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

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

A

`2(p^2 -3q)`

B

`r-pq`

C

`qp+r`

D

`(p^2 -2q)/(r^2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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 alpha^3

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

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 form the equation whose roots are alpha beta , beta gamma , gamma alpha

If alpha , beta , gamma are the roots of the equation x^3 +px^2 + qx +r=0 prove that ( alpha + beta ) ( beta + gamma) ( gamma + alpha ) =r-pq

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

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 find sum alpha^2 beta + sum alpha beta ^2

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

If alpha , beta , gamma are the roots of x^3 -7x + 6 =0 the equation whose roots are alpha + beta , beta + gamma , gamma + alpha is