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

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

A

1

B

`-1`

C

2

D

`-2`

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A|165 Videos

  • THEORY OF EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|76 Videos

  • THEORETICAL DISTRIBUTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1.2.3 OR 4 GIVEN (SET -4)|5 Videos

  • TRANSFORMATION OF AXES

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-4|3 Videos

Similar Questions

Explore conceptually related problems

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 the roiots of x^(3) - 10x^(2) +6x - 8 = 0 then alpha^(2) + beta^(2) + gamma^(2) =

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

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

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

If alpha, beta, gamma are roots of x^(3) + ax^(2) + bx + c = 0 then sum alpha^(2) beta =

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

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

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