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First line is (φ + α, 2φ + 1, 3φ + 1) and second line is (αβ + 4, 3q + 6, 3q + 7). For intersection φ + α = qβ + 4 .... (i) 2φ + 1 = 3q + 6 .... (ii) 3φ + 1 = 3q + 7 .... (iii)

1. φ + α = qβ + 4
2. 2φ + 1 = 3q + 6
3. 3φ + 1 = 3q + 7
4. φ + α = 3

Correct answer: φ + α = 3

Solution

The correct option is φ + α = 3 because it satisfies the conditions derived from the intersection of the two lines, indicating that this equation holds true for the values of φ and α at the point where the two lines meet.

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