If `alpha` and `beta` are roots of the equation `x^(2)+sintheta.x-2sintheta=0` then `(a^(12)+beta^(12))/((a^(-12)+beta^(-12))(alpha-beta)^(24))` is equal to

If alpha and beta are roots of the equation x^(2)+sin theta_(12)x-2sin theta=0 then (a^(12)+beta^(12))/((a^(-12)+beta^(-12))(alpha-beta)^(24)) is equal to

If alpha and beta are the roots of the equation x ^(2) + alpha x + beta = 0, then

If alpha and beta the roots of the quadratic equation, x^(2)+x sintheta-2sintheta=0,theta in(0,(pi)/(2)), then (alpha^(12)+beta^(12))/((alpha^(-12)+beta^(-12))(alpha-beta)^(24)) is equal to

If alpha and beta the roots of the quadratic equation, x^(2)+x sintheta-2sintheta=0,theta in(0,(pi)/(2)), then (alpha^(12)+beta^(12))/((alpha^(-12)+beta^(-12))(alpha-beta)^(24)) is equal to

If alpha and beta the rots of the quadratic equation, x^(2)+x sintheta-2sintheta=0,theta in(0,(pi)/(2)), then (alpha^(12)+beta^(12))/((alpha^(-12)+beta^(-12))(alpha-beta)^(24)) is equal to

If alpha and beta are the roots of the equation x^(2)+10x-7=0 then the value of (alpha^(12)+beta^(12)-7(alpha^(10)+beta^(10)))/(2(alpha^(11)+beta^(11))) is

If alpha and beta are the roots of the equation x^(2)+10x-7=0 then the value of (alpha^(12)+beta^(12)-7(alpha^(10)+beta^(10)))/(2(alpha^(11)+beta^(11))) is (1) 5 (2) -5 (3) 10 (4) -10

If alpha and beta are roots of the equation x^(2)+x-3=0 then value of alpha^(3)-4 beta^(2)+24 is

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