The tangent to the curve $x=a(\theta-\si

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Applications of Derivatives

Question:

The tangent to the curve $x=a(\theta-\sin \theta), y=a(1+\cos \theta)$ at the points $\theta=(2 n+1) \pi, n \in Z$ are parallel to

Options:

x-axis

y-axis

y = x

x + y = 0

Correct Answer:

x-axis

Explanation:

$\frac{d y}{d x}=\frac{-\sin \theta}{1-\cos \theta}$

∴ $\frac{d y}{d x}=0$ for $\theta=(2 n+1) \pi$

∴ The tangent is parallel to x-axis.