Question

At which point the line x/a + y/b = 1,  touches the curve  y = be^-x/a

(A) (0, 0) 

(B) (0, a) 

(C) (0, b) 

(D) (b, 0)

Answer 1

Answer is (C) (0, b)

Let the point be (x₁, y₁).

Therefore,

Now, the equation of tangent of given curve at point (x₁, y₂) is

Hence, the point is (0, b).