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

If `alpha,beta` are the roots of the equation `ax^2 + bx +c=0` such that `beta < alpha < 0`, then the quadratic equation whose roots are `|alpha|,|beta|` is given by

A

`|a|x^(2) + |b|x+|c|=0`

B

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

C

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

D

`a|x^(2)|+b|x|+c=0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If alpha, beta are the roots of the equation ax^(2) +2bx +c =0 and alpha +h, beta + h are the roots of the equation Ax^(2) +2Bx + C=0 then

If alpha and beta are the roots of the equation ax^(2) + bx + c = 0 , then what is the value of the expression (alpha + 1)(beta + 1) ?

If alpha, beta are the roots of the equation ax^(2)+bx+c=0 , a!=0 then alpha+beta =

If alpha,beta are the roots of the equation ax^(2)+bx+c=0, then prove that (alpha)/(beta)+(beta)/(alpha)=(b^(2)-2ac)/(ac)

If alpha,beta are the roots of the equation ax^(2)+bx+c=0 and alpha+delta,beta+delta are the roots of the equation Ax^(2)+Bx+C=0 then prove that (b^(2)-4ac)/(a^(2))=(B^(2)-4AC)/(A^(2)) for some constant value of delta

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