Home
Class 12
MATHS
If P(x ,y) is any point on the ellips...

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`

Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    ARIHANT MATHS ENGLISH|Exercise Example|4 Videos
  • ELLIPSE

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|18 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos
  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

Similar Questions

Explore conceptually related problems

If f(0)=1,f(2)=3,f'(2)=5 ,then find the value of I_(1)=int_(0)^(1)xf''(2x)dx

P is any variable point on the ellipse 4x^(2) + 9y^(2) = 36 and F_(1), F_(2) are its foci. Maxium area of trianglePF_(1)F_(2) ( e is eccentricity of ellipse )

If f(x+f(y))=f(x)+yAAx ,y in Ra n df(0)=1, then find the value of f(7)dot

Let P be a variable point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 with foci F_1" and "F_2 . If A is the area of the trianglePF_1F_2 , then the maximum value of A is

Let P be a variable point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 with foci F_1" and "F_2 . If A is the area of the trianglePF_1F_2 , then the maximum value of A is

If f(x+f(y))=f(x)+yAAx ,y in R a n df(0)=1, then find the value of f(7)dot

A ray emanating from the point (-3,0) is incindent on the ellipse 16x^(2)+25y^(2)=400 at the point p with ordinate 4. Find the equation of the reflected ray after first reflection.

P is any point on the hyperbola x^(2)-y^(2)=a^(2) . If F_1 and F_2 are the foci of the hyperbola and PF_1*PF_2=lambda(OP)^(2) . Where O is the origin, then lambda is equal to

If f(x)=x^2+x-42 and f(p-1)=0. what is a positive value of p ?

If f (x) is continous on [0,2], differentiable in (0,2) f (0) =2, f(2)=8 and f '(x) le 3 for all x in (0,2), then find the value of f (1).

ARIHANT MATHS ENGLISH-ELLIPSE-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If P(x ,y) is any point on the ellipse 16 x^2+25 y^2=400 and f1=(3,...

    Text Solution

    |

  2. The minimum area of the triangle formed by the tangent to (x^2)/(a^2)+...

    Text Solution

    |

  3. about to only mathematics

    Text Solution

    |

  4. An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci...

    Text Solution

    |

  5. In an ellipse, the distances between its foci is 6 and minor axis is 8...

    Text Solution

    |

  6. about to only mathematics

    Text Solution

    |

  7. A focus of an ellipse is at the origin. The directrix is the line x =4...

    Text Solution

    |

  8. The line passing through the extremity A of the major exis and extremi...

    Text Solution

    |

  9. The normal at a point P on the ellipse x^2+4y^2=16 meets the x-axis at...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. Find the equation of an ellipse hose axes lie along the coordinate ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |