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) \(kx + \sqrt{1 -k^2x^2} = C.e^{ky}\)

(b) \(ky + \sqrt{k^2y^2-1} = C.e^{kx}\)

(c) \(ky + \sqrt{k^2x^2-1} = Ce^{xy}\)

(d) None of these

Answer 1

Correct option is (b) \(ky + \sqrt{k^2y^2-1} = C.e^{kx}\)