Home
Class 12
MATHS
If alpha,beta , are roots of the equatio...

If `alpha,beta` , are roots of the equation `x^2+sqrt(x)alpha+beta=0,betabeta` then values of `alphaa n dbeta` are 1.`alpha=1a n dbeta=1` 2. `alpha=1a n dbeta=-2` 3. `alpha=2a n dbeta=1` `alpha=2a n dbeta=-2`

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are the roots of the equation x^2-2x+4=0 , then the value of alpha^n+beta^n will be

If alpha and beta are the roots of the equation x ^(2) - 2x + 4 =0, then the value of alpha ^(n) + beta ^(n) will be

Knowledge Check

  • If alpha and beta are roots of the equation x^(2)-2x+2=0, then the least value of n for which ((alpha)/beta)^(n)=1 is

    A
    2
    B
    5
    C
    4
    D
    3

  • If alpha,beta are the roots of the equation 2x^(2) - 2(1+n)^(2) x+(1 + n^(2)+ n^(4))=0 then what is the value of alpha^(2) + beta^(2) ?

    A
    `2n^(2)`
    B
    `2n^(4)`
    C
    2
    D
    `n^(2)`

    • Similar Questions

    Explore conceptually related problems

    If alpha and beta are the roots of the equation x^(2)-ax+b=0 and A_(n)=alpha^(n)+beta^(n)

    If alpha,beta are the roots of the equation x^(2)-mx+n=0 the value of (1+a+a^(2))(1+beta+beta^(2)) is

    If alpha,beta are the roots of an equation x^(2)-2x cos theta+1=0 then the equation having alpha^(n) and beta^(n) is

    If alpha and beta be the roots of the equation x^(2)+3x+1=0 then the value of ((alpha)/(1+beta))^(2)+((beta)/(alpha+1))^(2)

    If alpha,beta are the roots of x^(2)-2x+4=0 then alpha^(n)+beta^(n) is

    If alpha,beta are roots of the equation x^(2)-px+q=0, then find the value of (i)alpha^(2)(alpha^(2)beta^(-1)-beta)+beta^(2)(beta^(2)alpha^(-1)-alpha)

    Home
    Profile