st","extracted_subject":"MATH","extracted_chapter":"RECTANGULAR CARTESIAN CO-ORDIANTES","extracted_topic":"QUESTIONS RELATED TO GEOMETRICAL CONDITIONS","questionPreviewUrl":"https://cdn.pureessence.tech/question-previews/packed_canvases/canvas_1870.png?top_left_x=532&top_left_y=703&width=532&height=270&app=solveeit"},"seo_metadata":{"keywords":[]},"doubt_solver_data":{"concept_summary":[]},"embeddings":[],"is_hidden":false,"_id":"66d23e71425d76b7ab31e284","slug":"a-point-moves-such-that-the-sum-of-the-squares-of-","content":"A point moves such that the sum of the squares of its distances from the sides of a square of side unity is equal to 9. The locus of such a point is a circle","options":[{"_id":"68a936437f15af4716d39174","text":"Inscribed in the square","sequence":0,"isCorrect":false},{"_id":"68a936437f15af4716d39175","text":"Circumscribing the square","sequence":1,"isCorrect":false},{"_id":"68a936437f15af4716d39176","text":"Inside the square","sequence":2,"isCorrect":false},{"_id":"68a936437f15af4716d39177","text":"Containing the square","sequence":3,"isCorrect":true}],"correct_answer":"Containing the square","explanation":"![](https://cdn.pureessence.tech/canvas_42.png?top_left_x=1106&top_left_y=0&width=300&height=232)\n\nas per question\n\nx² + y² + (x – 1)² + (y – 1)² = 9\n\nŽ x² + y² – x – y – \\(\\frac{7}{2}\\)= 0","question_type":"single_choice","appeared_in":[],"created_at":"2024-08-30T21:49:37.475Z","__v":0,"vector_store_id":"047a1992-c96c-4317-bbd1-aeef0eef3565","updated_at":"2024-08-30T21:49:37.475Z","isStarred":false},"params":{"questionSlug":"a-point-moves-such-that-the-sum-of-the-squares-of-"}}]}]]

Question: A point moves such that the sum of the squares of its distances from the sides of a square of side u...

Solution