If `a+b_|_ a` and `|b| = sqrt2 |a|`, then

If cos(A+B)=(1)/(2) and B= sqrt2," then find " A and B .

If a=(2+sqrt(5))/(2-sqrt(5)) and b=(2-sqrt(5))/(2+sqrt(5)) then find value of a+b and b=(2-sqrt(5))/(2+sqrt(5)) then find

If vec a and vec b are unit vectorts,then the greatest value fo 3|vec a+vec b|+|vec a-vec b| is 2 b.2sqrt(2)c.4d .none of these

For any two real numbers a and b, sqrt((a-b)^2)+sqrt((b-a)^2) is

If (sqrt(a + 2b) + sqrt(a - 2b))/(sqrt(a + 2b) - sqrt(a - 2b)) = sqrt3 and a^(2) + b^(2) = 1 , then the find values of a and b. (b) If sqrt((x - sqrt(a^(2) - b^(2)))^(2) + y^(2)) + sqrt((x + sqrt(a^(2) - b^(2)))^(2) + y^(2)) = 2a then prove that (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1

Find A and B, if sin(A + 2B) = sqrt(3)/2 , and cos(A + B) = 1/2