If alpha, beta, gamma are the roots of t...

If `alpha, beta, gamma` are the roots of the equation `x^(3)+ax+b=0`, then `(alpha^(3)+beta^(3)+gamma^(3))/(alpha^(2)+beta^(2)+gamma^(2))=`

A

`(3b)/(2a)`

B

`(-3b)/(2a)`

C

3b

D

2a

Text Solution

Verified by Experts

The correct Answer is:

A

Topper's Solved these Questions

THEORY OF QUADRATIC EQUATIONS
ML KHANNA|Exercise Problem Set - 1 (True And False)|3 Videos
THEORY OF QUADRATIC EQUATIONS
ML KHANNA|Exercise Problem Set - 1 (Fill In The Blanks)|4 Videos
THE PARABOLA
ML KHANNA|Exercise MISCELLANEOUS EXERCISE (Assertion/ Reason)|1 Videos
TRIGONOMETRICAL EQUATIONS
ML KHANNA|Exercise SELF ASSESSMENT TEST |27 Videos

Similar Questions

Explore conceptually related problems

if alpha, beta, gamma are the roots of the equation x^(3) + 3x + 2=0 " then " (alpha^(3) +beta^(3)+gamma^(3))/(alpha^(2) +beta^(2)+gamma^(2))

If alpha,beta,gamma are the roots of the equation x^(3)+ax+b=0, then (alpha^(3)+beta^(3)+y^(3))/(alpha^(2)+beta^(2)+gamma^(2))=

If alpha,beta,gamma are the roots of the equation 2x^(3)x^(2)+x-1=0 then alpha^(2)+beta^(2)+gamma^(2)=

If alpha, beta, gamma are the roots of x^(3)+ax+b=0 , then find the value of alpha^(3)+beta^(3)+gamma^(3) .

If alpha, beta, gamma are the roots of the equation x^(3) + ax^(2) + bx + c = 0, "then" alpha^(-1) + beta^(-1) + gamma^(-1)=

If alpha,beta,gamma are the roots of the equation x^(3)+4x+1=0 then (alpha+beta)^(-1)+(beta+gamma)^(-1)+(gamma+alpha)^(-1)=

If alpha,beta,gamma are the roots of the equation 2x^(3)-5x^(2)+3x-1=0, then (1)/(alpha beta)+(1)/(beta gamma)+(1)/(gamma alpha) is

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

If alpha,beta,gamma are the roots of the equation x^(3)+px^(2)+qx+r=0, then the value of (alpha-(1)/(beta gamma))(beta-(1)/(gamma alpha))(gamma-(1)/(alpha beta)) is

ML KHANNA-THEORY OF QUADRATIC EQUATIONS -Self Assessment Test

If alpha, beta, gamma are the roots of the equation x^(3)+ax+b=0, then...
Text Solution
|
If the equation x^(2)-(2+m)x +(m^(2)-4m+4)=0 has equal roots then the ...
Text Solution
|
The number of real solutions of the equation |x|^(2)-3|x|+2=0 is :
Text Solution
|
Find the number of solution of the equation e^(sinx)-e^(-sinx)-4=0
Text Solution
|
The roots of the equation (p-q) x^(2)+(q-r) x+(r-p)=0 are
Text Solution
|
If one root of x^(2) + px+12 = 0 is 4, while the equation x ^(2)...
Text Solution
|
Let alpha and beta are the roots of the equation x^(2) + x + 1 = 0 The...
Text Solution
|
If the quadratic equation x^(2) +ax +b =0 and x^(2) +bx +a =0 (a ne b...
Text Solution
|
If the roots of the equation x^2-8x+a^2-6a=0 are real distinct, then f...
Text Solution
|
The value of k for which the equation x^(2)-(3k-1)x+2k^(2)+2k=11 have ...
Text Solution
|
if 2 = I sqrt3 be a root of the equation x^(2) + px + q =0, where p ...
Text Solution
|
The number of solutions of the pair of equations 2s in^2theta-cos2thet...
Text Solution
|
If alpha, beta are roots of the equations Ax^(2)+Bx+C=0. Then value of...
Text Solution
|
If the equation x^(2)+px+q=0 and x^(2)+qx+p=0 have a common root then ...
Text Solution
|
If alpha and beta (alpha lt beta) are the roots of the equation x^(2) ...
Text Solution
|
If 2a+3b+6c=0, then prove that at least one root of the equation a x^2...
Text Solution
|
If the roots of the equation (x^2-b x)/(a x-c)=(m-1)/(m+1) are equal t...
Text Solution
|
If sin alpha, cos alpha are the roots of the equation ax^(2)+bx+c=0, t...
Text Solution
|
If alpha, beta are the roots of x^(2)-ax+b =0 and If alpha^(n)+beta^(n...
Text Solution
|
The value of a for which one root of the quadratic equation (a^2-5a+3)...
Text Solution
|
If a,b, c are in G.P., then the equations ax^(2) + 2bx + c = 0 and dx^...
Text Solution
|