Question
Find the eccentricity, foci, centre and directrices of the ellipse . Also 4 give a rough sketch of it.
Answer :
Word Count : 277
We have the given equation of an ellipse: \[ \frac{x^2}{16} + \frac{y^2}{4} = 1 \] ### Step 1: Identify the Standard Form The general form of an ellipse equation is: \[ \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 \] Comparing with the given equation: \[ a^2 = 16 _______ __________ ____ ____ ________ _____ _______ ___ __________ _________.
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We have the given equation of an ellipse: \[ \frac{x^2}{16} + \frac{y^2}{4} = 1 \] ### Step 1: Identify the Standard Form The general form of an ellipse equation is: \[ \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 \] Comparing with the given equation: \[ a^2 = 16 _______ __________ ____ ____ ________ _____ _______ ___ __________ _________.
_______ _______ _______ ___ ____ ____ _____ __________ __________.
__________ _______ __________ __________ ____ _______ _______ _______ ___ ________.
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