For the curve x=3cos⁡θ, y=3sin⁡θ,0≤θ≤π, the tangent is parallel to the x-axis, where θ =

A
$π$
B
0
C
$\frac{π}{3}$
D
$\frac{π}{2}$

Solution:

For the tangent to be parallel to x-axis, we must
have

$\frac{d y}{d x} = 0 \Rightarrow \frac{\frac{d y}{d θ}}{\frac{d x}{d θ}} = 0 \Rightarrow \frac{3 \cos θ}{- 3 \sin θ} = 0 \Rightarrow \cot θ = 0 \Rightarrow θ = \frac{π}{2}$

Related content

Top Courses After 12th Science with PCM, PCB and PCMB

Subject Change Application in School and College

CBSE Class 10 Result 2024: Is the Release Date Early? Check Expected Schedule

Mizoram NEET Merit List 2023

Government Jobs After 12th Arts Stream

Chhattisgarh NEET UG Merit List 2023

Technical Courses After 12th – Eligibility, Duration, Salary, Top Colleges

Sikkim NEET UG Merit List 2023

How to Start Preparing for NEET From Class 10?

UP NEET UG Merit List 2023