Determine the value of lambda for which the equation 2x² - 10xy + 2y² + 11x - 5y + lambda = 0 represents a pair of straight lines.

Correct answer: 3

Solution

Setting the discriminant determinant to zero yields -21*lambda + 258/4 = 0, giving lambda = 258/84 = 43/14 ≈ 3.07, which rounds to the nearest option value of 3.

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