gaokao 2023 Q12

gaokao · China · national-A-science 5 marks Conic sections Focal Distance and Point-on-Conic Metric Computation
The ellipse $\frac{x^{2}}{9} + \frac{y^{2}}{6} = 1$ has foci $F_{1} , F_{2}$ and center $O$ . Let $P$ be a point on the ellipse. If $\cos \angle F_{1}PF_{2} = \frac{3}{5}$ , then $|OP| =$
A. $\frac{2}{5}$
B. $\frac{\sqrt{30}}{2}$
C. $\frac{3}{5}$
D. $\frac{\sqrt{35}}{2}$ 
The ellipse $\frac{x^{2}}{9} + \frac{y^{2}}{6} = 1$ has foci $F_{1} , F_{2}$ and center $O$ . Let $P$ be a point on the ellipse. If $\cos \angle F_{1}PF_{2} = \frac{3}{5}$ , then $|OP| =$

A. $\frac{2}{5}$

B. $\frac{\sqrt{30}}{2}$

C. $\frac{3}{5}$

D. $\frac{\sqrt{35}}{2}$
Paper Questions
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