If ax+by=2 touches the ellipse a2x2+b2y2=1 , then find the eccentric angle θ of point of contact.

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If {{x}}{{a}}+{{y}}{{b}}={{{2}}} touches the ellipse {{{x}^{{2

Question

If $\frac{x}{a} + \frac{y}{b} = 2$ touches the ellipse $\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1$ , then find the eccentric angle $θ$ of point of contact.

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Luna Discussed

\frac{x}{a} + \frac{y}{b} = 2

touches the ellipse

\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1

, then find the eccentric angle

θ

of point of contact.

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Question Text

\frac{x}{a} + \frac{y}{b} = 2

touches the ellipse

\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1

, then find the eccentric angle

θ

of point of contact.