The condition that the equation in `1/x+1/(x+b)=1/m+1/(m+b)` has real root that are equal in magnitude but opposite in sign

If the equation (1)/(x) + (1)/(x+a)=(1)/(lambda)+(1)/(lambda+a) has real roots that are equal in magnitude and opposite in sign, then

If the equation (1)/(x) + (1)/(x+a)=(1)/(lambda)+(1)/(lambda+a) has real roots that are equal in magnitude and opposite in sign, then

IF (1)/(x) +(1)/(x+a) =(1)/(m)+(1)/(m+a) has roots equal in magnitude but oppposite insign , then

For what value of m will the equation (x^2-bx)/(ax-c)=(m-1)/(m+1) have roots equal in magnitude but opposite in sign?

For what value of m will the equation (x^2-bx)/(ax-c)=(m-1)/(m+1) have roots equal in magnitude but opposite in sign?

For what value of m will the equation (x^2-bx)/(ax-c)=(m-1)/(m+1) have roots equal in magnitude but opposite in sign?

For what value of m will the equation (x^2-bx)/(ax-c)=(m-1)/(m+1) have roots equal in magnitude but opposite in sign?

If the roots of the equation 1/(x+p)+1/(x+q)=1/r, (x ne -p, x ne -q, r ne 0) are equal in magnitude but opposite in sign, then p + q is equal to :

If the roots of the equation 1/(x+p)+1/(x+q)=1/r (x ne -p, x ne -q, r ne 0) are equal in magnitude but opposite in sign, then p+q is equal to a)r b)2r c) r^2 d) 1/r