The ratio of the length of tangent to the length of normal to the curve `y=3e^(5x)` at the intersection point of curve and `y`-axis is

Find the length of sub-tangent to the curve y=e^(x/a)

The length of subtangent to the curve y=e^((x)/(a))

The length of subtangent to the curve, y=e^(x//a) is

The length of the subtangent at any point on the curve y=be^(x/3) is

The length of the normal to the curve y=a cos h (x/a) at any point varies as

Equation of the normal to the curve y=-sqrt(x)+2 at the point of its intersection with the curve y=tan(tan-1x) is

The equation of the tangent to the curve y=1-e^(x//2) at the tangent to the curve y=1-e^(x//2) at the point of intersection with the y-axis, is

The equation of the tangent to the curve y=1-e^((x)/(2)) at the point of intersection with the y -axis,is

Statement I The ratio of length of tangent to length of normal is inversely proportional to the ordinate of the point of tengency at the curve y^(2)=4ax . Statement II Length of normal and tangent to a curve y=f(x)" is "|ysqrt(1+m^(2))| and |(ysqrt(1+m^(2)))/(m)| , where m=(dy)/(dx).

Equation of the tangent to the curve y=1-e^((x)/(2)) at the point where the curve cuts y -axis is