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JEE MATHEMATICS MCQ: CIRCLES

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Analyzing +4 | -1
If in a Δ ABC\mathrm{\Delta }\,ABC (whose circumcentre is at the origin), a≤sin⁡A,a \le \sin A, then for any point (x,y)\left( {x,y} \right) inside the circumcircle of ΔABC,\Delta ABC,, we have
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Correct option: A
∣xy∣<18\left| {xy} \right| < \frac{1}{8}
Option A (∣xy∣<18\left| {xy} \right| < \frac{1}{8}) is correct because it is derived from the condition that the point lies inside the circumcircle and applying the AM-GM inequality.

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