Parabola
Properties of Parametric Points
Grade 11

Question:

<p>VA ⊥ VB ⟹ find the relationship between t₁ and t₂ where VA and VB are vectors from vertex to points on parabola.</p>

Step-by-Step Solution

Key Concept: Two vectors are perpendicular when their dot product equals zero, leading to a constraint on the parameters of the parabola points.
<p><strong>Step 1:</strong> For perpendicular vectors VA and VB, we have:</p><p>$$\frac{VA \cdot VB}{|VA||VB|} = -1$$</p><p><strong>Step 2:</strong> This gives us the condition: $$t_1 t_2 = -4$$</p><p>∴ Answer is (d).</p>
Correct Answer: D

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