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Find the joint equation of the pair of l...

Find the joint equation of the pair of lines through the origin which are perpendicular to the lines given by `5x^(2) + 2xy - 3y^(2) = 0.`

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To find the joint equation of the pair of lines through the origin that are perpendicular to the lines given by the equation \(5x^2 + 2xy - 3y^2 = 0\), we can follow these steps: ### Step 1: Factor the given equation The given equation is \(5x^2 + 2xy - 3y^2 = 0\). We can factor this equation to find the slopes of the lines it represents. ### Step 2: Factor the quadratic We can rearrange the equation: \[ ...
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