if `|f(x_1)-f(x_2)|<=(x_1-x_2)^2`Find the equation of gent to the curve `y= f(x)` at the point `(1, 2).`

If f(x)=log((1+x)/(1-x)), then f(x) is (i) Even Function (ii) f(x_(1))-f(x_(2))=f(x_(1)+x_(2)) (iii) ((f(x_(1)))/(f(x_(2))))=f(x_(1)-x_(2)) (iv) Odd function

If f(x) is the probability distribution function of a random variable X and X can assume only two values x_1 and x_2 then the value of f(x_1)+f(x_2) is

If f(x)=log((1+x)/(1-x)),t h e n (a) f(x_1)f(x_2)=f(x_1+x_2) (b) f(x+2)-2f(x+1)+f(x)=0 (c) f(x)+f(x+1)=f(x^2+x) (d) f(x_1)+f(x_2)=f((x_1+x_2)/(1+x_1x_2))

If f(x)=log((1+x)/(1-x)),t h e n (a) f(x_1)f(x_2)=f(x_1+x_2) (b) f(x+2)-2f(x+1)+f(x)=0 (c) f(x)+f(x+1)=f(x^2+x) (d) f(x_1)+f(x_2)=f((x_1+x_2)/(1+x_1x_2))

"I : If f(x) = cosh x + sinh x then "f(x_1 + x_2 "+...+" x_a)= f(x_1)*f(x_2)*** f(x_n) "II : If f(x) = cosh x + sinh x then "f(x_1) + f(x_2) "+...+"f(x_n) = f(x_1)* f(x_2) ***f(x_n)

If f(x_(1)-x_(2)),f(x_(1))f(x_(2)) & f(x_(1)+x_(2)) are in A.P. for all x_(1),x_(2) and f(0)!=0 then

f(x) = log((1+x)/(1-x)) satisfies the equation: f(x_(1)) +f(x_(2))