Home
Class 12
MATHS
If alpha, beta, gamma are the real roots...

If `alpha, beta, gamma` are the real roots of the equation `x^3-3ax^2+3bx-1=0` then the centroid of the triangle with vertices `(alpha,1/alpha) (beta,1/beta) and `(gamma,1/gamma)` is at the point

Answer

Step by step text solution for If alpha, beta, gamma are the real roots of the equation x^3-3ax^2+3bx-1=0 then the centroid of the triangle with vertices (alpha,1/alpha) (beta,1/beta) and (gamma,1/gamma) is at the point by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

If alpha, beta gamma are the real roots of the equation x^(3)-3px^(2)+3qx-1=0 , then find the centroid of the triangle whose vertices are (alpha, (1)/(alpha)), (beta, (1)/(beta)) and (gamma, (1)/(gamma)) .

If alpha, beta gamma are the real roots of the equation x^(3)-3px^(2)+3qx-1=0 , then find the centroid of the triangle whose vertices are (alpha, (1)/(alpha)), (beta, (1)/(beta)) and (gamma, (1)/(gamma)) .

Knowledge Check

  • If alpha,beta, gamma are the real roots of the equation x^(3)-3ax^(2)+3bx-1=0 , then the centroid of the triangle whose vertices are the points (alpha, 1/(alpha)), (beta, 1/(beta)) and (gamma,1/(gamma)) is the point

    A
    `(a,b)`
    B
    `(a,-b)`
    C
    `(-a,b)`
    D
    `(-a,-b)`

  • If alpha, beta , gamma are the roots of the equation x^3-3x+2=0 then the equation whose roots are 1/alpha,1/beta,1/gamma is :

    A
    `2x^3-3x^2+1=0`
    B
    `x^3-1/3x+1/2=0`
    C
    `2x^3+3x^2-1=0`
    D
    `x^3-2x^3+3=0`

    • Similar Questions

    Explore conceptually related problems

    If alpha, beta gamma are the real roots of the equation x^(3)-3px^(2)+3qx-1=0 , then find the centroid of the triangle whose vertices are (alpha, (1)/(alpha)), (beta, (1)/(beta)) and (gamma, (1)/(gamma)) .

    If alpha, beta gamma are the real roots of the equation x^(3)-3px^(2)+3qx-1=0 , then find the centroid of the triangle whose vertices are (alpha, (1)/(alpha)), (beta, (1)/(beta)) and (gamma, (1)/(gamma)) .

    If alpha,beta,gamma are the real roots of the equation,x^(3)-3px^(2)+3qx-1=0, the centroid of the triangle whose vertices are (alpha,(1)/(alpha)),(beta,(1)/(beta)),(gamma,(1)/(gamma))quad is(p,p)(b)(p,0)(p,q)(d)(q,0)

    If alpha,beta,gamma are the real roots of the equation,x^(3)-3px^(2)+3qx-1=0, the cetroid of the triangle whose vertices are (alpha,(1)/(alpha)),(beta,(1)/(beta)),(gamma,(1)/(gamma)) is: a.(p,p) b.(p,0) c.(p,q) d.(q,0)

    alpha , beta , gamma are the roots of the equation x^(3)-3x^(2)+6x+1=0 . Then the centroid of the triangle whose vertices are (alpha beta,1/(alpha beta)) , (beta gamma, 1/(beta gamma)) , (gamma alpha,1/(gamma alpha)) is

    If tan alpha, tan beta, tan gamma are the roots of equation x^3 - 3ax^2 + 3bx - 1 =0 , find the centroid of the triangle whose vertices are (tan alpha, cot alpha), (tan beta, cot beta) and (tan gamma, cot gamma) .

    Home
    Profile