The tangent and normal to the ellipse \( 3 x^{2}+5 y^{2}=32 \) \( \...

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The tangent and normal to the ellipse \( 3 x^{2}+5 y^{2}=32 \)
\( \mathrm{P}^{142} \) at the point \( P(2,2) \) meet the \( x \)-axis at \( Q \) and \( R \),

W. respectively. Then the area (in sq. units) of the triangle \( P Q R \) is
(1) \( \frac{14}{3} \)
(2) \( \frac{16}{3} \)
(3) \( \frac{68}{15} \)
(4) \( \frac{34}{15} \)
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