JEE Main & Advanced
Sample Paper
JEE Main Sample Paper-34
question_answer
Normal is drawn to the ellipse \[\frac{{{x}^{2}}}{27}+{{y}^{2}}=1\] at a point \[\left( 3\sqrt{3}cos\theta ,\sin \theta \right)\]where \[0<\theta <\frac{\pi }{2}\]. The value of \[\theta \] such that the area of triangle formed by normal and coordinate axes is maximum, is