Home
Class 11
MATHS
If alpha, beta are the roots of x^(2)-(a...

If `alpha, beta` are the roots of `x^(2)-(a-2)x-(a+1)=0` where 'a' is a variable then the minimum value of `alpha^(2)+beta^(2)` is

A

1

B

3

C

5

D

7

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 x^2 -(a-2) x- (a +1) =0 where a is a variable then the least value of alpha ^2 + beta ^2 is

If alpha,beta are the roots of the quadratic equation x^2-(a-2)x-(a+1)=0 , where a is a variable, then the least value of alpha^2+beta^2 is

IF alpha and beta be the roots of the equation x^2 +px -(1)/(2p ^(2))=0 where p in R , then the minimum value of alpha ^(4) + beta ^(4) =

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

If alpha , beta are the roots of x^2-2x + 4 =-0 then alpha ^5 + beta ^5 =

IF alpha , beta are the roots of x^(2)-x+2=0 then alpha ^ 2 beta + alpha beta ^2 =

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

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

If alpha , beta are the roots of x^2 +x+1=0 then alpha // beta + beta // alpha =