Home
Class 12
MATHS
Let a, be the roots of the equation x^2+...

Let a, be the roots of the equation `x^2+x+1=0`. The equation whose roots are `alpha^19` and `beta^7` are:

A

`x^(2) - x - 3 = 0`

B

`x^(2) - x + 1 = 0 `

C

`x^(2) + x -1 = 0`

D

`x^(2) + x + 1 = 0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    MODERN PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (LEVEL-II)|61 Videos
  • QUADRATIC EQUATIONS

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|13 Videos
  • PROBABILITY

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS (QUESTIONS FROM KARNATAKA CET & COMED )|11 Videos
  • REAL NUMBERS

    MODERN PUBLICATION|Exercise Multiple Choice Questions (Level-II)|8 Videos

Similar Questions

Explore conceptually related problems

Let alpha and beta be the roots of the equation x^(2)+x+1=0 . The equation whose roots are alpha^(19) and beta^(7) is

If alpha and beta be the roots of the equation x^(2) + 7x + 12 = 0 . Then equation whose roots are (alpha + beta)^(2) and (alpha - beta)^(2) is :

If alpha and beta are the roots of the equation 2x^2-3x + 4=0 , then the equation whose roots are alpha^2 and beta^2, is

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

Roots of the equation x^(2) -2x+ 1 =0 are :

Let alpha, beta be the roots of x^(2)+x+1=0 . The equation whose roots are alpha^(25) and beta^(22) .

If alpha, beta be the roots of the equation x^2-px+q=0 then find the equation whose roots are q/(p-alpha) and q/(p-beta)

The roots of the equation 12 x^2 + x - 1 = 0 is :

If alpha, beta are the roots of the quadratic equation x^2 + bx - c = 0 , the equation whose roots are b and c , is

Roots of equation x^(2)-2x+1=0 are: