If the equation `a/(x-a)+b/(x-b)=1`has two roots equal in magnitude and opposite in sign then the value of `a+b` is

If the roots of the equation (a)/(x+a+k)+(b)/(x+b+k)=2 are equal in magnitude but opposite in sign, then the value of k is

If the equation : (a +1) x^2 -(a+2)x+(a+3)=0 has roots equal in magnitude but Opposite in signs, then the roots of the equation are:

If the roots of the equation (1)/(x+a) + (1)/(x+b) = (1)/(c) are equal in magnitude but opposite in sign, then their product, is

If the roots of the equation (1)/(x+a) + (1)/(x+b) = (1)/(c) are equal in magnitude but opposite in sign, then their product, is