What is the locus fo t he point of intersection of the striaght lines `(x//a)+(y//b) =m and (x//a)-(y//b)=1//m`?

The locus of the point of intersection of the straight lines (x)/(a)+(y)/(b)=lambda and (x)/(a)-(y)/(b)=(1)/(lambda) ( lambda is a variable), is

The locus of the point of intersection of the straight lines (x)/(a)+(y)/(b)=lambda and (x)/(a)-(y)/(b)=(1)/(lambda) ( lambda is a variable), is

Find the point of intersection of the straight lines x/a+y/b=1 and x/b+y/a=1, (a!=+-b)

Show that the locus of the point of intersection of the lines (x)/(a)-(y)/(b) = m and m((x)/(a)+(y)/(b)) = 1 , m being a verible parameter is a hyperbola.

If t is a non-zero parameter , then the locus of the point of intersection of the lines (x)/(a) + (y)/(b) = t and (x)/(a) - (y)/(b) = (1)/(t) is

A variable straight line passes through the point of intersection of the straight lines (x)/(a)+(y)/(b)=1 and (x)/(b)+(y)/(a)=1 and intersects the axes at P and Q. Find the locus of midpoint of PQ.

If m is a variable the locus of the point of intersection of the lines x//3 -y//2 = m and x//3 +y//2 =1/ m is

If m is a variable,then prove that the locus of the point of intersection of the lines (x)/(3)-(y)/(2)=m and (x)/(3)+(y)/(2)=(1)/(m) is a hyperbola.

If m is a variable the locus of the point of intersection of the lines x/3-y/2=m and x/3+y/2=1/m is