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 lines (x)/(a)+(y)/(b)=lambda and (x)/(a)-(y)/(b)=(1)/(lambda), where lambda is a parameter, 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.

The locus of the point of intersection of the lines sqrt(3)x-y-4sqrt(3)lambda=0 and sqrt(3)lambda x+lambda y-4sqrt(3)=0 is a hyperbola of eccentricity 1 b.2 c.3 d.4

Find the locus of the point of intersection of the lines sqrt(3x)-y-4sqrt(3 lambda)=0 and sqrt(3)lambda x+lambda y-4sqrt(3)=0 for different values of lambda.

The locus of the point of intersection of perpendicular tangents to x^(2)/a^(2) + y^(2)/b^(2) = 1 and (x^(2))/(a^(2) + lambda) + (y^(2))/(b^(2) + lambda) = 1 , is

The locus of the point of intersection of perpendicular tangents to x^(2)/a^(2) + y^(2)/b^(2) = 1 and (x^(2))/(a^(2) + lambda) + (y^(2))/(b^(2) + lambda) = 1 , is

The locus of the point of intersection of two tangents to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1, If sum of slopes is constant lambda is

A variable straight line passes through the point of intersection of the staright lines x/a+y/b=1 and x/b+y/a=1 and intersects the axes at P and Q.Find the locus of mid-point of Pq.

A variable straight line is drawn through the point of intersection of the straight lines x/a+y/b=1 and x/b+y/a=1 and meets the coordinate axes at A and Bdot Show that the locus of the midpoint of A B is the curve 2x y(a+b)=a b(x+y)

A variable straight line is drawn through the point of intersection of the straight lines x/a+y/b=1 and x/b+y/a=1 and meets the coordinate axes at A and Bdot Show that the locus of the midpoint of A B is the curve 2x y(a+b)=a b(x+y)