If `2 (a ^(12) + b ^(2)) = (a+b)^(2),` then show that `a =b`

If 2 (a ^(2) + b ^(2)) = (a+b)^(2), then show that a =b

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 acos^(2).(C)/(2)+c"cos"^(2)(A)/(2)=(3b)/(2), then show that a, b , c are in A.P

If 2A + B = (pi)/(2) or (3pi)/(2) then show that tan A + 2 tan B = tan (A +B).

If A=90^(@), " show that " 2(r+R)=b+c

a^2 - b^2 = (a+b) (a - b) is a

If (1)/((ax+b)(cx+d))+(A)/(ax+b) + (B)/(cx+d) then show that (1)/((ax+b)^(2)(cx+d))=(A)/((ax+b)^(2))+(AB)/(ax+b)+(B^(2))/(cx+d) .