" g9.If "2^(x)+2^(y)=2^(x+y)

2.If "3/(x+y)+2/(x-y)=2 and 9/(x+y)-4/(x-y)then

Let f (x,y)= x^(2) - y^(2) and g (x,y)=2xy. such that (f ( x,y))^(2) -(g (x,y))^(2)=1/2 and f (x,y) . G(x,y) =(sqrt3)/(4) Find the number of ordered pairs (x,y) ?

Let f (x,y)= x^(2) - y^(2) and g (x,y)=2xy. such that (f ( x,y))^(2) -(g (x,y))^(2)=1/2 and f (x,y) . G(x,y) =(sqrt3)/(4) Find the number of ordered pairs (x,y) ?

9.If x^(2)+y^(2)+z^(2)=1 then the maximum value of x+2y+3z is quad ( where . =G.I.t

{:("Column" A ,, "Column" B), ((3x^(2) - 5)- (2x^(2) - 5 + y^(2)) ,, (a) x^(2) + xy + y^(2)) , (9x^(2) - 16y^(2) ,, (b) 2) , ((x^(3) - y^(3))/(x-y) ,, (c) (9x + 16y) (9x - 16y)) , ("The degree of " (x + 2) (x+3) ,, (d) x^(2) - y^(2)) , (,, (e) 1) , (,, (f) (3x + 4y) (3x - 4y)):}

Multiply (9)/(2)x^(2)y by (x + 2y)

Factorise : 49 (x-y)^2 - 9 (2x +y)^2

x"@"y=(x+y)^(2) x#y=(x-y)^(2) Find the value of (9#7)"@"(21#5):

If g(x) is a polynomial satisfying g(x)g(y)=g(x)+g(y)+g(xy)-2 for all real x and y and g(2)=5 then lim_(x rarr3)g(x) is