Question:medium

If the line \( y - \sqrt{3}x + 3 = 0 \) cuts the parabola \( y^2 = x + 2 \) at \( A \) and \( B \), then \( PA \cdot PB \) where \( P = (\sqrt{3},0) \) is

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Avoid direct distance formulas; use roots for product problems.
Updated On: Apr 23, 2026
  • $\frac{4(2-\sqrt{3})}{3}$
  • $\frac{4(\sqrt{3}+2)}{3}$
  • $\frac{4\sqrt{3}}{3}$
  • $\frac{2(\sqrt{3}+2)}{3}$
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The Correct Option is B

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