Question

The area of triangle formed by the coordinate axes and tangent to the curve y = log_e x at (1, 0) is

(A) 1

(B) 1/2

(C) 2

(D) 3/2

Answer 1

Correct option: (B) 1/2

Explanation:

The equation of tangent to the curve y = log_e x at (1, 0) is given by

The equation of tangent to the curve y = log_e x intersecting the coordinate axis at (1, 0) and (0, -1).

Hence, the area of triangle formed by the coordinate axes is 1/2 x 1 x 1 = 1/2 square units