Home
Class 12
MATHS
Given f is increasing, the equation x^(2...

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

A

[-1,3]

B

[1,3]

C

(-1,3)

D

(0,5)

Text Solution

Verified by Experts

The correct Answer is:
C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|15 Videos

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise For Session 3|14 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

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

Similar Questions

Explore conceptually related problems

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

Extrremities of the latera recta of the ellipses (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(a>b) having a given major axis 2a lies on

Knowledge Check

  • 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
    `alphain (1infty,1)`
    B
    `alphain(5,infty)`
    C
    `alphain(1,4)`
    D
    `alphain(-1,5)`

  • 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
    `a in (-oo, 1)`
    B
    `a in (5, oo)`
    C
    `a in (1, 4)`
    D
    `a in (-1, 5)`

  • 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

    A
    `a cancelin (-oo, -6)`
    B
    `a cancelin(2,oo)`
    C
    `a cancelin(-6,2)`
    D
    `a gt 0`

    • Similar Questions

    Explore conceptually related problems

    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

    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 belongs to :

    If the length of the major axis of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is three times the length of minor axis, then its eccentricity is

    If the length of the major axis of the ellipse (x^(2))/(a^(2))+ (y^(2))/(b^(2)) =1 is three times the length of minor axis, its eccentricity is

    If the length of the major axis of the ellipse ((x^(2))/(a^(2)))+((y^(2))/(b^(2)))=1 is three times the length of minor axis, its accentricity is

    Home
    Profile