Home
Class 11
MATHS
If Sa n dS ' ' are the foci of the elli...

If `Sa n dS ' '` are the foci of the ellipse `(x^2)/(25)+(y^2)/(16)=1` , and `P` is any point on it, then the range of values of `S PdotS ' P` is (a)`9lt=f(theta)lt=16` (b) `9lt=f(theta)lt=25` (c)`16lt=f(theta)lt=25` (d) `1lt=f(theta)lt=16`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Let P be a variable on the ellipse (x^(2))/(25)+ (y^(2))/(16) =1 with foci at F_(1) and F_(2)

If f(x)=8-x^(2) where -3lt x lt3 , what is the range of values of f(x) ?

If theta is the angle between two vectors veca and vecb , then veca* vecb ge 0 only when (A)0 lt theta lt pi/2 (B) 0lt=theta lt=pi/2 (C)0 lt theta lt pi (D)0 lt=theta lt=pi

If costheta =-1/2 and 0 lt theta lt 360^(@) , then the value of theta are

If 0 lt theta lt pi//2 then .find the least value of tan theta + cot theta

If alpha, beta be the roots of 4x^(8) - 16x + c = 0, c in R such that 1 lt alpha lt 2 and 2 lt beta lt 3 , then the number of integral values of c is

If a lt b lt c , then find the range of f(x)="|x-a|+|x-b|+|x-c|

Find the value of the other five trigonometric functions : sec theta = 13/5 , (3pi)/2 lt theta lt 2pi

Solve for theta(0^(@) lt theta lt 90^(@)) : 2sin^(2)theta-2costheta=1/2

Find the value of the other five trigonometric functions : cot theta = -12/5 , pi/2 lt theta lt pi

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. The locus of the point which is such that the chord of contact of t...

    Text Solution

    |

  2. The equation of conjugate axis of the hyperbola x y-3y-4x+7=0 is y+x=3...

    Text Solution

    |

  3. If Sa n dS ' ' are the foci of the ellipse (x^2)/(25)+(y^2)/(16)=1 ,...

    Text Solution

    |

  4. The asymptote of the hyperbola x^2/a^2+y^2/b^2=1 form with ans tangen ...

    Text Solution

    |

  5. Let d1a n dd2 be the length of the perpendiculars drawn from the foci...

    Text Solution

    |

  6. The asymptotes of the hyperbola x y=h x+k y are x-k=0 and y-h=0 x+h=0...

    Text Solution

    |

  7. The line x=t^2 meets the ellipse x^2+(y^2)/9=1 at real and distinct ...

    Text Solution

    |

  8. The equation of a rectangular hyperbola whose asymptotes are x=3 and y...

    Text Solution

    |

  9. The eccentric angle of a point on the ellipse (x^2)/4+(y^2)/3=1 at a d...

    Text Solution

    |

  10. The center of a rectangular hyperbola lies on the line y=2xdot If one...

    Text Solution

    |

  11. (x-1)(y-2)=5 and (x-1)^2+(y+2)^2=r^2 intersect at four points A, B, C,...

    Text Solution

    |

  12. The eccentricity of the locus of point (2h+2,k), where (h , k) lies on...

    Text Solution

    |

  13. If the foci of a hyperbola lie on y=x and one of the asymptotes is y=2...

    Text Solution

    |

  14. The auxiliary circle of a family of ellipses passes through the ori...

    Text Solution

    |

  15. Four points are such that the line joining any two points is perpendic...

    Text Solution

    |

  16. A man running around a race course notes that the sum of the distances...

    Text Solution

    |

  17. If tangents OQ and OR are dawn to variable circles having radius r and...

    Text Solution

    |

  18. Let Sa n dS ' be two foci of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 . I...

    Text Solution

    |

  19. The equation, 2x^2+ 3y^2-8x-18y+35= K represents

    Text Solution

    |

  20. If the curves (x^2)/4+y^2=1 and (x^2)/(a^2)+y^2=1 for a suitable val...

    Text Solution

    |