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If the equation of the ellipse is 3x^...

If the equation of the ellipse is `3x^2+2y^2+6x-8y+5=0` , then which of the following is/are true? `e=1/(sqrt(3))` Center is `(-1,2)dot` Foci are `(-1,1)a n d(-1,3)dot` Directrices are `y=2+-sqrt(3)`

A

` e=1sqrt(3)`

B

Center is (-1,2)

C

Foci are (-1,2)

D

Directrices are y=`2+-sqrt(3)`

Text Solution

AI Generated Solution

To solve the given equation of the ellipse \(3x^2 + 2y^2 + 6x - 8y + 5 = 0\) and verify the statements regarding its properties, we will follow these steps: ### Step 1: Rewrite the equation in standard form We start with the equation: \[ 3x^2 + 2y^2 + 6x - 8y + 5 = 0 \] We rearrange the terms: ...
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