A straight line moves so that the sum of the reciprocals of its intercepts made on axes is constant. Show that the line passes through a fixed point. Thinking Process : For line which makes intercepts on axis (x)/(a) + (y)/( b) = 1 If (1)/( a) + (1)/( b) =constant ( (1)/(k) ) then ( k)/( a) + (k)/( b) =1and we say if passes from point (k,k).

A straight line moves so that the sum of the reciprocals of its interc

1.	A straight line moves so that the sum of the reciprocals of its intercepts made on axes is constant. Show that the line passes through a fixed point. Thinking Process : For line which makes intercepts on axis (x)/(a) + (y)/( b) = 1 If (1)/( a) + (1)/( b) =constant ( (1)/(k) ) then ( k)/( a) + (k)/( b) =1and we say if passes from point (k,k).
Answer» ANSWER :FIXED POINT will be `(X,y) = (K,k)`