A point on the curve `(x ^(2))/(A ^(2)) - (y^(2))/(B ^(2)) =1` is

Let OM be the perpendicular from origin upon tangent at any point P on the curve (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 then the length of the normal at P varies as

Show that the minimum distance of a point on the curve (a^(2))/(x^(2)) + (b^(2))/(y^(2)) = 1 from the origin is a + b.

Find the equation of the tangent at the point (x,y) of the curve : (x^(2))/(a^(2))+(y^(2))/(b^(2))=1

Find the equation of tangent at the specified point on the following curve : (x^(2))/(a^(2))-(y^(2))/(b^(2))=1" at"( a sec theta, b tan theta)

Find the equation of the tangent and normal to the curve (x^(2))/(a^(2)) - (y^(2))/(b^(2)) = 1 at the point (sqrt(2)a, b) .

Find the equation of the tangent to the curve (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the point (sqrt(2)a, b) .

The angle between the tangents to the curve (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 at the points (a,0) and (0,b) is

find the equation of the tangent to the curve (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 at the point (x_(1),y_(1))

The angle of intersection of the curves (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and x^(2)+y^(2)=ab, is