Foot of the perpendicular of origin on the line joining the points $(a\cos \theta ,asin\theta ), (a\cos \varphi ,a\sin \varphi )$ is

• A

  $(\cos \theta +\cos \varphi ,\sin \theta +\sin \varphi )$

• B

  $(\cos \theta -\cos \varphi ,\sin \theta -\sin \varphi )$

• C

  $\left(\frac{{\displaystyle a(\cos \theta +\cos \varphi )}}{{\displaystyle 2}},\frac{{\displaystyle a(\sin \theta +\sin \varphi )}}{{\displaystyle 2}}\right)$

• D

  $(\cos \theta \cos \varphi ,\sin \theta \sin \varphi )$