Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

The equation of normal to the curve \(y=\cos x\) at origin is

Options:

\(x+y=0\)

\(y=0\)

\(x=1\)

\(x=0\)

Correct Answer:

\(x=0\)

Explanation:

To find normal we have to find slope of that normal at (0,1).

y' = -sinx 

slope of the normal is $m_{slope} = \frac{1}{- sinx}|_{x=0} = \infty$

Equation of normal is $y - 0 = m_{normal} (x-0) $

Since $ m_{normal} = \infty$

Equation of normal is x = 0.