3.If `(a+b)=6` then find the value of ` 1/2a+1/2b`

If tan A = (a)/(a + 1) and tan B = (1)/(2a + 1) , then find the value of A + B.

If a=2 and b=3 , then find the values of each of the following: (a) (a/b)^a (b) (1/a+1/b)^a

If a=2 and b=3 , then find the values of each of the following: (a) (a/b)^a (b) (1/a+1/b)^a

If a=2 and b=3, then find the values of each of the following: (i) a^a+b^b (ii) a^b+b^a (iii) a^b (a/b)^a (iv) (1/a+1/b)^a

If the maximum value of ||x-3| - |x-2|| is a and minimum value of |x-1| + |x-2| is b, then find the value of (a+b).

If (2a)/b =1/2 , what is the value of b/a ?

A triangle ABC is such that sin(2A+B) =1/2 and If A, B and C are in A.P., then find the value of A and C

If A=[[1,-1],[ 2,-1]] and B=[[a,1],[b,-1]] and (A+B)^2=A^2+B^2, then find the value of a and b .

If (x+1) is a factor of 2x^(3)+ax^(2)+2bx+1 , then find the value of a and b given that 2a-3b=4.

If (x+1) is a factor of 2x^(3)+ax^(2)+2bx+1 , then find the value of a and b given that 2a-3b=4.