The ordinate of `y=(a/2)(e^(x/a)+e^(-x/a))`is the geometric mean of the length of the normal and the quantity ...

The length of subnormal of the curves y=a/2(e^(x//a)+e^(-x//a)) at any point is

If y = (e^(x)+e^(-x))/(e^(x)-e^(-x)) then is equal to...

The arithmetic mean of the ordinates of the feet of the normals from (2,6) to the parabola y^(2)=4x is

The arithmetic mean of the ordinates of the feet of the normals from (3,5) to the parabola y^(2)=8x is

The geometric mean of x and y is 6 and the geometric mean of x, y and z is also 6. Then the value of z is

Find the equations of tangent and normal to the curve y= e^(x) at x= 0.

y = e ^ (2x) + e ^ (3x)

The co-ordinate of the point on the curve y= x logx at which the normal is parallel to the line 2x-2y = 3 are...... A) (e^-2,2e^-2) B) (e, e) C) (e^2,2e^2) D) (-e^2, -2e^2)

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