Show that at any point (x,y) on the curv...

Show that at any point (x,y) on the curve `y=b^((x)/(a))`, the length of the subtangent is a constant and the length of the subnormal is `(y^(2))/(a)`.

Answer

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If at any point on the curve y=f(x) , the length of the subnormal is constant, then the curve will be a

cirvle

ellipse

parabola

straight line

For the curve y^2=(x+a)^3 , the square of the subtangent is ….. Subnormal

equal to

varies as

double the

square of the

If the length of the subtangent at any point of a curve is constant , then the curve is

`y^(2) = 2kx + c`

`y = be^(x//a)`

`x^(2) = 2ky + c`

none