[" 82.If the tangent at a point on the ellipse "(x^(2))/(27)+(y^(2))/(3)=1" heets the "],[" coordinate axes at "A" and "B" ,and "0" is the origin,then the minimum "],[" area (in sq.units) of the triangle "OAB" is : "]

If the tangent at a point on the ellipse (x^(2))/(27)+(y^(2))/(3)=1 meets the coordinate axes at A and B, and the origin,then the minimum area (in sq.units) of the triangle OAB is:

If the tangent at any point on the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) =1 intersects the coordinate axes at P and Q , then the minimum value of the area (in square unit ) of the triangle OPQ is (O being the origin )-

Tangent at a point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is drawn which cuts the coordinates axes at A and B the minimum area of the triangle OAB is ( O being origin )

Tangent at a point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is drawn which cuts the coordinates axes at A and B the maximum area of the triangle OAB is ( O being origin )

A tangent having slope (-4)/(3) to the ellipse (x^(2))/(18)+(y^(2))/(32)=1 intersects the major and minor axes at A and B .If o is origin,then the area of , Delta OAB is k sq.units where sum of digits of k is

The minimum area of the triangle formed by the tangent to the ellipse (x^(2))/(16) + (y^(2))/(9) =1 and the co-ordinate axes is

The minimum area of the triangle formed by the tangent to the ellipse (x^(2))/(16) + (y^(2))/(9) =1 and the co-ordinate axes is

The minimum area of triangle formed by the tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 with the coordinate axes is

If the tangent to the circle x^2+y^2=r^2 at the point (a,b) meets the co-ordinate axes at the points A and B, and O is the origin, then the area of the triangle OAB is