The least intercept made by the coordinate axes on a tangent to the ellipse `x^2/64+y^2/49=1` is

Prove that the minimum length of the intercept made by the axes on the tangents to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is equal to (a+b)

The sum of the squares o the intercepts on the coordinates axes of any tangent to x^(2//3)+y^(2//3)=a^(2//3) is

The sum of the intercepts made on the axes of coordinates by any tangent to the curve sqrtx +sqrty = 2 is equal to

The sum of the intercepts made on the axes of coordinates by any tangent to the curve sqrtx +sqrty = 2 is equal to

The sum of the intercepts made on the axes of coordinates by any tangent to the curve sqrt(x)+sqrt(y)=2 is equal to

If "l" is the length of intercept made by a common tangent to the circle " x^(2)+y^(2)=16 " and the ellipse " (x^(2))/(25)+(y^(2))/(4)=1 ," on the coordinate axis, then the value of " 3l^(2) " is

If l is the length of the intercept made by a common tangent to the circle x^2+y^2=16 and the ellipse (x^2)/(25)+(y^2)/(4)=1 , on the coordinate axes, then 81l^2+3 is equal to