Find the equation for the ellipse that satisfies the given conditions Ends of major axis $$(0, ±\sqrt{5})$$, ends of minor axis (±1, 0)

Asked by Pragya Singh | 11 months ago |  86

##### Solution :-

Ends of major axis $$(0, ±\sqrt{5})$$ and ends of minor axis (±1, 0)

Here, the major axis is along the y-axis.

So, the equation of the ellipse will be of the form

$$\dfrac{x^2}{a^2}$$ +$$\dfrac{y^2}{b^2}$$ = 1, where ‘a’ is the semi-major axis.

Then, a = $$\sqrt{5}$$ and b = 1.

The equation for the ellipse $$\dfrac{x^2}{1^2}+ \dfrac{y^2}{(\sqrt{5})^2}=1$$

or $$\dfrac{x^2}{1^2}+ \dfrac{y^2}{5}=1$$

Answered by Pragya Singh | 11 months ago

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