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Find the equation of tangents to the cur...

Find the equation of tangents to the curve `4x^2-9y^2=1` which are parallel to `4y=5x+7.`

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To find the equation of tangents to the hyperbola \(4x^2 - 9y^2 = 1\) that are parallel to the line \(4y = 5x + 7\), we will follow these steps: ### Step 1: Rewrite the hyperbola in standard form The given hyperbola is: \[ 4x^2 - 9y^2 = 1 \] We can rewrite this in standard form: ...
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