A) \[\left( 10,0 \right)\]
B) \[\left( 10\sqrt{2,0} \right)\]
C) \[\left( -10\sqrt{2,0} \right)\]
D) none of these
Correct Answer: A
Solution :
\[OP=5\sqrt{2}\sec \theta ,O{{P}_{1}}=5\sqrt{2}\cos ec\theta \] |
\[\Delta P{{P}_{_{1}}}{{P}_{2}}=\frac{100}{\sin 2\theta },{{\left( \Delta P{{P}_{1}}{{P}_{2}} \right)}_{\min }}=100\] |
\[\Rightarrow \theta =\pi /4\Rightarrow OP=10\] |
\[\Rightarrow P=\left( 10,0 \right),\left( -10,0 \right)\] |
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