A tangent `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` meets the axes at A and B.Then the locus of mid point of AB is

The tangent at an arbitrary point R on the curve (x^(2))/(p^(2))-(y^(2))/(q^(2))=1 meets the line y=(q)/(p)x at the point S, then the locus of mid-point of RS is

If a tangent to the parabola y^(2)=4ax intersects the (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 at A and B, then the locus of the point of intersection of tangents at A and B to the ellipse is

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 B. Show that the locus of the midpoint of AB is the curve 2xy(a+b)=ab(x+y)

A tangent to the parabola y^(2)=4ax meets axes at A and B .Then the locus of mid-point of line AB is

If the tangents to the parabola y^(2)=4ax intersect the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at A and B, then find the locus of the point of intersection of the tangents at A and B.

A variable line through the point of intersection of the lines (x)/(a)+(y)/(b)=1 and (x)/(b)+(y)/(a)=1 meets the coordinate axes in A and B.Show that the locus of the midpoint of AB is the curve 2xy(a+b)=ab(x+y)

A variable line through the point of intersection of the lines (x)/(a)+(y)/(b)=1 and (x)/(b)+(y)/(a)=1 meets the coordinate axes in A and B.Show that the locus of the midpoint of AB is the curve 2xy(a+b)=ab(x+y)

A variable line through the point of intersection of the lines (x)/(a)+(y)/(b)=1 and (x)/(b)+(y)/(a)=1 meets the coordinate axes in A and B.Show that the locus of the midpoint of AB is the curve 2xy(a+b)=ab(x+y)