Home
Class 12
MATHS
If P=(x, y), F(1)=(3,0), F(2)=(-3,0) and...

If `P=(x, y), F_(1)=(3,0), F_(2)=(-3,0)` and `16 x^(2)+25 y^(2)=400` then `P F_(1)+P F_(2)=`

A

8

B

6

C

10

D

12

Text Solution

Verified by Experts

The correct Answer is:
C
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

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.

If F_(1) is (3, 0) and F_(2) is (-3,0) and P is any point on the ellipse (x^(2))/(25)+(y^(2))/(16)=1 , then |PF_(1)|+|PF_(2)| equals :

If P(x ,y) is any point on the ellipse 16 x^2+25 y^2=400 and F_1=(3,0)F_2=(-3,0) , then find the value of P F_1+P F_2dot

If P = int_0^(3pi) f(cos^(2)x) dx and Q = int_0^(pi) f(cos^(2)x) dx then

If y = f((2x-1)/(x^(2)+1)) and f^(')(x) = sin x^(2) , then dy/dx =

IF P (E ) =0.6 ,P( F) =0.3 and P (E nn F )=0.2 , find P(F|E) .

If 2f(x) = f^(')(x) and f(0) = 3, then f(2) =

If f(x) = int (x^(2)+sin^(2)x)/(1+x^(2)) sec^(2)x dx and f(0) = 0, then f(1) =

HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
  1. A circle touches the x - axis and also touches the circle with centre ...

    Text Solution

    |

  2. In an ellipse the distance between the foci is 6 and minor axis is 8 ....

    Text Solution

    |

  3. If P=(x, y), F(1)=(3,0), F(2)=(-3,0) and 16 x^(2)+25 y^(2)=400 then P ...

    Text Solution

    |

  4. If tangents are drawn to the ellipse x^(2)+2 y^(2)=2 then the locus of...

    Text Solution

    |

  5. The area of the quadrilateral formed by the tangents at the end points...

    Text Solution

    |

  6. A tangent is drawn at the point (3 sqrt(3) cos theta, sin theta) for 0...

    Text Solution

    |

  7. The graph represented by the equations x=sin ^(2) t y=2 cos t is

    Text Solution

    |

  8. The centre of the ellipse ((x+y-2)^(2))/(9)+((x-y)^(2))/(16)=1 is

    Text Solution

    |

  9. If (x)/(a)+(y)/(b)=sqrt(2) touches the ellipse (x^(2))/(a^(2))+(y^(2))...

    Text Solution

    |

  10. The eccentricity of the ellipse 9 x^(2)+5 y^(2)-30 y=0 is

    Text Solution

    |

  11. If the major axis of an ellipse is 3 times its minor axis its ecentric...

    Text Solution

    |

  12. A circle described with minor axis of an ellipse as a diameter. If the...

    Text Solution

    |

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

    Text Solution

    |

  14. The eccentricity of the ellipse 5 x^(2)+9 y^(2)=1 is

    Text Solution

    |

  15. The curve represents by x=2(cos t+sin t) and y=5(cos t-sin t) is

    Text Solution

    |

  16. The eccentricity of the ellipse 9 x^(2)+5 y^(2)-18 x-20 y-16=0 is

    Text Solution

    |

  17. The eccentricity of the conic 36 x^(2)+144 y^(2)-36 x-96 y-119=0 is

    Text Solution

    |

  18. The sides of the rectangle of greatest area that can be inseribed in t...

    Text Solution

    |

  19. Equation of latus recta of the ellipse 9 x^(2)+4 y^(2)-18 x-8 y-23=0...

    Text Solution

    |

  20. On the ellipse 4 x^(2)+9 y^(2)=1, the point at which the tangent are p...

    Text Solution

    |