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Find the value of k, if the equation 2x^...

Find the value of k, if the equation `2x^(2) + 4xy - 2y^(2) + 4x + 8y + k = 0` represents a pair of lines, Further find whether these lines are parallel or intersecting.

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To solve the problem step by step, we need to determine the value of \( k \) for which the given equation represents a pair of straight lines. The equation is: \[ 2x^2 + 4xy - 2y^2 + 4x + 8y + k = 0 \] ### Step 1: Identify coefficients We can compare the given equation with the general form of a conic section: ...
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