If alpha, beta are the roots of ax^(2) +...

If `alpha, beta` are the roots of `ax^(2) + bx + c = 0`, then find the quadratic equation whose roots are `alpha + beta, alpha beta`.

A

`a^(2)x^(2)+a(0-c)x+bc=0`

B

`a^(2)x^(2)+a(0-c)x-bc=0`

C

`ax^(2)+(0+c)x+bc=0`

D

`ax^(2)-(0+c)x+bc=0`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

If alpha " & " beta are the roots of equation ax^(2) + bx + c = 0 then find the quadratic equation whose roots are alpha + 1 " & " beta + 1

If alpha " & " beta are the roots of equation ax^(2) + bx + c= 0 then find the quadratic equation whose roots are alpha^(2) " & " beta^(2)

If alpha " & " beta are the roots of equation ax^(2) + bx + c = 0 then find the Quadratic equation whose roots are (1)/(alpha) " & " (1)/(beta)

If alpha and beta are the roots of the equation x^(2)-3x+2=0, Find the quadratic equation whose roots are -alpha and -beta :

If alpha , beta are the roots of the quadratic equation ax^(2) + bx + c = 0 , then the quadratic equation whose roots are alpha^(3) , beta^(3) is

If alpha,beta are the roots of ax^(2)+bx+c=0 then find the equation whose roots are (1)/(alpha^(2)),(1)/(beta^(2))

Let alpha,beta are the roots of x^(2)+bx+1=0 . Then find the equation whose roots are -(alpha+1/ beta) and -(beta+1/ alpha)

Let alpha, beta are the roots of f(x)=ax^(2)+ bx +c=0 then quadratic equation whose roots are (alpha)/(1+alpha),(beta)/(1+beta) is

Let alpha, beta be the roots of x^(2) + bx + 1 = 0 . Them find the equation whose roots are -(alpha + 1//beta) and -(beta + 1//alpha).