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The line 2x+3y=12 touches the ellipse (x...

The line 2x+3y=12 touches the ellipse `(x^(2))/9+(y^(2))/4=2` at the points (3,2).This Statememt Is true or false.

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To determine whether the line \(2x + 3y = 12\) touches the ellipse \(\frac{x^2}{9} + \frac{y^2}{4} = 2\) at the point \((3, 2)\), we will follow these steps: ### Step 1: Write the equation of the ellipse The given ellipse is: \[ \frac{x^2}{9} + \frac{y^2}{4} = 2 \] ...
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