If `x^2/b^2+y^2/(4a^2)=1` and minimum area with coordinate axes of tangent is `Kab` . then the value of `K` is

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 )

If the minimum area of the triangle formed by a tangent to the ellipse (x^(2))/(b^(2))+(y^(2))/(4a^(2))=1 and the co-ordinate axis is kab, then k is equal to ____________.

From a point P, two tangents PA and PB are drawn to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 . If these tangents cut the coordinates axes at 4 concyclic points, then the locus of P is

If y=x^(2)+ax+b has a minimum at x=3 and the minimum value is 5, then the values of a and b

Tangent to the ellipse (x^(2))/(32)+(y^(2))/(18)=1 having slope -(3)/(4) meet the coordinates axes in A and B. Find the area of the DeltaAOB , where O is the origin .

The area of triangle formed by tangent at (1,1) on y=x^(2) +bx +c with coordinate axis is equal to 1 then the integral value of b is