The number k is such that `tan { arc tan (2) + arc tan (20 k) } = k`. The sum of all possible values of k is

The number k is such that tan{arctan(2)+arctan(20k)}=k. The sum of all possible values of k is

If tan 69^(@) + tan 66^@ - tan 69^(@) tan66^@=2k , then the value of k is

In triangle ABC if tan A=(1)/(2),tan B=k+(1)/(2) and tan C=2k+(1)/(2) , and if the only possible value of k is (p)/(q) ,then the value of p+q ,(where p and q are co-prime) is

x≥0,y≥0,z≥0 and tan^(-1) x+tan^(-1) y+tan^(-1) z=k , the possible value(s) of k if xy+yz+zx=1 , then

x≥0,y≥0,z≥0 and tan^(-1) x+tan^(-1) y+tan^(-1) z=k , the possible value(s) of k if xy+yz+zx=1 , then

x≥0,y≥0,z≥0 and tan^(-1) x+tan^(-1) y+tan^(-1) z=k , the possible value(s) of k if x+y+z=xyz , then

x≥0,y≥0,z≥0 and tan^(-1) x+tan^(-1) y+tan^(-1) z=k , the possible value(s) of k if x+y+z=xyz , then

x≥0,y≥0,z≥0 and tan^(-1) x+tan^(-1) y+tan^(-1) z=k , the possible value(s) of k if xy+yz+zx=1 , then

x≥0,y≥0,z≥0 and tan^(-1) x+tan^(-1) y+tan^(-1) z=k , the possible value(s) of k if x+y+z=xyz , then

If 2 tan ^(-1) x = sin ^(-1) k then the value of k is -