[" Choose the correct answer: "],[[" (1) If "alpha" and "beta(alpha

Fill in the gaps with correct answers. If alpha and beta lie in 1st and 2nd quadrants respectively, and if sin alpha = (1)/2, sin beta = (1)/3, then sin ( alpha + beta ) = _____.

alpha, beta, gamma are the roots of the equation x^(3) - 10x^(2) + 7x + 8 = 0 . Match the following and choose the correct answer. i. alpha + beta + gamma" " (a) - 43/4 ii. alpha^(2) + beta^(2) + gamma^(2)" " (b) - 7/8 iii. (1)/(alpha) +(1)/(beta) + (1)/(gamma)" " (c ) 86 iv. (alpha)/(beta gamma) + (beta)/(gamma alpha) + (gamma)/(alpha beta)" " (d) 10 " " (e )10

If alpha1=beta but alpha^(2)=2 alpha-3;beta^(2)=2 beta-3 then the equation whose roots are (alpha)/(beta) and (beta)/(alpha) is

Choose the correct answer in each of the following questions: If cos (alpha + beta)=0 " then " sin(alpha -beta)=?

Select and write the correct answer from the given alternatives in each of the following:If A=[[a,b][b,a]] and A^2=[[alpha,beta],[beta,alpha]] ,then

Select and write the correct answer from the given alternatives in each of the following: If alpha , beta are non-real cube roots of unity, then (1 + alpha) (1 + beta) (1 + alpha^4) (1 + beta^4) (1 + alpha^4) (1 + beta^4) …. Upto 2n factors is equal to

Select and write the correct answer from the given alternatives in each of the following: If alpha , beta are non-real cube roots of unity, then (2 - alpha) ( 2 - alpha^2) (2 - beta) (2 - beta^2) is equal to