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

If ` alpha , beta , gamma ` are the roots of ` x^3 + qx +r=0` then `(1)/( alpha + beta - gamma) +(1)/( beta + gamma - alpha) +(1)/(gamma + alpha - beta)`=

A

`(q)/(2r)`

B

`(q)/(r )`

C

`(2q)/(r )`

D

`-(2q )/(r )`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

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

If alpha , beta , gamma are the roots of x^3 +px^2 +qx +r=0 then find sum alpha^3

If alpha , beta , gamma are the roots of the equation x^3 +px^2 +qx +r=0 then sum alpha^2 ( beta + gamma)=

If alpha , beta , gamma are the roots of x^3 + 2x^2 + 3x +8=0 then ( alpha + beta ) ( beta + gamma) ( gamma + alpha ) =

If alpha , beta , gamma are the roots of x^3 + px^2+qx -r=0 then alpha^2 + beta^2 + gamma^2 =

If alpha, beta ,gamma are roots of x^(3) + px^(2) + qx + r = 0 then sum (1)/(alpha^(2)) =

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

If alpha , beta , gamma are the roots of x^3 +px^2 +qx +r=0 then find sum alpha^2 beta + sum alpha beta ^2

If alpha , beta , gamma are the roots of x^3 + 3x^2 -4x +2=0 then the equation whose roots are (1)/( alpha beta) ,(1)/( beta gamma) ,(1)/( gamma alpha) is

cos alpha sin (beta-gamma) + cos beta sin (gamma-alpha) + cos gamma sin (alpha-beta)=