If the point (-5+ 2 ,-3+ 2 ) is an interior point of the larger segement of the circles x…
Mathematics · JEE Main · NTA Exams — Co-ordinate Geometry
If the point \(\left(-5+\frac{\lambda}{\sqrt{2}},-3+\frac{\lambda}{\sqrt{2}}\right)\) is an interior point of the larger segement of the circles x2 + y2 = 16 cut off by the line x + y = 2, then
- \(\lambda \in(-\infty, 5 \sqrt{2})\)
- \(\lambda \in(4 \sqrt{2}-\sqrt{14}, 5 \sqrt{2})\)
- \(\lambda \in(4 \sqrt{2}-\sqrt{14}, 4 \sqrt{2}+\sqrt{14})\)
- none of these
Answer
(B) (4 2 - 14 , 5 2 )
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