a +b , b+ c 1- ab 1- bc o b, are in For a, b, CER1O), let AP. If α, β are the roots of the quadratic equation 2acx2 + 2abcx + (a + c) 0, then the value of 1 + α)(1 + β) is

For a , b , c in R-{0} , let (a+b)/(1-ab) , b , (b+c)/(1-bc) are in A.P. If alpha , beta are the roots of the quadratic equation 2acx^(2)+2abcx+(a+c)=0 , then the value of (1+alpha)(1+beta) is

For a , b , c in R-{0} , let (a+b)/(1-ab) , b , (b+c)/(1-bc) are in A.P. If alpha , beta are the roots of the quadratic equation 2acx^(2)+2abcx+(a+c)=0 , then the value of (1+alpha)(1+beta) is

For a , b , c in R-{0} , let (a+b)/(1-ab) , b , (b+c)/(1-bc) are in A.P. If alpha , beta are the roots of the quadratic equation 2acx^(2)+2abcx+(a+c)=0 , then the value of (1+alpha)(1+beta) is

For a , b , c in R-{0} , let (a+b)/(1-ab) , b , (b+c)/(1-bc) are in A.P. If alpha , beta are the roots of the quadratic equation 2acx^(2)+2abcx+(a+c)=0 , then the value of (1+alpha)(1+beta) is

If x_(1),x_(2) are the roots of the quadratic equation ax^(2)+bx+c=0 and c ne 0, find the value of (ax_(1)+b)^(-2)+(ax_(2)+b)^(-2) in terms of a,b,c

If alpha and beta are roots of the equation x^2-8x+p=0 , then α^2+β^2=40 , find the value of p .

If alphaa n dbeta are the roots of the equation x^2+b x+c=0 ,where c 0 b c then (a) 0 α 0 β 2 α 2 alpha (c) α α 0 α 2 β 2 alpha

If ab + bc + ca = 0 , then the value of 1/(a^2 - bc) + 1/(b^2 - ca) + 1/(c^2 - ab) will be :

If (a + b) / (1- ab) , b, (b + c) / (1 - bc) are in A.P., then a, 1/b , c are in