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

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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 its eccentric angle $θ$ of point of contact.

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Elijah Discussed

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

touches the ellipse

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

then, find its 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 its eccentric angle

θ

of point of contact.