis at A an...

    Text Solution

    |

  16. The locus of the point of intersection of two perpendicular tangents t...

    Text Solution

    |

  17. An ellipse has its centre (1,-1) and semi major axis is 8, which passe...

    Text Solution

    |

  18. The distance between the foci is 6, e=(1)/(2), the length of the major...

    Text Solution

    |

  19. Equation of the tangent and the normal drawn at the point (6,0) on the...

    Text Solution

    |

  20. The locus of the point of intersection of the perpendicular tangents t...

    Text Solution

    |