Question

If $A\left(\cos \theta_{1}, \sin \theta_{1}\right),B\left(\cos \theta_{2}, \sin \theta_{2}\right) \& C\left(\cos \theta_{3}, \sin \theta_{3}\right)$, then orthocenter of $\triangle A B C$ is

(1) $\left(\frac{\Sigma \cos \theta_{1}}{2}, \frac{\Sigma \sin \theta_{1}}{2}\right)$

(2) $\left(\frac{\Sigma \cos \theta_{1}}{3}, \frac{\Sigma \sin \theta_{1}}{3}\right)$

(3) $\left(\Sigma \cos \theta_{1}, \Sigma \sin \theta_{1}\right)$

(4) Data insufficient

Answer 1

ANSWER : The correct answer of this question is option (3).