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Lines of a pair make angles alpha and beta with the X-axis: find tan(alpha + beta)

The same question, asked 2 times: 19 Apr 2026 S2*, 20 Apr 2026 S2. Every wording below, oldest first.

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  1. Question 1

    19 Apr 2026 S2

    55
    If two lines represented by x2−(1+3)xy+3y2=0x^2 - (1 + \sqrt{3})xy + \sqrt{3}y^2 = 0 make angles α\alpha and β\beta with the X-axis, then tan⁡(α+β)\tan(\alpha + \beta) is...

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  2. Question 2

    20 Apr 2026 S2

    56
    If the angle made by the lines represented by the equation ax2+2hxy+by2=0ax^2 + 2hxy + by^2 = 0 with X-axis are α\alpha and β\beta, then tan⁡(α+β)\tan(\alpha + \beta) is

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