Home
Class 11
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

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

If f(0)=1,f(2)=3,f^'(2)=5 ,then find the value of int_0^1xf^('')(2x)dx

if 2f(x)+3f(-x)=x^2+x+1 find the value of f'(1)

If f(x)=x^2+ax+bandf(1)=1,f(2)=2, find the value of f(3).

If f(x)=x^2-3x+1 , then find f(0) .

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

If 2f(x).+ 3f(-x) = x^2-x+1, find the value of f(1).

If f(x)=int(3x^2+1)/((x^2-1)^3)dx and f(0)=0, then the value of |2/(f(2))| is___

If y=f(x^(2)) and f'(x)=sqrt(3x^(2)+1) then the value of (dy)/(dx) at x=2 is -

A continuous real function f satisfies f(2x)=3f(x)AAx in RdotIfint_0^1f(x)dx=1, then find the value of int_1^2f(x)dx

If F(x)=(a)/(x)+b+cxand F(1)=5,F(-2)=2 and F(-1)=-3 , find the value of F(-3).

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. The minimum area of the triangle formed by the tangent to (x^2)/(a^2)+...

    Text Solution

    |

  2. P is a point on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1, and N...

    Text Solution

    |

  3. If P(x ,y) is any point on the ellipse 16 x^2+25 y^2=400 and f1=(3,...

    Text Solution

    |

  4. Find the equation of the hyperbola whose foci are (8,3)a n d(0,3) and ...

    Text Solution

    |

  5. The number of values of c such that the straight line y=4x+c touches t...

    Text Solution

    |

  6. Find the equations of tangents to the curve 4x^(2)-9y^(2)=1 which are ...

    Text Solution

    |

  7. Find the value of m for which y=mx+6 is a tangent to the hyperbola (x^...

    Text Solution

    |

  8. If a hyperbola passes through the foci of the ellipse (x^2)/(25)+(y^2)...

    Text Solution

    |

  9. One the x-y plane, the eccentricity of an ellipse is fixed (in size a...

    Text Solution

    |

  10. Find the equation of tangent to the conic x^2-y^2-8x+2y+11=0 at (2,1).

    Text Solution

    |

  11. The equation of one directrix of a hyperbola is 2x+y=1, the correspond...

    Text Solution

    |

  12. The distance of a point on the ellipse (x^2)/6+(y^2)/2=1 from the cent...

    Text Solution

    |

  13. A hyperbola having the transverse axis of length 2sintheta is confocal...

    Text Solution

    |

  14. If it is posssible to draw the tangent to the hyperbola (x^(2))/(a^(2)...

    Text Solution

    |

  15. The set of values of m for which it is possible to draw the chord y=sq...

    Text Solution

    |

  16. Find the equations of the tangents to the hyperbola x^(2)-9y^(2)=9 tha...

    Text Solution

    |

  17. Let a and b be nonzero real numbers. Then the equation (a x^2+b y^2+c)...

    Text Solution

    |

  18. x^2/(r^2-r-6)+y^2/(r^2-6r+5)=1 will represent ellipse if r lies in the...

    Text Solution

    |

  19. Find the equations to the common tangents to the two hyperbolas (x^2)/...

    Text Solution

    |

  20. Let P(6, 3) be a point on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2)...

    Text Solution

    |