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Which of the following is an asymptote o...

Which of the following is an asymptote of `3x^(2)-4y^(2)--12=0?`

A

`y=(4)/(3)x`

B

`y=-(2)/(sqrt3)x`

C

`y=-(3)/(4)x`

D

`y=(sqrt(3))/(2)x`

Text Solution

AI Generated Solution

To find the asymptotes of the hyperbola given by the equation \(3x^2 - 4y^2 - 12 = 0\), we will follow these steps: ### Step 1: Rearrange the Equation Start by rearranging the given equation into a standard form of a hyperbola. We will isolate the constant on one side. \[ 3x^2 - 4y^2 = 12 \] ...
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