Find the equation for the ellipse that satisfies the given conditions Ends of major axis (± 3, 0), ends of minor axis (0, ±2)

Asked by Pragya Singh | 11 months ago |  100

##### Solution :-

Ends of major axis (± 3, 0) and ends of minor axis (0, ±2)

Here, the major axis is along the x-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 = 3 and b = 2.

The equation for the ellipse  $$\dfrac{x^2}{3^2}$$$$\dfrac{y^2}{2^2}$$ = 1

or $$\dfrac{x^2}{9}$$ + $$\dfrac{y^2}{4}$$ = 1

Answered by Abhisek | 11 months ago

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