The length of the sub tangent,ordinate of a point and length of sub normal at a point , (other than origin) on `y^(2)=4ax` are in

The length of normal at any point to the curve, y=c cosh(x/c) is

The length of the Sub tangent at (2,2) to the curve x^5 = 2y^4 is

The length of the subnormal to the parabola y^(2)=4ax at any point is equal to

If the length of sub-normal is equal to the length of sub-tangent at any point (3,4) on the curve y=f(x) and the tangent at (3,4) to y=f(x) meets the coordinate axes at Aa n dB , then the maximum area of the triangle O A B , where O is origin, is 45/2 (b) 49/2 (c) 25/2 (d) 81/2

If the length of sub-normal is equal to the length of sub-tangent at any point (3,4) on the curve y=f(x) and the tangent at (3,4) to y=f(x) meets the coordinate axes at Aa n dB , then the maximum area of the triangle O A B , where O is origin, is 45/2 (b) 49/2 (c) 25/2 (d) 81/2

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).

Prove that for the curve y=be^(x//a) , the subtangent is of constant length and the sub-normal varies as the square of the ordinate .

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

The algebraic sum of the ordinates of the feet of 3 normals drawn to the parabola y^2=4ax from a given point is 0.

The locus of the point of intersection of normals at the points drawn at the extremities of focal chord the parabola y^2= 4ax is