Let \( E \) be the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1, ab \) and \( C \) be th... VIDEO
Let \( E \) be the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1, ab \) and \( C \) be the circle \( x^{2}+y^{2}=a^{2} \). Tangents are drawn to \( E \) at \( P(a \cos \theta, b \sin \theta) \) and to \( C \) at \( Q(a \cos \theta, a \sin \theta) \) where \( \frac{-\pi}{2}\theta\frac{\pi}{2}, \theta \neq 0 \). If \( \phi \) is angle between these two tangents, then \( \max (\tan \phi) \) equalshttps://bit.ly/YTAI_PWAP https://www.pw.live
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\[
\begin{array}{l}
5 \sin ^{2} x+3 \sin x \cos x-3 \cos ^{2} x=2 \\
\sin...
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