Question

If the length of portion of normal intercepted between the curve & x-axis varies as the square of the ordinate, then the curve is

(a)   kx + √(1 - k²x²) = C .e^ky

(b)   ky + √(k²y² - 1) = C .e^kx

(c)   ky + √(k²x² - 1) = Ce^xy

(d)   None of these

Answer 1

Correct option  (b)   ky + √(k²y² - 1) = C .e^kx

Explanation:

Normal is Y– y  = dx/dy(X - x)

Point on x-axis is(x + ydy/dx,0)