Verify `a-(-b)=a+b` for the following values of a and b. (i) a=21, b =18, (ii) a =118, b =25 (iii)a =75, b=84 (iv) a =28, b =11

Verify a-(b)=(a+b) for the following values of a and b.(i) a=21,b=18 (ii) a=118,b=125 (ii) a=75,b=84 (iv) a=75,b=11

Find the value of a and b . (sqrt11 - sqrt7 ) / (sqrt 11 + sqrt 7) = a - b sqrt 77 (i) a = 9/2 , b = 1/2 (ii) a = 2/9, b = 2/3 (iii) a = 2/5, b = 1/2 (iv) a = 9/2, b =5/2

Show that the following four conditions are equivalent : (i) A sub B (ii) A - B = phi (iii) A cup B = B (iv) A cap B = A .

Find the value of a^(2)+b^(2) when i) a+b=7,ab=12 ii a-b=7,ab=18

If a = 2 and b = 3, find the value of (i) a + b (ii) a^(2) + ab (iii) ab - a^(2) (iv) 2a - 3b (v) 5a^(2) - 2ab (vi) a^(3) - b^(3)

Find the value of the following expressions for a=3,b=2. (i) a+b (ii) 7a-4b (iii) a^(2)+2ab+b^(2)( iv )a^(3)-b^(2)

Let * be a binary operation on the set Q of rational numbers as follows: (i) a*b=a-b (ii) a*b=a^2+b^2 (iii) a*b=a+a b (iv) a*b=(a-b)^2 (v) a*b=(a b)/4 (vi) a*b=a b^2 Find which of the binary operations are commutative and which are associative

if set B ={1,4,8,16,32,64} then which of the following is true? If not then mention why? (i) 4 in B (ii) 16 in B (iii) 2 in B ( iv) 164 in B

if a^(3-x)b^(5x)=a^(x+5)b^(3x), then the value of x log((b)/(a)) is : b (i) loga (ii) logb (iii) logx (iv) 1

If sets A = (-3, 2] and B = (-1, 5], then find the following sets (i) A cap B (ii) A cup B (iii) A - B (iv) B-A