UP TGT Mathematics Co-ordinate Geometry Test Series - Part 3

If the tangents at t₁ and t₂ on the parabola y² = 4ax intersect on the axis of symmetry, then:

Type: MCQ • Marks: 1
If the tangents at t₁ and t₂ on the parabola y² = 4ax intersect on the axis of symmetry, then:
Options
A. t₁t₂ = 1
B. t₁ = t₂
C. t₁t₂ = -1
D. t₁ + t₂ = 0
Explanation
If intersection lies on x-axis (y = 0), then a(t₁ + t₂) = 0 => t₁ + t₂ = 0.
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