Let `2 alpha^2 + 6 alpha beta + 5 beta^2 =`1, where `alpha,beta in R`, then the maximum value of `( 2 alpha^2 -1)` is

If sin(alpha+beta)=1 and sin(alpha-beta)=1/2 , where 0lt=alpha, betalt= pi/2 , then find the values of tan(alpha+2beta) and tan(2alpha+beta) .

Let a^(2) + b^(2) = alpha^(2) + beta^(2) = 2 then show that the maximum value of S= ( 1-a) ( 1-b) + (1-alpha) (1- beta) is

If sin(alpha+beta)=1 and sin(alpha-beta)=1/2 where alpha,beta in [0,pi/2] , then tan(2alpha+beta)=

if alpha and beta satisfy sin alpha cos beta=-(1)/(2), then the greatest value of 2cos alpha sin beta is

If alpha and beta satisfy sin alpha cos beta=-((1)/(2)), then the greatest value of 2cos alpha sin beta is

If for one quadratic equation alpha + beta =5 " and " alpha beta =6 , then find value of alpha^2 + beta^2

If tan(alpha-beta)=1, sec(alpha+beta)=2/(sqrt(3) and alpha, beta are positive then the smallest value of alpha is

IF alpha^2=5alpha-6,beta^2=5beta-6, alpha ne beta then the equation whose roots alpha/beta,beta/alpha is……