In an ellipse x2-a2-y2-b2-1- the coordinates of vertices are

Co ordinates of vertices for #160; x ^ 2 a ^ 2 + y ^ 2 b ^ 2 =1 , are (+a,0), ( a,0) ...

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Conjugate Hyperbola

In an ellipse...

Question

In an ellipse $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1$ , the coordinates of vertices are

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Solution

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p (θ), D (θ + \frac{π}{2})

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

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

(\pm a e, 0)

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

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

\frac{x^{2}}{4} + \frac{y^{2}}{b^{2}} = 1

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

a^{2} = b^{2} - 4 b + 8

b

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

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