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Show that the curves x = y^2 and xy = k ...

Show that the curves `x = y^2` and `xy = k` cut at right angles; if `8k^2 = 1`

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To show that the curves \( x = y^2 \) and \( xy = k \) cut at right angles under the condition \( 8k^2 = 1 \), we will follow these steps: ### Step 1: Find the points of intersection of the curves We have two equations: 1. \( x = y^2 \) (Equation 1) 2. \( xy = k \) (Equation 2) Substituting Equation 1 into Equation 2: ...
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