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

If `alpha, beta` and `gamma` are the roots of the cubic equation `x^3 + 2x^2 + 3x + 4 = 0,` for a cubic equation roots are
`1/alpha, 1/beta, 1/gamma`

Text Solution

Verified by Experts

The correct Answer is:
`=(-3)/4`
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    PREMIERS PUBLISHERS|Exercise Exercise 3.2|5 Videos
  • THEORY OF EQUATIONS

    PREMIERS PUBLISHERS|Exercise Exercise 3.3|8 Videos
  • THEORY OF EQUATIONS

    PREMIERS PUBLISHERS|Exercise Problems for practice (Answer the following)|21 Videos
  • PROBABILITY DISTRIBUTIONS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|40 Videos
  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|30 Videos

Similar Questions

Explore conceptually related problems

If alpha, beta and gamma are the roots of the cubic equation x^3 + 2x^2 + 3x + 4 = 0, for a cubic equation roots are 2 alpha, 2 beta, 2 gamma

If alpha, beta and gamma are the roots of the cubic equation x^3 + 2x^2 + 3x + 4 = 0, for a cubic equation roots are -alpha, -beta, -gamma

If alpha, beta and gamma are the cubic equation x^3-6x^2+11x-6=0 . From a cubic equation whose roots are 2alpha, 2beta, 2gamma .

If alpha,beta,gamma are the roots of the equation x^3-p x+q=0, then find the cubic equation whose roots are alpha/(1+alpha),beta/(1+beta),gamma/(1+gamma) .

If alpha and beta are the roots of the quadratic equation x^(2) + sqrt(2) x + 3=0 form a quadratic equation with roots (1)/(alpha) and (1)/(beta)

If alpha, beta, gamma are the roots of the equation x^3 - 3x + 11 =0 , then alpha + beta + gamma is ………….

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 :

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

If alpha , beta , gamma are the roots of the equations x^3+px^2+qx+r=0 find the value of sum1/alpha