The triangle PQR is inscribed in the circle x² + y²= 25. If Q = (3, 4) and R = (–4, 3) then $∠ QPR =$

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$\frac{π}{2}$

$\frac{π}{3}$

$\frac{π}{6}$

$\frac{π}{4}$

answer is C.

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Detailed Solution

$Slope of OQ = \frac{4}{3}, Slope of OR = \frac{- 3}{4} (Slope of OQ) (Slope of OR) = - 1 OQ ⊥ OR \Rightarrow ∠ QOR = \frac{π}{2} \Rightarrow ∠ QPR = \frac{π}{4}$

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