Question

 Let τ  denote a curve y = y(x) which is in the first quadrant and let the point (1, 0) lie on it. Let the tangent of τ  at a point P intersect the y-axis at Y_P. If PY_P has length 1 for each point P on τ , then which of the following options is/are correct?

Answer 1

Correct Option :-  (B, C)

Explanation :-

Let point P(x, y) 

Equation of tangent at P;

As the curve lies in the 1^st quadrant so y must be positive

Also the correct differential equation will be