Home
Class 12
MATHS
If alpha, beta are the roots of x^(2) + ...

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

A

`x^(2) +alphax-beta=0`

B

`x^(2)-x(alpha+beta+alphabeta)-alphabeta(alpha+beta)=0`

C

`x^(2)+x(alpha+beta+alphabeta)x+alphabeta(alpha+beta)=0`

D

`x^(2)+x(alpha+beta+alphabeta)-alphabeta(alpha+beta)=0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Assertion (A) : If alpha, beta are the roots of ax^(2) + bx + c = 0 then the equation whose roots are (alpha-1)/(alpha), (beta-1)/(beta) is c(1-x)^(2)+ b(1-x)+a=0 Reason (R): If alpha, beta are the roots of f(x) = 0 then the equation whose roots are (alpha-1)/(alpha) and (beta-1)/(beta) is f((1)/(1-x))=0

If alpha, beta are the roots of x^(2) - x + 1 = 0 then the quadratic equation whose roots are alpha^(2015), beta^(2015) is

If alpha, beta are the roots of ax^2 + bx + c = 0, the equation whose roots are 2 + alpha, 2 + beta is

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

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

If alpha, beta are the roots of x^(2)+6x+9=0 , then the equation whose roots are (1)/(alpha), (1)/(beta) is

If alpha, beta are the roots of x^(2)+x+1=0 , then the equation whose roots are alpha^(5), beta^(5) is

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

If alpha, beta are the roots of ax^(2) + bx + c = 0 then the equation with roots (1)/(aalpha+b), (1)/(abeta+b) 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).