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Question:

If chord PQ subtends an angle θ at the vertex of y² = 4ax, then tan θ = ?

3√5

23√7

23√5

3√7

Solution:

Angle made by chord PQ at vertex (0,0) is given by tan θ = |2t₁ + 2t|/|1 - t₁t| = 2(1 + t₁t)/|1 - t₁t| = 3√5