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Previous Year Question (PYQs)



The length of major axis and coordinate of vertices for the ellipse $3x^{2}+2y^{2}=6$ respectively are:





Solution

Given ellipse: $3x^{2}+2y^{2}=6 \;\;\Rightarrow\;\; \dfrac{x^{2}}{2}+\dfrac{y^{2}}{3}=1$.  
Here $a^{2}=3,\; b^{2}=2 \;\Rightarrow\; a=\sqrt{3}$.  
Major axis length $=2a=2\sqrt{3}$, vertices $=(0,\pm \sqrt{3})$.  

{Answer:} $2\sqrt{3},\;(0,\pm\sqrt{3})$


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