Home
Class 11
MATHS
Consider the ellipse (x^2)/(f(k^2+2k+5))...

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,)`

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

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

Consider the ellipse x^2/(f(k^2-4k+6))+y^2/(f(k+12))=1 where f(x) is a positive decreasing function. The number of integral non-negative values of k for which major axis lies on the line y = 0 is

Knowledge Check

  • The set of values of k for which roots of the equation x^(2) - 3x + k = 0 lie in the interval (0, 2), is

    A
    `(2, oo)`
    B
    `(0, oo)`
    C
    `(-oo, 9//4)`
    D
    `(2, 9//4)`

  • If the vertex of the parabola y=x^(2)-16x+k lies on x-axis,then the value of k is

    A
    16
    B
    8
    C
    64
    D
    -64

  • The exhaustive set of values of k for which tangents drawn from the point (k + 3, k) to the parabola y^(2)=4x , are real, is

    A
    (-2, 6)
    B
    `(-oo,-2)cup(6,oo)`
    C
    `(-oo,-2]cup[6,oo)`
    D
    None of these

    • Similar Questions

    Explore conceptually related problems

    The set of values of k for which kx^(2)-x-k+1<0AA x in R, is

    The set of values of k for which x^(2)+(4k-1)x+9>0AA x in R is

    Set of values of 'K' for which roots of the quadratic x^(2)-[2K-1)x+K(K-1)=0 are

    The value of k such that the line 3x+4y+5-k(x+y+3)=0 is parallel to y-axis is

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

    Home
    Profile