Home
Class 12
MATHS
If x^(2)/(f(4a))+y^(2)/(f(a^(2)-5)) repr...

If `x^(2)/(f(4a))+y^(2)/(f(a^(2)-5))` represents an ellipse with major axis as Y-axis and f is a decreasing function,then

A

(1,4)

B

(-1,1)

C

(-1,5)

D

`(5,oo))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL-II)|20 Videos
  • ELLIPSE

    FIITJEE|Exercise COMPREHENSIONS I|3 Videos
  • ELLIPSE

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) (LEVEL-II)|14 Videos
  • DETERMINANT

    FIITJEE|Exercise NUMERICAL BASED|3 Videos
  • FUNCTION

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

Given f is increasing, the equation x^(2)/(f(2a))+y^(2)/(f(a^(2)-3))=1 represents an ellipse with X-axis as major axis if

Let f be a strictly decreasing function defined on R such that f(x) gt 0 AA x in R, and x^2/(f(a^2+5a+3))+y^2/(f(3a+15)) =1 represents an ellipse with major axis along the y-axis , then

Equation (x^(2))/(k^(2)-3)+(y^(2))/(2k)=1 represents an ellipse with y-axis as the major axis if k in

If x^2/(sec^2 theta) +y^2/(tan^2 theta)=1 represents an ellipse with eccentricity e and length of the major axis l then

Consider the ellipse (x^(2))/(f(k^(2)+2k+5))+(y^(2))/(f(k+11))=1 ,f(x) is a positive decreasing function the number of integral values of k for which the major axis is x -axis is

If the circle whose diameter is the major axis of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(a gt b gt 0) meets the minor axis at point P and the orthocentre of DeltaPF_(1)F_(2) lies on the ellipse, where F_(1) and F_(2) are foci of the ellipse, then the square of the eccentricity of the ellipse is

Consider the ellipse (x^2)/(f(k^2+2k+5))+(y^2)/(f(k+11))=1. If f(x) is a positive decr4easing function, then the set of values of k for which the major axis is the x-axis is (-3,2)dot the set of values of k for which the major axis is the y-axis is (-oo,2)dot the set of values of k for which the major axis is the y-axis is (-oo,-3)uu(2,oo) the set of values of k for which the major axis is the y-axis is (-3,-oo,)

For the ellipse ((x+y-1)^(2))/(9)+((x-y+2)^(2))/(4)=1 the end of major axis are

FIITJEE-ELLIPSE-ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL-I)
  1. The minimum value of {(r+5 -4|cos theta|)^(2) +(r-3|sin theta|)^(2)} A...

    Text Solution

    |

  2. The locus of focus of ellipse with length of major axis 2a and minor a...

    Text Solution

    |

  3. Tangents at right angle are drawn to the ellipse x^(2)/a^(2)+y^(2)/b^(...

    Text Solution

    |

  4. Find the range of eccentricity of the ellipse x^2/a^2+y^2/b^2=1, (wher...

    Text Solution

    |

  5. An ellipse has the points (1, -1) and (2,-1) as its foci and x + y = 5...

    Text Solution

    |

  6. Normal at any pint on the ellipse 9x^(2)+16^(2)=144 meets the co-ordin...

    Text Solution

    |

  7. The length of perpendicular from the foci S and S on any tangent to e...

    Text Solution

    |

  8. If x^(2)/(f(4a))+y^(2)/(f(a^(2)-5)) represents an ellipse with major a...

    Text Solution

    |

  9. If pair of tangents drawn to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(...

    Text Solution

    |

  10. An ellipse has directrix x+y=-2 focus at (3,4) eccentricity =1//2, the...

    Text Solution

    |

  11. An figure given below consisting of two equal and externally tangent c...

    Text Solution

    |

  12. The length of the sides of the square which can be made by four perpen...

    Text Solution

    |

  13. If the line x+2y+4=0 cutting the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

    Text Solution

    |

  14. If the difference of the accentric angles of two points P and Q on the...

    Text Solution

    |

  15. If the normal at any given point P on the ellipse x^(2)/a^(2) + y^(2)/...

    Text Solution

    |

  16. The equation of normal to the ellipse x^(2)+4y^(2)=9 at the point wher...

    Text Solution

    |

  17. Line segment AK(1), K(2)....... AK(n) are drawn from A(1,1) where K(1)...

    Text Solution

    |

  18. If 'd' be the length of perpendicular drawn from origin to any normal ...

    Text Solution

    |

  19. Statement-1 : The condition on a and b for which two distinct chords o...

    Text Solution

    |

  20. The tangent at a point P on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)...

    Text Solution

    |