If `a,beta in R` satisfies `a^(2)+beta^(2)-2a+6 beta+1=0` then least possible value of `a^(2)+beta^(2)-2a-4 beta` is

If 2 sin^(2)beta -cos^(2)beta =2 , then beta is

If cos^(2)alpha-sin^(2)alpha=tan^(2)beta , then the value of cos^(2)beta-sin^(2)beta is

If alpha and beta are connected by the relations alpha^(2)+alpha=1 and beta^(2)+beta=1, then the value of alpha^(2)+beta^(2) is eqal to

If alpha^(2)=5 alpha-3 beta^(2)=5 beta-3 then the value of (alpha)/(beta)+(beta)/(alpha) is

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

If alpha,beta satisfy equation sin2 alpha=cos2 beta, then possible value(s) of expression (2)/(pi)[alpha-beta-(pi)/(4)] is/are

If alpha and beta are the roots of the quadratic equation x^(2)-6x+1=0, then the value of (alpha^(2))/(beta^(2))+(beta^(2))/(alpha^(2)) is

If the quadratic equation , 4^(sec^(2)alpha) x^(2) + 2x + (beta^(2)- beta + 1/2) = 0 have real roots, then find all the possible value of cos alpha + cos^(-1) beta .