A tangent to the curve `9b^(2)x^(2)-4a^(2)y^(2)=36a^(2)b^(2)` makes intercepts of unit length on each of the coordinate axis, then the point `( a ,b)` lies

A tangent to a hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 intercepts a length of unity from each of the coordinate axes,then the point (a,b) lies on rectangular hyperbola

If a tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 makes equal intercepts of length l on cordinates axes, then the values of l is

If the tangent to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 makes intercepts p and q on the coordinate axes, then a^(2)/p^(2) + b^(2)/q^(2) =

A circle makes intercepts of length 2a and 3b on the coordinates axes.The equation ofthe tangent from the origin to the circle is

Tangent to the circle x^2+y^2=16 at the point (2,2sqrt(3)) makes intercepts a and b on x and y-axes, then a/b=?

A tangent of slope 2 to the ellipse (x^(2))/(36)+(y^(2))/(49)=1 has an intercept on the y-axis of length