Question

The equation of normal to the curve \[ y=\log_e x \] at the point \(P(1,0)\) is

• A. \(2x+y=2\)
• B. \(x-2y=1\)
• C. \(x-y=1\)
• D. \(x+y=1\)

Hint:

For any curve: \[ m_{\text{normal}}=-\frac{1}{m_{\text{tangent}}} \] provided tangent slope is non-zero.

Answer 1

The Correct Option is D