[" Tangents drawn to hyperbola "],[(x^(2))/(16)-(y^(2))/(4)=1" at "(4sqrt(2),2)" on it,"],[" meets the asymptotes at "A" and "B" ."],[" The area "OAB," O being the origin is "]

If the tangent drawn to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 at any point P meets the coordinate axes at the points A and B respectively. If the rectangle OACB (O being the origin) is completed, where C lies on (x^2)/(a^2)-(y^2)/(b^2)=lambda . Then, the value of lambda is:

Normal is drawn at one of the extremities of the latus rectum of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 which meets the axes at points A and B . Then find the area of triangle OAB(O being the origin).

Tangents at any point P is drawn to hyperbola (x^(2))/(a^(2)) - (y^(2))/(b^(2)) =1 intersects asymptotes at Q and R, if O is the centre of hyperbola then

Tangents at any point P is drawn to hyperbola (x^(2))/(a^(2)) - (y^(2))/(b^(2)) =1 intersects asymptotes at Q and R, if O is the centre of hyperbola then

The product of the perpendiculars drawn from the hyperbola (x^(2))/(4)-(y^(2))/(8)=1 to its asymptotes is

Asymptotes of a Hyperbola (x^(2))/(25)-(y^(2))/(16)=1 are ..........

If tangents drawn from the point (a,2) to the hyperbola (x^(2))/(16)-(y^(2))/(9)=1 are perpendicular, then the value of a^(2) is