Question

A graph is defined in polar co-ordinates as $\left(\Theta \right)=cos\Theta +\frac{1}{2}$. THe smallestx-coordinates of any point on the graph is

• A. $-\frac{1}{16}$
• B. $-\frac{1}{8}$
• C. $-\frac{1}{4}$
• D. $-\frac{1}{2}$

Answer 1

The correct option is D $-\frac{1}{2}$

Consider the problem

$\theta =\cos \theta +\frac{1}{2}$

Since, smallest value of $\cos \theta$ is $-1$

Therefore, Smallest coordinate of any point on the graph will be $-1+\frac{1}{2}$

i.e $-\frac{1}{2}$

Hence, Option $D$ is the correct answer.